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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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:34.991292Z digest=sha256:cb99a0b3443ca8143aecd10e0b64638abf0f196a8c31d73e333aa2d8d8a99b36

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:34.997202Z digest=sha256:2ce6af00ea1af07576301252bade12c790ca95ba4156cbc9ab12e391e46b66fe

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.002491Z digest=sha256:ca81701ea7c5080f35da67ef65f037b007734a8c8bfcaa4ba4a8984e87f126e3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.008271Z digest=sha256:c2d2185ffdcd9eb881366803e4681bca6ffb58e1e574a52eb8d2993590aee253

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.013647Z digest=sha256:ea21aef4361505eac024a9942d45be89279d465e035ee1a8134231117e476a78

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.019558Z digest=sha256:990209863e0659bb29817eb250b98d6f66cfc81b1b3711d3649ba7cb2ba2dc72

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.025706Z digest=sha256:f130c0657e3ca40713fe6e4222c91d98b2a50b0b44de4082fa1a3fd8283942c3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.030853Z digest=sha256:e752db0334127f90335a608da0493f0bb3b8e1dc8ed13d2d9667e3a1ca03b816

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.036010Z digest=sha256:492bb5f199eda2915752af45efec774fdfd96cba0c94462bf01df0c234fb03ae

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.040907Z digest=sha256:fc7e5d955a3c13379fd5bbf276528eea12d5e72eb0fe09244141a41969f41d59

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.045584Z digest=sha256:b13d67761a33e3d3b20b2c917b1efa153f7c5fadf78dc14a88ae1518be3644b1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.050245Z digest=sha256:1ce1f3c30b02445d54549f656aef95432255acd8ec00daac2be4368967523de5

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.054995Z digest=sha256:95de3a1bcd6d0cb6bb19beef70640580b453b74309d6fac5bc2285035ecbe820

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.060398Z digest=sha256:720f66a77fa8d843efe46a2c00a647eb8519362b10afbad421eadd12a8846717

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:46:35.065074Z digest=sha256:4a9db62a9e7023d3d3c6eb6042092c7e4ca9d13020d2b6068bcc6f83a6303fad

Pith citing papers

No inbound Pith citation observations are available.