Paper Citation Record · LEDGER

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation

As of 16 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:1908.07889.

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

pith.paper-citation-record.v1
1908.07889 v1

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T12:20:09.750632Z

measured 42 of 42 standing notices

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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.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

verified exact1
verified fuzzy37
unresolved4
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External citation measurements

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Outbound references

Observation 77ae2a95-41d5-4f28-87ea-666fd2d9baab · outbound

This paper cites Adams and L.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Adams and L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.948767Z

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.

Observation e85fd250-c912-4de8-8698-6a81009b28fe · outbound

This paper cites Ambrosio, Fine properties of sets of ﬁnite perimeter i n doubling metric measure spaces, Set-V alued and V ariational Analysis 10 (2002), 111-128.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Ambrosio, Fine properties of sets of ﬁnite perimeter i n doubling metric measure spaces, Set-V alued and V ariational Analysis 10 (2002), 111-128

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.925374Z

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.

Observation 815187b7-71cc-46ea-94e8-a0a766ef3191 · outbound

This paper cites Ambrosio, N.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Ambrosio, N

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.909609Z

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.

Observation f50fc6af-3365-4f81-a4f0-1cb55ce10434 · outbound

This paper cites Baldi and F.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Baldi and F

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.892751Z

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.

Observation 460226e1-a047-48ed-bd14-9f6ecc414e9e · outbound

This paper cites Gonzalez and I.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Gonzalez and I

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.855788Z

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.

Observation d6d46b07-e1a0-4b36-862b-503f3db291ca · outbound

This paper cites Massari, V ariational mean curvatures i n abstract measure spaces, Calc.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Massari, V ariational mean curvatures i n abstract measure spaces, Calc

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.825970Z

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.

Observation dd01f45f-821b-4e51-afdd-d6da00e7650f · outbound

This paper cites Bongioanni and J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Bongioanni and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.808111Z

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.

Observation 7f8319ea-1b51-443c-89d5-d0720a3b328d · outbound

This paper cites Bramanti, M.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Bramanti, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.775552Z

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.

Observation 05af1f27-3bf5-4ac7-a8a7-06d4c7c83260 · outbound

This paper cites Carbonaro and G.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Carbonaro and G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.737547Z

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.

Observation d912eccf-0b6e-443b-bfa8-c3b6c158e32b · outbound

This paper cites Costea, Sobolev capacity and Hausdor ﬀmeasures in metric measure spaces, Ann.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Costea, Sobolev capacity and Hausdor ﬀmeasures in metric measure spaces, Ann

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.700636Z

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.

Observation 360549cf-3cdb-43df-8161-4b7b700020d6 · outbound

This paper cites an unresolved cited work.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:20:10.681659Z

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.

Observation c14214a6-9d67-4c7e-95dc-61cdafd73a26 · outbound

This paper cites De Giorgi, Su una teoria generate della misura ( r − 1)-dimensionale in uno spazio ad r dimensioni, Ann.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation De Giorgi, Su una teoria generate della misura ( r − 1)-dimensionale in uno spazio ad r dimensioni, Ann

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.657695Z

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.

Observation 491ba8ad-a2e6-457a-9535-c73c32d5c81f · outbound

This paper cites De Giorgi, Selected Papers, (L.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation De Giorgi, Selected Papers, (L

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.627114Z

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.

Observation 24e3d9b2-2558-4f63-8b50-3bab6a52a518 · outbound

This paper cites De Giorgi, F.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation De Giorgi, F

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.599280Z

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.

Observation 7589a078-9a81-497b-94d4-ac8913c0aee0 · outbound

This paper cites Giusti, Minimal surfaces and functions of bounded va riation, Birkh¨ aser, Boston, Mass., 1984.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Giusti, Minimal surfaces and functions of bounded va riation, Birkh¨ aser, Boston, Mass., 1984

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.584454Z

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.

Observation 47d4e7d0-7e39-4375-ae8b-b149928a5341 · outbound

This paper cites Harboure, L.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Harboure, L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.563113Z

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.

Observation 438e4f81-881b-4a82-8594-20bde7177bc6 · outbound

This paper cites Hakkarainen and J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Hakkarainen and J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.526905Z

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.

Observation ab5c5369-573e-4461-8969-775599dd7f11 · outbound

This paper cites Hakkarainen and N.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Hakkarainen and N

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.501282Z

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.

Observation 07e350f0-1a1e-4631-93d3-3aa60c20fb46 · outbound

This paper cites Huang, P.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Huang, P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.479629Z

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.

Observation 1219f1b1-fe29-401e-88be-bfe326b56d6c · outbound

This paper cites Jiang, J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Jiang, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.450056Z

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.

Observation d5b2ee45-7502-4c7c-88a2-bfdc4621aaee · outbound

This paper cites Kurata, An estimate on the heat kernel of magnetic Sch r¨ odinger operators and uniformly elliptic operators with non-negative potentials, J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Kurata, An estimate on the heat kernel of magnetic Sch r¨ odinger operators and uniformly elliptic operators with non-negative potentials, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.429054Z

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.

Observation 952607ff-a0a5-4562-a2e5-23a4909fa242 · outbound

This paper cites an unresolved cited work.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:20:10.402106Z

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.

Observation cf416ed7-7ed1-4a8f-a81b-54a93ce9ca63 · outbound

This paper cites Lahti and N.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Lahti and N

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.372740Z

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.

Observation f7cc4358-674f-42c1-b788-cb9a9f45feb0 · outbound

This paper cites Lahti, The variational 1-capacity and BV functions w ith zero boundary values on doubling metric spaces, Adv.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Lahti, The variational 1-capacity and BV functions w ith zero boundary values on doubling metric spaces, Adv

Reference 24

Resolution: verified exact; doi, observed 2026-08-14T12:20:09.804430Z

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.

Observation 0e40bcfc-c475-418f-a75a-48e6044f00bc · outbound

This paper cites an unresolved cited work.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:20:10.335946Z

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.

Observation 1f4aa6c3-742a-4ba6-9bd8-9cf520ba60a4 · outbound

This paper cites Liu, BV capacity on the generalized Grushin plane, J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Liu, BV capacity on the generalized Grushin plane, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.307247Z

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.

Observation 355d4493-5571-42cb-8d62-972f2104f14c · outbound

This paper cites Maz’ya, Conductor and capacitary inequalities for f unctions on topological spaces and their applications to Sobolev-type imbeddings, J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Maz’ya, Conductor and capacitary inequalities for f unctions on topological spaces and their applications to Sobolev-type imbeddings, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.281796Z

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.

Observation d86f921a-a1ff-464e-a68b-debf85e4ebde · outbound

This paper cites Maz’ya, Sobolev Spaces with Applications to Ellipti c Partial Di ﬀerential Equations, 2nd, revised and augmented edn.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Maz’ya, Sobolev Spaces with Applications to Ellipti c Partial Di ﬀerential Equations, 2nd, revised and augmented edn

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.243130Z

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.

Observation eb56ff88-2aa4-457d-bf4d-baa52d45429d · outbound

This paper cites an unresolved cited work.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:20:10.192611Z

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.

Observation 50d9eb35-108f-4b19-ad94-e3e8e1848f2f · outbound

This paper cites Miranda, Jr., Functions of bounded variation on “goo d” metric spaces, J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Miranda, Jr., Functions of bounded variation on “goo d” metric spaces, J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.161119Z

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.

Observation 817bcf24-167f-4ea9-9e2d-3aaddcb0e0ea · outbound

This paper cites Molahajloo and M.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Molahajloo and M

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.129876Z

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.

Observation 2859adf5-cb50-4068-97e2-12e620a56cc5 · outbound

This paper cites Sjogren and J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Sjogren and J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.100211Z

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.

Observation b8747563-e33f-4e37-b78f-96fe687d06b2 · outbound

This paper cites Stempak and J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Stempak and J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.068636Z

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.

Observation e3ba1651-5b0d-415c-ad7b-6ca8b37f7188 · outbound

This paper cites Stinga and J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Stinga and J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:10.039125Z

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.

Observation fe3db16e-4b94-4b43-90ff-12abea716c33 · outbound

This paper cites Thangavelu, Riesz transforms and wave equation for t he Hermite operator, Comm.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Thangavelu, Riesz transforms and wave equation for t he Hermite operator, Comm

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:09.993798Z

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.

Observation d777ec25-2f9a-4b71-8614-a7da321e274b · outbound

This paper cites Thangavelu, Lectures on Hermite and Laguerre Expans ions, Mathematical Notes, V ol.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Thangavelu, Lectures on Hermite and Laguerre Expans ions, Mathematical Notes, V ol

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:09.968251Z

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.

Observation 70b2ba6f-cf80-4125-9db8-f299a240cdb9 · outbound

This paper cites Wang, The a ﬃne Sobolev-Zhang inequality on BV(Rn), Adv.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Wang, The a ﬃne Sobolev-Zhang inequality on BV(Rn), Adv

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:09.941619Z

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.

Observation e794acb1-4368-4e64-b00f-e16c015bb005 · outbound

This paper cites Wong, The heat equation for Hermite operator on the He isenberg group, Hokkaido Math.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Wong, The heat equation for Hermite operator on the He isenberg group, Hokkaido Math

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:09.919144Z

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.

Observation c2ad713f-0c01-4719-95d1-c0b2f67b7236 · outbound

This paper cites Xiao, The sharp Sobolev and isoperimetric inequalit ies split twice, Adv.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Xiao, The sharp Sobolev and isoperimetric inequalit ies split twice, Adv

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:09.900091Z

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.

Observation d3abbefa-e547-4c40-8e33-c28a896c3b33 · outbound

This paper cites Xiao, The p-Aﬃne Capacity, J.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Xiao, The p-Aﬃne Capacity, J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:09.881597Z

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.

Observation 70c8f967-1f5d-4311-b743-fa8742a036ff · outbound

This paper cites Xiao, Gaussian BV Capacity, Adv.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Xiao, Gaussian BV Capacity, Adv

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:09.860232Z

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.

Observation 62f2295e-2a89-422c-a741-ebbbc38cb3dc · outbound

This paper cites Ziemer, Weakly Diﬀerentiable Functions, GTM 120, Springer-V erlag, 1989.

Capacity & Perimeter from $\alpha$-Hermite Bounded Variation Ziemer, Weakly Diﬀerentiable Functions, GTM 120, Springer-V erlag, 1989

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:20:09.828287Z

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.

Pith citing papers

No inbound Pith citation observations are available.