Paper Citation Record · LEDGER

New eigenvalue estimates involving Bessel functions

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.02566.

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pith.paper-citation-record.v1
1908.02566 v2

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measured 43 of 43 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T14:59:11.299255Z

measured 43 of 43 standing notices

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Reference resolution

43 of 43 outbound references displayed

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Outbound references

Observation a3c64805-5478-4669-9c8d-f7669d07ddf8 · outbound

This paper cites Abramowitz and I.A.

New eigenvalue estimates involving Bessel functions Abramowitz and I.A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:12.053317Z

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Observation f69000f7-634b-4ada-92f8-6fd3caae77a8 · outbound

This paper cites Ann´ e, Principe de Dirichlet pour les formes diﬀ´ erentielles , Bull.

New eigenvalue estimates involving Bessel functions Ann´ e, Principe de Dirichlet pour les formes diﬀ´ erentielles , Bull

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:12.037474Z

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Observation c31f99a9-e8a3-4d44-9537-39ba407ad356 · outbound

This paper cites Antunes, P.

New eigenvalue estimates involving Bessel functions Antunes, P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:12.021398Z

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Observation 1a0ee579-39d6-4c18-b3e0-9075c004134a · outbound

This paper cites Antunes, P.

New eigenvalue estimates involving Bessel functions Antunes, P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:12.004741Z

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Observation 573905f0-79ad-4c0b-8301-5c5318edf357 · outbound

This paper cites Bandle, P.

New eigenvalue estimates involving Bessel functions Bandle, P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.989912Z

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Observation c4e8ae08-87bc-49e0-8202-d5668b3746a4 · outbound

This paper cites an unresolved cited work.

New eigenvalue estimates involving Bessel functions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:11.973902Z

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Observation 05f4f308-17a1-4329-a0f6-77fb1cd70fad · outbound

This paper cites Bourguignon, O.

New eigenvalue estimates involving Bessel functions Bourguignon, O

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.959155Z

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Observation 1aabad50-4597-4eaf-a36a-478b895a7700 · outbound

This paper cites Bowman, Introduction to Bessel functions , Dover Publications Inc., New York, 1958.

New eigenvalue estimates involving Bessel functions Bowman, Introduction to Bessel functions , Dover Publications Inc., New York, 1958

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.943149Z

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Observation 3802ee0f-fa40-497b-85af-65f6daf0c028 · outbound

This paper cites Chavel, Eigenvalues in Riemannian geometry , Academic Press, 1984.

New eigenvalue estimates involving Bessel functions Chavel, Eigenvalues in Riemannian geometry , Academic Press, 1984

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.927566Z

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Observation 7ebe54fb-8e99-43fb-b103-7ccad729d664 · outbound

This paper cites Chen, Eigenvalue estimates for the Dirac operator with generaliz ed APS boundary condition, J.

New eigenvalue estimates involving Bessel functions Chen, Eigenvalue estimates for the Dirac operator with generaliz ed APS boundary condition, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.910927Z

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Observation e83db58e-44fd-4f71-a915-2f1b533e87d2 · outbound

This paper cites Daners, A Faber-Krahn inequality for Robin problems in any space dim ension, Math.

New eigenvalue estimates involving Bessel functions Daners, A Faber-Krahn inequality for Robin problems in any space dim ension, Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.894750Z

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Observation db43ac4c-f38b-486e-bf61-0f1517bfc10d · outbound

This paper cites Escobar, The Yamabe problem on manifolds with boundary , J.

New eigenvalue estimates involving Bessel functions Escobar, The Yamabe problem on manifolds with boundary , J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.879254Z

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Observation c8d4c9f6-3d97-4534-b309-bb37515518f2 · outbound

This paper cites Faber, Beweis, daß unter allen homogenen Membranen von gleicher Fl ¨ ache und gleicher Spannung die kreisf¨ ormige den tiefsten Grundton gibt , M¨ unch.

New eigenvalue estimates involving Bessel functions Faber, Beweis, daß unter allen homogenen Membranen von gleicher Fl ¨ ache und gleicher Spannung die kreisf¨ ormige den tiefsten Grundton gibt , M¨ unch

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.863081Z

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Observation 36305112-df23-4449-beea-bdcd3c315720 · outbound

This paper cites Freitas, private communication.

New eigenvalue estimates involving Bessel functions Freitas, private communication

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.845572Z

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Observation 492171b5-9c1f-4b54-8c9e-c9ec127b4414 · outbound

This paper cites Friedrich, Der erste Eigenwert des Dirac-Operators einer kompakten Ri emannschen Man- nigfaltigkeit nichtnegativer Skalarkr¨ ummung, Math.

New eigenvalue estimates involving Bessel functions Friedrich, Der erste Eigenwert des Dirac-Operators einer kompakten Ri emannschen Man- nigfaltigkeit nichtnegativer Skalarkr¨ ummung, Math

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.829860Z

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Observation 948d7d2e-047f-44ae-a78b-3b4ba51b818c · outbound

This paper cites Friedrich, Dirac operators in Riemannian geometry , Graduate Studies in Mathematics 25, American Mathematical Society, 2000.

New eigenvalue estimates involving Bessel functions Friedrich, Dirac operators in Riemannian geometry , Graduate Studies in Mathematics 25, American Mathematical Society, 2000

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.813225Z

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Observation 8fb9d802-ce8e-4122-a1d8-c880717ee1e4 · outbound

This paper cites Gallot and D.

New eigenvalue estimates involving Bessel functions Gallot and D

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.793925Z

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Observation 3fed5d5a-4a98-4d83-a735-1bb62a6caadb · outbound

This paper cites Ginoux, The Dirac spectrum , Lecture Notes in Mathematics 1976, Springer, 2009.

New eigenvalue estimates involving Bessel functions Ginoux, The Dirac spectrum , Lecture Notes in Mathematics 1976, Springer, 2009

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.777221Z

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Observation a380f6a8-6787-456c-b765-7083b51a020f · outbound

This paper cites Gu´ erini and A.

New eigenvalue estimates involving Bessel functions Gu´ erini and A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.760373Z

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Observation b7a0c0b4-9e31-4716-9ee8-7d8e937dab16 · outbound

This paper cites Heintze and H.

New eigenvalue estimates involving Bessel functions Heintze and H

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.744315Z

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Observation 86403366-72ea-456e-9df9-64b92a17e427 · outbound

This paper cites Hijazi, A conformal lower bound for the smallest eigenvalue of the Di rac operator and Killing spinors , Comm.

New eigenvalue estimates involving Bessel functions Hijazi, A conformal lower bound for the smallest eigenvalue of the Di rac operator and Killing spinors , Comm

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.728805Z

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Observation 7e176074-20bf-4255-a94f-3116e8dbec36 · outbound

This paper cites Hijazi, S.

New eigenvalue estimates involving Bessel functions Hijazi, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.711676Z

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Observation 2a4ca8fe-ab13-490a-8c3a-dd03655116af · outbound

This paper cites Hijazi, S.

New eigenvalue estimates involving Bessel functions Hijazi, S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.694826Z

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Observation 9115f7bf-36a8-473f-b140-799cb7db1a7a · outbound

This paper cites Kasue, Ricci curvature, geodesics and some geometric properties o f Riemannian manifolds with boundary, J.

New eigenvalue estimates involving Bessel functions Kasue, Ricci curvature, geodesics and some geometric properties o f Riemannian manifolds with boundary, J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.677398Z

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Observation 2f3a4d2c-caa7-4893-8097-f7b18ab9e6c3 · outbound

This paper cites Krahn, ¨Uber eine von Rayleigh formulierte Minimaleigenschaft des Kreises, Math.

New eigenvalue estimates involving Bessel functions Krahn, ¨Uber eine von Rayleigh formulierte Minimaleigenschaft des Kreises, Math

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.659647Z

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Observation 4aa0fee5-92a9-4d3a-ace1-839f8051d144 · outbound

This paper cites Kutler and V.G.

New eigenvalue estimates involving Bessel functions Kutler and V.G

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.641615Z

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Observation 3fae5b81-2ff4-41b1-bb92-f711b40b7822 · outbound

This paper cites Landau, Ratios of Bessel functions and roots of αJ ν (x) + xJ ′ ν (x) = 0, J.

New eigenvalue estimates involving Bessel functions Landau, Ratios of Bessel functions and roots of αJ ν (x) + xJ ′ ν (x) = 0, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.625813Z

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Observation c6d363f3-f79e-46c2-8474-81250b54e295 · outbound

This paper cites Lawson and M.-L.

New eigenvalue estimates involving Bessel functions Lawson and M.-L

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.608437Z

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Observation 76fecdae-f4cf-4c19-bea9-953dfac63566 · outbound

This paper cites Li and S-T.

New eigenvalue estimates involving Bessel functions Li and S-T

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.591217Z

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Observation 55d1b9fb-c9e4-40fa-b9ce-06f74b980774 · outbound

This paper cites McKean, An upper bound for the spectrum of ∆ on a manifold of negative curvature , J.

New eigenvalue estimates involving Bessel functions McKean, An upper bound for the spectrum of ∆ on a manifold of negative curvature , J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.573904Z

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Observation ce5085d0-dad0-4fb7-9b64-8029c3b2b1d9 · outbound

This paper cites Michel, Eigenvalue and gap estimates of isometric immersions for th e Dirichlet-to-Neumann operator acting on p-forms, C.

New eigenvalue estimates involving Bessel functions Michel, Eigenvalue and gap estimates of isometric immersions for th e Dirichlet-to-Neumann operator acting on p-forms, C

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.557008Z

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Observation c114fbc4-8705-49b7-9dc5-5a0e57837eef · outbound

This paper cites Payne, Some isoperimetric inequalities for harmonic functions , SIAM J.

New eigenvalue estimates involving Bessel functions Payne, Some isoperimetric inequalities for harmonic functions , SIAM J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.539975Z

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Observation 1f6554c1-2f69-4041-b503-0307d1c07e84 · outbound

This paper cites Best possible.

New eigenvalue estimates involving Bessel functions Best possible

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.524275Z

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

Observation e119fbdc-8232-4a13-b0e4-e6a90dc1b709 · outbound

This paper cites Raulot, Optimal eigenvalues estimate for the Dirac operator on doma ins with boundary , Lett.

New eigenvalue estimates involving Bessel functions Raulot, Optimal eigenvalues estimate for the Dirac operator on doma ins with boundary , Lett

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.506685Z

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Observation 8d597df4-907b-4376-853e-8fb81b3e57cb · outbound

This paper cites Raulot, The Hijazi inequality of manifolds with boundary , J.

New eigenvalue estimates involving Bessel functions Raulot, The Hijazi inequality of manifolds with boundary , J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.489025Z

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Observation 7548a0b3-c538-45a5-aca2-98bf63498182 · outbound

This paper cites Raulot and A.

New eigenvalue estimates involving Bessel functions Raulot and A

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.467633Z

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Observation f1bb7124-abba-460b-a36e-20ec34669ad1 · outbound

This paper cites Raulot and A.

New eigenvalue estimates involving Bessel functions Raulot and A

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.451714Z

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Observation e8c46712-b2d4-4177-ad5e-8ce1bdec95a6 · outbound

This paper cites Ros, Compact hypersurfaces with constant higher order mean curva tures, Rev.

New eigenvalue estimates involving Bessel functions Ros, Compact hypersurfaces with constant higher order mean curva tures, Rev

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.433528Z

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

Observation 04aeae07-1dd2-497f-a3b9-8bf0a0735f2f · outbound

This paper cites Savo, A mean value lemma and applications , Bull.

New eigenvalue estimates involving Bessel functions Savo, A mean value lemma and applications , Bull

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.417400Z

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

Observation 29d86f1a-b9d3-4718-a85c-c93aa258ba9a · outbound

This paper cites Optimal eigenvalue estimates for the Robin Laplacian on Riemannian manifolds.

New eigenvalue estimates involving Bessel functions Optimal eigenvalue estimates for the Robin Laplacian on Riemannian manifolds

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:59:11.348857Z

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

Observation 2d911782-07fd-49cd-8576-efa0408227f3 · outbound

This paper cites Schwarz, Hodge decomposition – a method for solving boundary value pr oblems, Lecture Notes in Mathematics 1607, Springer, 1995.

New eigenvalue estimates involving Bessel functions Schwarz, Hodge decomposition – a method for solving boundary value pr oblems, Lecture Notes in Mathematics 1607, Springer, 1995

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.399800Z

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Observation 313c9c23-9b16-45be-8a35-df6a6975e50b · outbound

This paper cites Taylor, Partial diﬀerential equations I.

New eigenvalue estimates involving Bessel functions Taylor, Partial diﬀerential equations I

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.383752Z

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Observation 205b6420-3b9e-4d95-8903-6423a3a8b4cd · outbound

This paper cites Watson, A treatise on the theory of Bessel functions , 2nd edn.

New eigenvalue estimates involving Bessel functions Watson, A treatise on the theory of Bessel functions , 2nd edn

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:11.366767Z

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