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Paper Citation Record · LEDGER

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.06786.

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

pith.paper-citation-record.v1
1908.06786 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:46:35.065074Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 33c55e33-5263-49c6-8ae0-9196db98eee9 · outbound

This paper cites Baaske and H.-J.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Baaske and H.-J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.320030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:34.991292Z digest=sha256:bd729dd81e9e0b71766cc23cc2529620797888344e10399b765f418d19deab72

Observation 1367a104-ea9c-43a1-a3a1-f6ccedb15dd4 · outbound

This paper cites Baaske and H.-J.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Baaske and H.-J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.305722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:34.997202Z digest=sha256:3d90c277ea3e267f1fb54192aa6f4f92338a08f04de95a9858dfcba9f1be74ac

Observation 2d90debd-91b4-419a-9e68-72f4966c9893 · outbound

This paper cites Baaske and H.-J.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Baaske and H.-J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.290686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.002491Z digest=sha256:25c9ba6ccfe41712988ecd624f47c9cfde9d9ce569ad404bc2108c402d23e4b2

Observation f11f9c59-46a0-4429-9484-904268742dbb · outbound

This paper cites Bochner, Diffusion equation and stochastic processes, Proc.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Bochner, Diffusion equation and stochastic processes, Proc

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.276220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.008271Z digest=sha256:9c808a0d62ca89ad7a2622cb18fa2d2b7675099acf885148ce7c7d7cc4a12a3d

Observation 0c268188-19fa-4754-91a4-ae0dd7d7abd7 · outbound

This paper cites Bochner, Harmonic Analysis and The Theory of Probability (Univ ersity of California Press, Berkeley (CA) 1955).

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Bochner, Harmonic Analysis and The Theory of Probability (Univ ersity of California Press, Berkeley (CA) 1955)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.261618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.013647Z digest=sha256:9b44a4d1577e6f079b8dd4c72115d026d6cdd7762afbd291e9d2e0b198f586f6

Observation 98fff7d1-70c8-4da9-ac88-297c47dde1ae · outbound

This paper cites Deng, R.L.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Deng, R.L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.246194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.019558Z digest=sha256:e5e6fa7b818c8f727c1261f816bcc7cd4324ba3843a323607d8d4f444bd09ff2

Observation 7bc55f3d-db11-4922-94f1-15e941cba8e1 · outbound

This paper cites Jacob, Pseudo Differential Operators and Markov Processe s, vol.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Jacob, Pseudo Differential Operators and Markov Processe s, vol

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.230423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.025706Z digest=sha256:93650794dc137e2e7cec2bee58fc5a5008147f8b3af4fa1756f5b6fd2ed15a58

Observation 348cf5a5-7be5-4211-b301-bd88068d3e6a · outbound

This paper cites Sato, L´ evy Processes and Infinitely Divisible Distributions, 2n d.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Sato, L´ evy Processes and Infinitely Divisible Distributions, 2n d

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.214050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.030853Z digest=sha256:bdcc514a16d2ca55ecfb11335dabbe57f46977f645827989e8659ee80ef14632

Observation a6887856-d274-401b-ad5e-bf78181cad2d · outbound

This paper cites Schilling, An introduction to L´ evy and Feller processes, in: Fr om L´ evy-Type Processes to Parabolic SPDEs, edited by D.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Schilling, An introduction to L´ evy and Feller processes, in: Fr om L´ evy-Type Processes to Parabolic SPDEs, edited by D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.199739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.036010Z digest=sha256:64c27a5b2936b5dc131f18957532307d20a3ec6441872c8ad3dde337567f3d7f

Observation 7308aa68-456a-44b1-afc2-2767f973779e · outbound

This paper cites Schilling, Measures, Integrals and Martingales, 2nd.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Schilling, Measures, Integrals and Martingales, 2nd

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.183398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.040907Z digest=sha256:dc7c3b6de1e4da7c0408e260605c8b3c75e6f7ba26990cd9b27eff823f265e0f

Observation 6424dad8-b9da-4af2-b72f-0f140448d700 · outbound

This paper cites Schilling, R.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Schilling, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.166155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.045584Z digest=sha256:c702e4b3143f88e9d57dccd14f1a3f875b6d2efe1a838d64981e3db75e580dd5

Observation 2c95b2c4-f48e-4248-ade0-960e4e374598 · outbound

This paper cites an unresolved cited work.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:46:35.149623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.050245Z digest=sha256:d61c80c3361209d24048e12464f41c0a1aee0929e73b33c83a163c68589b4f6d

Observation 1b013b98-f031-4719-a06a-678b8fc4fd89 · outbound

This paper cites Triebel, Theory of Function Spaces (Birkh¨ auser, Monographs in Mathematics vol.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Triebel, Theory of Function Spaces (Birkh¨ auser, Monographs in Mathematics vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.134893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.054995Z digest=sha256:5e6f801f8558ab70e0646622f2d1575b319b346ae60ad4c04cb782b920eb0ffe

Observation 3ef67983-235d-4242-9196-6657fb7e5c1b · outbound

This paper cites Triebel, Theory of Function Spaces II (Birkh¨ auser, Monog raphs in Mathematics vol.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Triebel, Theory of Function Spaces II (Birkh¨ auser, Monog raphs in Mathematics vol

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.119306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.060398Z digest=sha256:e6b566abc55c0beab3c38d6bb74de58d93c61eb81d87cea85a3eadeb92c8fead

Observation e35eaa78-cdbc-46e9-bce8-bc8ff5a3f9cc · outbound

This paper cites Triebel, Theory of Function Spaces IV (Birkh¨ auser, Monog raphs in Mathematics vol.

Bochner's Subordionation and Fractional Caloric Smoothing in Besov and Triebel--Lizorkin Spaces Triebel, Theory of Function Spaces IV (Birkh¨ auser, Monog raphs in Mathematics vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:46:35.102061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:46:35.065074Z digest=sha256:e966b11a49167e5fe1260441e149a65ac242ac154e2559421c376a69534fc082

Pith citing papers

No inbound Pith citation observations are available.