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Paper Citation Record · LEDGER

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds

As of 13 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2412.10007.

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pith.paper-citation-record.v1
2412.10007 v1

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measured 47 of 47 reference resolution

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47 of 47 outbound references displayed

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Outbound references

Observation 817c77cf-fc56-413e-8d32-71acc6503636 · outbound

This paper cites Anderson, On the topology of complete manifolds of non-negative Ricci curvature, Topology 91 (1990), 41–55.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Anderson, On the topology of complete manifolds of non-negative Ricci curvature, Topology 91 (1990), 41–55

Reference 1

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Observation 720417fb-f6b3-408f-97f4-6cfc744bdf9c · outbound

This paper cites Aubin, Nonlinear analysis on manifolds.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Aubin, Nonlinear analysis on manifolds

Reference 2

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Observation fb64777a-2ebc-4e9d-987a-6a4a63e96d95 · outbound

This paper cites Alessandrini, Nodal lines of eigenfunctions of fixed membrane problem in general convex do- mains, Comment.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Alessandrini, Nodal lines of eigenfunctions of fixed membrane problem in general convex do- mains, Comment

Reference 3

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Observation ddf35b88-557c-4973-8b9f-f8b75c6eebe4 · outbound

This paper cites Alessandrini, On Courant’s nodal domain theorem, Forum Math.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Alessandrini, On Courant’s nodal domain theorem, Forum Math

Reference 4

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Observation 037adf6d-3442-4423-a23f-bdcbb6e368d1 · outbound

This paper cites B¨ ar, On nodal sets for Dirac and Laplace operators, Comm.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds B¨ ar, On nodal sets for Dirac and Laplace operators, Comm

Reference 5

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Observation 1179c0b1-f211-42ec-862b-09e471a1ff06 · outbound

This paper cites Bartsch, Z.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Bartsch, Z

Reference 6

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Observation 10280e5d-07b8-4125-a5d3-aafd8bc58650 · outbound

This paper cites an unresolved cited work.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 7

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Observation 509a48bd-5424-4a5d-94ce-853587129e0e · outbound

This paper cites Chavel, Eigenvalues in Riemannian geometry , Pure Appl.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Chavel, Eigenvalues in Riemannian geometry , Pure Appl

Reference 8

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Observation 6021be5c-4c09-4c7d-8f53-0ed95ecd4996 · outbound

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Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 9

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Observation b95f8001-bdd7-40cf-9f93-623eca7866b3 · outbound

This paper cites Courant and D.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Courant and D

Reference 10

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Observation 9e2d1090-ac0e-4510-a9f1-f844a62c7d56 · outbound

This paper cites an unresolved cited work.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 11

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Observation 70c472d4-85f6-4292-9e9f-91456d6f428b · outbound

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Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 12

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Observation a77d5b0a-f6a8-4769-9d82-d5ed69e224d7 · outbound

This paper cites Deng and S.-M.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Deng and S.-M

Reference 13

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Observation f956f0ca-f6da-4ee1-932e-8da72a2ddde9 · outbound

This paper cites Donnelly and C.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Donnelly and C

Reference 14

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Observation 3cb63920-d96b-4da9-9533-f9287262d59f · outbound

This paper cites Donnelly and C.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Donnelly and C

Reference 15

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Observation c940dcac-d151-4da4-a2e0-9541d37902f6 · outbound

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Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 16

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Observation 61b797db-3c09-4852-a37f-113728296673 · outbound

This paper cites Feller, Generalized second order differential operators and their lateral conditions, Illinois J.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Feller, Generalized second order differential operators and their lateral conditions, Illinois J

Reference 17

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Observation 8337e417-3557-4ac5-a967-4dff13756d42 · outbound

This paper cites Freitag, Complex analysis.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Freitag, Complex analysis

Reference 18

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Observation 58d0bf76-c506-482a-999e-2ffab7731977 · outbound

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Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 19

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Observation 297635df-3e42-4000-9898-485838c36836 · outbound

This paper cites Grigor’yan, Analytic and geometric background of recurrence and non-explosion of Brownian motion on Riemannian manifolds, Bull.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Grigor’yan, Analytic and geometric background of recurrence and non-explosion of Brownian motion on Riemannian manifolds, Bull

Reference 20

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Observation 3f684182-4575-41cc-9530-baa4b0e44d55 · outbound

This paper cites Grigor’yan, Heat kernel and analysis on manifolds , AMS/IP Stud.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Grigor’yan, Heat kernel and analysis on manifolds , AMS/IP Stud

Reference 21

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Observation 1414f686-c006-4531-9609-cd9d49e6d0c4 · outbound

This paper cites Gutkin and P.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Gutkin and P

Reference 22

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Observation 33b0ddbf-548d-4bc6-bdf3-b1457f116ebb · outbound

This paper cites Hebey, Sobolev spaces on Riemannian manidolds , Springer-Verlag, Berlin, 1996.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Hebey, Sobolev spaces on Riemannian manidolds , Springer-Verlag, Berlin, 1996

Reference 23

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Observation 1de8d3c4-0696-4049-81bd-0f619b3e7bbb · outbound

This paper cites Hu, K.-S.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Hu, K.-S

Reference 24

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Observation dc85d891-1395-4099-8ff5-f85d903bb271 · outbound

This paper cites Jost, Riemannian geometry and geometric analysis , Universitext, Springer Cham, 2017.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Jost, Riemannian geometry and geometric analysis , Universitext, Springer Cham, 2017

Reference 25

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Observation d915229a-c1cd-4b04-8280-422a92a87545 · outbound

This paper cites Kesseb¨ ohmer and A.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Kesseb¨ ohmer and A

Reference 26

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Observation 238ed85b-1401-4388-861b-843e1d388b7c · outbound

This paper cites Spectral dimensions of Krein-Feller operators in higher dimensions.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Spectral dimensions of Krein-Feller operators in higher dimensions

Reference 27

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Observation 8347ac3d-c7df-4684-8876-c36bbc33fc96 · outbound

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Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 28

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Observation dc99085e-8e63-499b-9c50-70a0f394cf16 · outbound

This paper cites Kreyszig, Introductory functional analysis with applications , John Wiley & Sons, New York- London-Sydney, 1978.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Kreyszig, Introductory functional analysis with applications , John Wiley & Sons, New York- London-Sydney, 1978

Reference 29

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Observation 55c86859-0405-4ec2-a217-d51f373f46ec · outbound

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Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 30

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Observation 9039d634-1626-497f-bb72-3efb31564a5c · outbound

This paper cites Li and L.-F.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Li and L.-F

Reference 31

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Observation b06768e9-9af1-491d-ab14-7b2c232e2ad7 · outbound

This paper cites Lin, On the second eigenfunctions of the Laplacian in R2, Comm.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Lin, On the second eigenfunctions of the Laplacian in R2, Comm

Reference 32

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Observation b1bf6df0-8f66-44c3-8a4f-001141597015 · outbound

This paper cites Littman, G.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Littman, G

Reference 33

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Observation fbf56318-56fc-4665-ae58-cac1581d6aae · outbound

This paper cites Logunov, Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure, Ann.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Logunov, Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure, Ann

Reference 34

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Observation 07a79ebf-ca17-44ee-82ea-b3a5eb8f13b4 · outbound

This paper cites Logunov, Nodal sets of Laplace eigenfunctions: proof of Nadirashvili’s conjecture and of the lower bound in Yau’s conjecture, Ann.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Logunov, Nodal sets of Laplace eigenfunctions: proof of Nadirashvili’s conjecture and of the lower bound in Yau’s conjecture, Ann

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:38:38.379135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.674169Z digest=sha256:2ac077193188c2f520cfa974e9ffa19a9bda1a91810d5da61a17395c65fb5083

Observation 73ccebb2-a9ad-423f-8213-a86c5f060245 · outbound

This paper cites Logunov and E.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Logunov and E

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:38:38.274648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.681699Z digest=sha256:a128f76dc877672d8a4c92dc97a5a906c6e1d8615d3bef60181f12e769d967d8

Observation ad62dcc0-d6eb-4698-8194-f9be0d631b7f · outbound

This paper cites an unresolved cited work.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:38:38.266309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.717172Z digest=sha256:ce2ee34a81cbbf51cba6bec257bd634194a270abc102f4d9ea901fddd5011a82

Observation ea035426-3447-4803-9674-4697982b90ec · outbound

This paper cites Ngai and L.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Ngai and L

Reference 38

Resolution
verified exact
raw_fallback, observed 2026-08-11T16:38:37.951920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.763187Z digest=sha256:9ed945ec66b18db3a9e56d2606582ed709da8318bc4e02e41f3e86d13e3720eb

Observation 0ac6e115-786f-461f-8104-5c35b1ef96cd · outbound

This paper cites Differential equations defined by Kre\u{\i}n-Feller operators on Riemannian manifolds.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Differential equations defined by Kre\u{\i}n-Feller operators on Riemannian manifolds

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-11T16:38:37.839464Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.766230Z digest=sha256:883be0f24cde91d021d3caf846c2cde72fd648aaf465bd789c1d6284aca288af

Observation 37117905-8ef3-479a-b129-9e7d70037512 · outbound

This paper cites Nodal sets and continuity of eigenfunctions of Kre\u{\i}-Feller operators.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Nodal sets and continuity of eigenfunctions of Kre\u{\i}-Feller operators

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-11T16:38:37.826601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.769929Z digest=sha256:fcd61f70ec1039bb383da9ceec9185e228416fbb36ae3576acfee45eca2017b8

Observation 7a6d1f3e-86fa-4402-bbf5-9c1234439c56 · outbound

This paper cites Petersen, Riemannian Geometry, Grad.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Petersen, Riemannian Geometry, Grad

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:38:38.252765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.773459Z digest=sha256:4a2aa4fccfb9897605c3d90a969695ff3bf0f506a9d5b60a80de2327329fc22f

Observation cbb52fe7-9f43-4a8a-bd2e-0d80bd188691 · outbound

This paper cites an unresolved cited work.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:38:38.243612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.776579Z digest=sha256:ce547a13773aa0a4fa6899dc1bd4ec70b225c1da1ed477ae0f849317ae3a7090

Observation 5e5cbcec-a04f-40e3-aa15-b30402ae5e30 · outbound

This paper cites Schoen and S.-T.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Schoen and S.-T

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:38:38.234237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.779778Z digest=sha256:67f98d50b72d07f6683e6b7b88d018e1449ba5a66836ea340b5c6e9ea7f4d93c

Observation c630ea42-6648-40db-9f27-7045b8cff869 · outbound

This paper cites an unresolved cited work.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:38:38.224469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.783992Z digest=sha256:82d35361faee46e153888e2f73b24386e2408cc2b606325f08c2659005ab7976

Observation 1b8759e4-1cc7-446c-b8c4-fbf5e5ad039c · outbound

This paper cites an unresolved cited work.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:38:38.215392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.787135Z digest=sha256:0ea48b7a813e9484c5f1113cfb6d8ff6ab0f19c2ace28709b23baa35d956c4d2

Observation c91dba2e-94f4-40c4-86b8-6080dcfdad93 · outbound

This paper cites an unresolved cited work.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:38:38.205869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.790223Z digest=sha256:140afcdefbadd5836ef681ecdc03b32c1812a451254e75a53a37f224cb9b4ad1

Observation 4063f212-44f9-434b-9fe1-5d242c6c8705 · outbound

This paper cites Weyl, The method of orthogonal projection in potential theory,Duke Math.

Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds Weyl, The method of orthogonal projection in potential theory,Duke Math

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:38:38.195578Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T16:38:37.793386Z digest=sha256:79233c2ba4fa1d92d3af524537aead0beaf742d5660abea5734d3cc28b5ce223

Pith citing papers

No inbound Pith citation observations are available.