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Paper Citation Record · LEDGER

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions

As of 8 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 2 inbound Pith citation observations for arXiv:2505.22464.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.22464 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:27:19.178458Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T20:08:39.810407Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-28T20:12:37.694400Z

Reference resolution

54 of 54 outbound references displayed

  • verified exact6
  • verified fuzzy39
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b041e344-0c8b-4094-b04c-0be7ddd14512 · outbound

This paper cites Description of translation invariant valuations on convex sets with solution of P.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Description of translation invariant valuations on convex sets with solution of P

Reference 1

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verified fuzzy
raw_fallback, observed 2026-08-07T13:27:25.656802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:15.486810Z digest=sha256:b4586bcd0d289d717c55d442d986d6a73da237632677d47c20c5abe4c5bde678

Observation 0442c55b-6751-45b3-a44b-ccd439caf32b · outbound

This paper cites Valuations on convex sets, non-commutative determinants, and pluripotential theory.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations on convex sets, non-commutative determinants, and pluripotential theory

Reference 2

Resolution
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raw_fallback, observed 2026-08-07T13:27:25.451305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:15.588820Z digest=sha256:f862e10464ebd95bda72a3a606c835cf40032b10abbe74976c07863cf28bd840

Observation 2cc3a6e0-57ac-4bff-b59d-908d86ab06a3 · outbound

This paper cites Theory of valuations on manifolds.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Theory of valuations on manifolds

Reference 3

Resolution
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raw_fallback, observed 2026-08-07T13:27:25.384852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:15.683744Z digest=sha256:93d9c0bbdbf4ff9c515c1ea24ff19e1a1aeea447d54da8dcb7aaf2e8dd657edd

Observation d68bfcc2-af69-4ec8-8abd-709e3cb0e5a4 · outbound

This paper cites Valuations on convex functions and convex sets and Monge-Amp` ere operators.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations on convex functions and convex sets and Monge-Amp` ere operators

Reference 4

Resolution
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raw_fallback, observed 2026-08-07T13:27:25.328562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:15.756371Z digest=sha256:748000d23108e08546196df05ab15d016758600afda7cf3f0f3cd8e60c74607c

Observation de565243-fc40-440c-8f53-c035c4b62e88 · outbound

This paper cites Convex valuations invariant under the Lorentz group.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Convex valuations invariant under the Lorentz group

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-07T13:27:25.227182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:15.823248Z digest=sha256:4e18a2aa0c154cd36555aeae8501844091ebc5d6de7fa65fe7bdc341e5f267cf

Observation f315d8e0-be35-4e9d-b7a0-eb4f23ae547e · outbound

This paper cites A Hadwiger-type theorem for the special unitary group.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions A Hadwiger-type theorem for the special unitary group

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:25.147070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:15.906334Z digest=sha256:9dc44040e20130e0dd9af4d54de5e747ad2434b9e6012fdc930ae72a6017fda3

Observation 4069ab47-cebb-4f34-8e0d-d01d9bc49844 · outbound

This paper cites Valuations on manifolds and Rumin cohomol- ogy.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations on manifolds and Rumin cohomol- ogy

Reference 7

Resolution
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raw_fallback, observed 2026-08-07T13:27:25.073081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:16.001100Z digest=sha256:939744b608da73df9b60028b69154f0db27e37eb136ca94feab3ddd0be8e274f

Observation a8be676d-1cc9-4e42-a34b-31612f12a2c1 · outbound

This paper cites Curvature measures of pseudo- Riemannian manifolds.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Curvature measures of pseudo- Riemannian manifolds

Reference 8

Resolution
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raw_fallback, observed 2026-08-07T13:27:24.947614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:16.100435Z digest=sha256:03cdc1b504ab23b3abcf07ea1dc564ca9523288bf416c0d33c0d964b86974edf

Observation d6a5e3b0-bec1-44fc-ac5d-7f6e726effea · outbound

This paper cites Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations

Reference 9

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no resolver link, observed 2026-08-07T13:27:16.267508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:27:16.267508Z digest=sha256:7cdb4181489c22291b3e7aba6061d1d84962d96eb585e3e7f4084c248075a5c2

Observation 95643466-dc34-4f15-a55b-10648f787a09 · outbound

This paper cites The homogeneous decomposition of dually translation invariant valuations on Lipschitz functions on the sphere.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The homogeneous decomposition of dually translation invariant valuations on Lipschitz functions on the sphere

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:27:20.277806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:16.355343Z digest=sha256:f8dd0b1349c8aa0998671b364737075f839e278bad4e2672080e99c16214138b

Observation 10c371d0-0892-4d65-96cd-27568a902677 · outbound

This paper cites Minkowski valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Minkowski valuations on convex functions

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.822766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:16.463688Z digest=sha256:0b12de12c6de910ac0b14064787ea986951062a6c8300229a3f2b19055846d23

Observation 45108f62-0495-4e93-81c6-3a3ce93d482d · outbound

This paper cites Hessian valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Hessian valuations

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.689145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:16.545289Z digest=sha256:131380c86fd047250fb8685dc745ba79088434264a0026e661d6850b71c1cc89

Observation 083d8d8f-bc89-4d00-8e4f-2cfa95c8d83b · outbound

This paper cites A homogeneous decompo- sition theorem for valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions A homogeneous decompo- sition theorem for valuations on convex functions

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:16.622981Z digest=sha256:3314c54c7f2d65f25c4b3f2ab314b3a4f53dc8de97f85ac96b11e58248e526e7

Observation d318dc17-9edb-492c-a761-b9e0cf325646 · outbound

This paper cites The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Amp` ere measures.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Amp` ere measures

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.395490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:16.775762Z digest=sha256:213a7bd28b410e19cf50cb836e5e2e9fb2e7c58c2b754f37249fbbe735dfac86

Observation 473f941a-76cd-425e-903d-1fb302965911 · outbound

This paper cites The Hadwiger theorem on convex functions, IV: The Klain approach.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The Hadwiger theorem on convex functions, IV: The Klain approach

Reference 15

Resolution
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raw_fallback, observed 2026-08-07T13:27:24.261047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:16.910414Z digest=sha256:164c7268ad4db9aa7b7d129a6f3fbf50fe13e1575e80150d803e93f5920ff8b0

Observation 08f7f0e8-0183-4702-99c9-85d73d4a21e8 · outbound

This paper cites The Hadwiger theorem on convex functions, I.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The Hadwiger theorem on convex functions, I

Reference 16

Resolution
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raw_fallback, observed 2026-08-07T13:27:24.156076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.105580Z digest=sha256:b97f71a9d9e8e4cd512f783e6cb9a15b2cbeb41a298130769813892984ff50b9

Observation 2d133c93-c93b-46fa-9e00-1348ddef2b68 · outbound

This paper cites A class of invariant valuations on Lip(Sn−1).

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions A class of invariant valuations on Lip(Sn−1)

Reference 17

Resolution
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raw_fallback, observed 2026-08-07T13:27:24.063313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.159606Z digest=sha256:726889aaa38dcd6bb4c7138d296fef748f82db07f457e2efd2dce6af65795bc2

Observation f35649d4-c63c-4dba-b19d-de61c3cf327e · outbound

This paper cites Con- tinuous valuations on the space of Lipschitz functions on the sphere.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Con- tinuous valuations on the space of Lipschitz functions on the sphere

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:23.926320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.214831Z digest=sha256:3cf7c5e69aac9433ce38952aa3925814b826dbd4b5d198da35eb9dc2b085ed25

Observation 8a29c47b-5581-4c91-9619-5f2188108ad8 · outbound

This paper cites Commutative algebra, volume 150 of Graduate Texts in Mathematics.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Commutative algebra, volume 150 of Graduate Texts in Mathematics

Reference 19

Resolution
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raw_fallback, observed 2026-08-07T13:27:23.791079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.276645Z digest=sha256:5455827f3a612145a0ea6d775972a8611615bf5b6ffcfa2299cb9ffa02255ebb

Observation 4806af1f-4e06-412c-85d8-2db064f0da32 · outbound

This paper cites Convex valuations, from Whitney to Nash.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Convex valuations, from Whitney to Nash

Reference 20

Resolution
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local_arxiv, observed 2026-08-07T13:27:20.152331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.339425Z digest=sha256:c30b67e64bafe4fad628fd9cf36450b34c024c04d84123b0a8c4c894c7d4bb9f

Observation 0452aa1b-5d48-4bc2-a3fb-e453f0d1cf6d · outbound

This paper cites Unimodular Valuations beyond Ehrhart.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unimodular Valuations beyond Ehrhart

Reference 21

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.422656Z digest=sha256:3e936db83f06907812305a44c258666cc69deb2033f585ceca8c7a6d0d69ba8f

Observation ae481886-9b19-4367-a0c1-3c12cd3170a1 · outbound

This paper cites an unresolved cited work.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unresolved cited work

Reference 22

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.457050Z digest=sha256:fe3966cbcc4588590a8531c010dda9a42f30c40be14a9690728d11e15269fc48

Observation 0e0d2b74-89f5-43b9-80bb-5988167f2545 · outbound

This paper cites an unresolved cited work.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unresolved cited work

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.496718Z digest=sha256:ed715d67f6d4828bca642878dd356188b7f8ad3ee5f88bba075455d6a22f41cd

Observation 14787a4d-0369-4e6d-b318-6827438d837f · outbound

This paper cites Distributions and valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Distributions and valuations

Reference 24

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raw_fallback, observed 2026-08-07T13:27:23.317055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.546712Z digest=sha256:4825e2549b7778088c87ab7deeb175bbcb8fadeb63919fa95df18d333b9a7364

Observation 5ccbc460-ae89-4152-aac7-f757fa90a01c · outbound

This paper cites an unresolved cited work.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unresolved cited work

Reference 25

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raw_fallback, observed 2026-08-07T13:27:23.173098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.603700Z digest=sha256:89683246523ef6441857cd384554d69b87ad5457069e7edef0c315347c5577f1

Observation 8edbd114-af61-466e-a61a-4411e18873f9 · outbound

This paper cites Equivariant Valuations on Convex Functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Equivariant Valuations on Convex Functions

Reference 26

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T13:27:19.790634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.671629Z digest=sha256:84a1ba3c5a37e7d5c11cbfb162e69796df22462726dfefcfa7cee8d6cd9ef842

Observation 79e0d486-e1dc-4c08-b109-4891a9c3c01b · outbound

This paper cites an unresolved cited work.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unresolved cited work

Reference 27

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unresolved
raw_fallback, observed 2026-08-07T13:27:23.024470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.719207Z digest=sha256:cc2da0762374aab79c36f12c9aa9b99f24d3d6e51df544f3fabbb7702a84f8e4

Observation 40cec162-1a8e-4e63-9d10-66d3656e9c4b · outbound

This paper cites The support of dually epi-translation invariant valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The support of dually epi-translation invariant valuations on convex functions

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.888117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.772972Z digest=sha256:c059380e937dc49edef0e1f49b8b7edf1d67e18d4be3e46da9479e5e84494e59

Observation 56c21b97-fe84-4b7e-bace-37bb315a7b09 · outbound

This paper cites Unitarily invariant valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unitarily invariant valuations on convex functions

Reference 29

Resolution
verified exact
raw_fallback, observed 2026-08-07T13:27:19.671678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.838254Z digest=sha256:ea0064f45b9a827edc64f4f8ab639a6c1a98bafa6b9b56fa0e9822902dc830a5

Observation 77210414-5c2c-4e6e-8e88-b8640aafe427 · outbound

This paper cites Singular valuations and the Hadwiger theorem on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Singular valuations and the Hadwiger theorem on convex functions

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:17.919872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:27:17.919872Z digest=sha256:2654fce818f42672cde56b86f79884c9e80254e82cb6a91f02aacfd8b9adba9c

Observation 61f7cc61-9170-46a4-9ad8-3c10c7f5b223 · outbound

This paper cites A geometric decomposition for unitarily invariant valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions A geometric decomposition for unitarily invariant valuations on convex functions

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:27:19.470931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:17.968699Z digest=sha256:f790f4090b4d2a85a8a74e9e5579b33db5c4aeb0bdd3de7d63983a5e6f8af80e

Observation 0925f7c6-d369-4201-879f-5e3abd96e4a7 · outbound

This paper cites Monge-Amp` ere operators and valuations.Calc.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Monge-Amp` ere operators and valuations.Calc

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.762449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.031116Z digest=sha256:7efaf60d3a1e1adba120154c78aaee482adda7fb5ab56c77688e923fe6482157

Observation a672dc69-48cf-4306-b894-defb564e2901 · outbound

This paper cites Smooth valuations on convex bodies and finite linear combinations of mixed volumes.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Smooth valuations on convex bodies and finite linear combinations of mixed volumes

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:27:19.355496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.079420Z digest=sha256:0ad6a8661b1a3b19c9aa50922e7298eae7ca088d3498fbcca845ee5becd24e90

Observation 055a4a98-7f4c-4fd6-bf94-ee15e00a46ba · outbound

This paper cites Smooth valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Smooth valuations on convex functions

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.626489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.113260Z digest=sha256:63f5a4bf08cd004148728f8062660cd90a830592d74c9b589a08269cf47b8850

Observation 436b8b2d-7a25-4b39-b70c-e5126a40b8b5 · outbound

This paper cites From valuations on convex bodies to convex func- tions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions From valuations on convex bodies to convex func- tions

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.443959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.163118Z digest=sha256:10ebca342d2c95e81947a37d7b6b599c7d08f251fe47b08c44a818ba6f4b23b7

Observation 91acaf8b-5262-4427-8deb-d718d5b1a2ff · outbound

This paper cites Polynomial valuations on convex functions and their maximal extensions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Polynomial valuations on convex functions and their maximal extensions

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:18.240376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:27:18.240376Z digest=sha256:9e6e424010d345503159f14c69bed4a4995795bac852af7ccdcaa5e762da37e5

Observation 50952f1e-3e5d-4b56-93e9-b28a309741a0 · outbound

This paper cites From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies.Geom.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies.Geom

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.239388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.310361Z digest=sha256:b8f58121906536bb0fca6e1d11daa06de8898e1bae3b1e7053550b6794d265f6

Observation b1f32c4d-1d12-440f-8d4d-de36c11b0eb2 · outbound

This paper cites Laplace transforms and valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Laplace transforms and valuations

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.061074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.359125Z digest=sha256:caa4fe31caa368b5fa0c53c0d9aa4ecf85fc342e5e90fb10eb8ef5f5fbfc3dfb

Observation 4a3e2638-dd4a-43ed-b7ae-1c185a408de1 · outbound

This paper cites Fisher information and matrix-valued valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Fisher information and matrix-valued valuations

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.863077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.431295Z digest=sha256:c23efe3969e1ac7c1eeba040ce4010e7ab66e437ecf9824c770788d95c316c74

Observation 9b4581c9-9cc4-476b-881d-ca6e39046770 · outbound

This paper cites Valuations on Sobolev spaces.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations on Sobolev spaces

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.715117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.473050Z digest=sha256:f8177678d505927b5d422a22fb56c280ca87ea5c1e155eec0c2692c3509422b0

Observation 29748690-98d7-4a42-9bb1-8caf127df2b9 · outbound

This paper cites A classification of SL( n) invariant valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions A classification of SL( n) invariant valuations

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.636234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.507131Z digest=sha256:a61cfb1b477fdcd9336264cf459c32729a079be903aa6d6f5cede69359e95c0c

Observation f74e4dec-4b1f-4442-83eb-a6357606cb37 · outbound

This paper cites Valuations and Euler-type relations on certain classes of convex polytopes.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations and Euler-type relations on certain classes of convex polytopes

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.557850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.556380Z digest=sha256:eb3548bba938b9e3973506633be04dcc26fd9b6c9f9bef48570a084b2dde5683

Observation fa519cec-c5c2-4a14-b9b6-22f7efa666b0 · outbound

This paper cites Continuous translation-invariant valuations on the space of compact convex sets.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Continuous translation-invariant valuations on the space of compact convex sets

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.460992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.607535Z digest=sha256:f4fb9536be8eb7e514baf109c6e283c0d84709b2ea8caceb029120385cedb7d7

Observation 4235e517-5252-455d-ba9d-01fa39812c82 · outbound

This paper cites The Vectorial Hadwiger Theorem on Convex Functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The Vectorial Hadwiger Theorem on Convex Functions

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:18.673857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:27:18.673857Z digest=sha256:8b6e45dbcc46d594110745e68ed2bff1fb1f2ab2345bbb2fc8bc76a74746b80f

Observation d66f00ae-4f90-46b7-bbae-6fcfcdfe0221 · outbound

This paper cites Volume, polar volume and Euler characteristic for convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Volume, polar volume and Euler characteristic for convex functions

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.386450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.737909Z digest=sha256:c50e65478e66df2beed426d8a8e6b76b960fba8da9c6e24bfa8467907c87326d

Observation 1fb852cc-0374-467c-8233-e55a27a7ce67 · outbound

This paper cites SL( n) invariant valuations on super-coercive convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions SL( n) invariant valuations on super-coercive convex functions

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.254748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.785057Z digest=sha256:5985f4f464733dd6479a44778ca3e4df36ea9aecc013c9deaf02f20bf33acb1b

Observation 133cf597-d481-43cd-819e-4b494818048a · outbound

This paper cites Tyrrell Rockafellar.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Tyrrell Rockafellar

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.135150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.842323Z digest=sha256:b9c2958679ed17ac2cbe8b9bede2d7b419a19389e3222b643228e94cbc810dc6

Observation c4060f3a-1050-4a12-9477-4ee412d91726 · outbound

This paper cites Tyrrell Rockafellar and Roger J.-B.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Tyrrell Rockafellar and Roger J.-B

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.011444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.894848Z digest=sha256:50d3e1bb09dc8ed984bcbb7ac1bbdf9e55169899ee803ae54a73873985026921

Observation b7871dc6-dbbf-4444-bc1e-41a8f8fb4532 · outbound

This paper cites Gr¨ obner bases and Stanley decompositions of determinantal rings.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Gr¨ obner bases and Stanley decompositions of determinantal rings

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.931171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:18.953024Z digest=sha256:d886379e9ff0987bc535b658d2bb51678a8bccbd186254bcf1a2917d0c0b65ec

Observation ee8ca467-6828-4b29-b511-5ffd79d813d9 · outbound

This paper cites Radial continuous valuations on star bodies.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Radial continuous valuations on star bodies

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.799218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:19.012654Z digest=sha256:22cb9a9414d9a0f88ba7a81cd2f46c7457a1e831ab1a108b72bfc3b9a361359e

Observation e7e546a3-15cc-4dca-a573-e09ba6de6c72 · outbound

This paper cites Continuity and representation of valuations on star bodies.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Continuity and representation of valuations on star bodies

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.700961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:19.047636Z digest=sha256:eeff4e5d14693720409cfe7001846fbb113cdc800e68b762c530e7e0a393dc16

Observation 21a5ac39-b0d0-4f06-9b99-71a2bc2eb7ab · outbound

This paper cites Valuations on Banach lattices.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations on Banach lattices

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.598237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:19.099416Z digest=sha256:3a4389e4249589f4b78dd1726e6630a7cf0adb7312e9159f5e074d9e759d3177

Observation 10422748-11d0-4470-9871-d117d6fdfdf9 · outbound

This paper cites Radial continuous rotation invariant valuations on star bodies.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Radial continuous rotation invariant valuations on star bodies

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.507708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:19.135606Z digest=sha256:5c2f130fafe51a54969e900ee1a60a271abd2115f461c773b7e620785531ba18

Observation 41de71d2-6302-4d83-b35b-28bfea933684 · outbound

This paper cites The module of unitarily invariant area measures.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The module of unitarily invariant area measures

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.383058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:27:19.178458Z digest=sha256:cd8bc0523466802bf887de3ac66c4c72ad30e0e765e007f9e13f28b35153d0ae

Pith citing papers

Observation 80ceed71-f5b2-4897-893d-e613117b7c3a · inbound

Integral representation of polynomial local functionals on convex functions cites this paper.

Integral representation of polynomial local functionals on convex functions A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-11T23:16:31.630383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-07T17:40:52.967294Z digest=sha256:a5a38ff7de2b2f0c5a4ece4e780907e8844d36ded62c7166ce6d4363ec89836e

Observation f4e5cc13-eb89-4c6a-994c-4a43a43fc138 · inbound

Translation invariant area measures on convex bodies cites this paper.

Translation invariant area measures on convex bodies A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-06-28T20:12:37.695544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T20:08:39.810407Z digest=sha256:79b500dab7f93d474317bee1511652c856b6e9b6030bd180d6c2af6818af29f8