Paper Citation Record · LEDGER

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography

As of 15 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2607.17124.

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pith.paper-citation-record.v1
2607.17124 v1

Coverage vector

measured 52 of 52 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T19:08:05.496060Z

measured 52 of 52 standing notices

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Outbound references

Observation 826625ff-a967-4c04-8b42-9d4588c33fe4 · outbound

This paper cites an unresolved cited work.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Unresolved cited work

Reference 1

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Observation d0d1189a-bdc3-4596-b388-484d16d075dc · outbound

This paper cites The resulting hierarchy of representation spaces is summarized schematically in Fig.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography The resulting hierarchy of representation spaces is summarized schematically in Fig

Reference 2

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Observation 4d799043-1ba0-4724-ab54-3e13e4f75eae · outbound

This paper cites tachyonic.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography tachyonic

Reference 3

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Observation 8df6a837-f263-4790-bd24-bea3bddd094c · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Unresolved cited work

Reference 4

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Observation 1f7bbb68-2796-41e8-ae84-ca2f5ef13372 · outbound

This paper cites Whenλ >−1/2, the Gegenbauer polyno- mials form an orthogonal family on the interval [−1,1].

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Whenλ >−1/2, the Gegenbauer polyno- mials form an orthogonal family on the interval [−1,1]

Reference 5

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Observation 5e456893-d78b-43fe-ab5b-a12503631f7b · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Unresolved cited work

Reference 6

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Observation ccdb8cf6-7ce1-4712-9938-8c6a39514ddb · outbound

This paper cites (34),C l+1 L−l denotes the Gegenbauer polynomial, andY lm denotes the ordinary spherical harmonic Ylm(θ, ψ) = (2l+ 1)(l−m)! 4π(l+m)! 1 2 P m l (cosθ)e imψ.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography (34),C l+1 L−l denotes the Gegenbauer polynomial, andY lm denotes the ordinary spherical harmonic Ylm(θ, ψ) = (2l+ 1)(l−m)! 4π(l+m)! 1 2 P m l (cosθ)e imψ

Reference 7

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Observation 71ab84f6-e442-4ef6-9910-4adb0194dfc7 · outbound

This paper cites (41) may be divided by cos 2 ρ, leading to d2λ dρ2 + 2 tanρ dλ dρ + L(L+ 2)−(p−1)(p+ 2) sec 2 ρ λ= 0,(B1) where we recall thatL∈N 0, whilep= 1,2,· · ·is fixed.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography (41) may be divided by cos 2 ρ, leading to d2λ dρ2 + 2 tanρ dλ dρ + L(L+ 2)−(p−1)(p+ 2) sec 2 ρ λ= 0,(B1) where we recall thatL∈N 0, whilep= 1,2,· · ·is fixed

Reference 8

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Observation 3af46a80-94a6-4b6c-9bdf-07f5f130ec2f · outbound

This paper cites To this end, suppose that Aλ (1) L (ρ) +Bλ (2) L (ρ) = 0,(B22) for allρ∈ − π 2 , π 2 , whereAandBareρ-independent coefficients.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography To this end, suppose that Aλ (1) L (ρ) +Bλ (2) L (ρ) = 0,(B22) for allρ∈ − π 2 , π 2 , whereAandBareρ-independent coefficients

Reference 9

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Observation a8a3c991-ad0f-4dfb-b818-4097f8b3e38d · outbound

This paper cites (41) has real-valued coefficients, the com- plex conjugates λ(1) L (ρ) and λ(2) L (ρ) are themselves so- lutions wheneverλ (1) L (ρ) andλ (2) L (ρ) are.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography (41) has real-valued coefficients, the com- plex conjugates λ(1) L (ρ) and λ(2) L (ρ) are themselves so- lutions wheneverλ (1) L (ρ) andλ (2) L (ρ) are

Reference 10

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Observation f687e662-ec6a-4b48-bca8-60dbfab1c110 · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Unresolved cited work

Reference 11

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Observation 19ff4bdb-1f04-4b5a-8912-66c52b0e8b79 · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Unresolved cited work

Reference 12

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Observation 9f2fd636-1a32-4419-a803-8fffe3f08917 · outbound

This paper cites Derivation of Eqs.(55),(56),(60), and(61) Proceeding as in the derivation of Eq.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Derivation of Eqs.(55),(56),(60), and(61) Proceeding as in the derivation of Eq

Reference 13

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Observation 26916e51-13b7-4a44-b65b-2702d673a8fa · outbound

This paper cites Bulk and Boundary Realizations of the Non-Compact Generators In the global conformal coordinatesX=X(ρ, u) in- troduced in Eq.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Bulk and Boundary Realizations of the Non-Compact Generators In the global conformal coordinatesX=X(ρ, u) in- troduced in Eq

Reference 14

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Observation 9323e3ab-8352-4308-a570-06a06920e953 · outbound

This paper cites (D2) and (D3), respectively.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography (D2) and (D3), respectively

Reference 15

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Observation 35fb15a7-5a26-4278-b0db-1c7aa5cca711 · outbound

This paper cites Wigner,On unitary representations of the inhomo- geneous Lorentz group, Ann.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Wigner,On unitary representations of the inhomo- geneous Lorentz group, Ann

Reference 16

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Observation 30b5103a-c638-4fab-afdb-96c01b865c02 · outbound

This paper cites Newton, E.P.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Newton, E.P

Reference 17

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Observation d7a93e6c-c14e-4a5a-99c0-8748ef45b245 · outbound

This paper cites Enayati, J.-P.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Enayati, J.-P

Reference 18

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Observation f5499f30-1d2c-47cf-a909-335aab031186 · outbound

This paper cites Massless Representations in Conformal Space and Their de Sitter Restrictions.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Massless Representations in Conformal Space and Their de Sitter Restrictions

Reference 19

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Observation 62ace633-7bc1-4771-b4a9-3c1c90c1bad5 · outbound

This paper cites Dixmier,Repr´ esentations int´ egrables du groupe de De Sitter, Bull.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Dixmier,Repr´ esentations int´ egrables du groupe de De Sitter, Bull

Reference 20

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Observation c5bc4132-d9ec-4c63-add1-960f1c43fdfc · outbound

This paper cites Thomas,On unitary representations of the group of de Sitter space, Ann.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Thomas,On unitary representations of the group of de Sitter space, Ann

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Observation 248378e0-a79b-45c6-a39f-e5bbbd6d16e2 · outbound

This paper cites Newton,A note on the representations of the de Sitter group, Ann.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Newton,A note on the representations of the de Sitter group, Ann

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Observation 1f7a3392-a31e-4fe3-b4ca-b43c53135736 · outbound

This paper cites Takahashi,Sur les repr´ esentations unitaires des groupes de Lorentz g´ en´ eralis´ es, Bull.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Takahashi,Sur les repr´ esentations unitaires des groupes de Lorentz g´ en´ eralis´ es, Bull

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Observation 289e53cf-2b74-4bcc-ac27-b4463949ddcf · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Martin,Sur certaines repr´ esentations locales de l’alg` ebre de Lie so(4,1)et de l’alg` ebre de Lie du groupe de Poincar´ e, Annales de l‘IHP Physique th´ eorique, Vol

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Observation 3523dab3-d03a-4495-be8b-1725df4b1667 · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Lipsman,Group representations, Springer-Verlag (1974)

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Observation 987e3bdf-a6c9-46d9-827f-e46f0e5f4409 · outbound

This paper cites Quantum Gravity In De Sitter Space.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Quantum Gravity In De Sitter Space

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Resolution: unresolved; no resolver link, observed 2026-08-01T19:08:01.153693Z

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Observation baadb748-bb7c-4e94-98eb-eba9cc49bbbc · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Strominger,The dS/CFT correspondence, J

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Observation 4b457496-187c-4aad-8f3c-707fba15b894 · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Unresolved cited work

Reference 28

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Observation dd0a22a5-a306-4028-8421-0520fbf154f2 · outbound

This paper cites Gazeau, M.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Gazeau, M

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Observation c9dce4ac-a75d-4c2f-b0bc-9df9f3423507 · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Sun,A note on the representations of SO(1, d+ 1), Rev

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Observation c4969223-d163-4e80-94e2-7cd73eb336a6 · outbound

This paper cites Hogervorst, J.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Hogervorst, J

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Observation 2e213894-0163-4847-a707-76fba7df0cf6 · outbound

This paper cites Penedones, K.S.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Penedones, K.S

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Observation da9f189c-af91-4684-8086-d27e429f3ffd · outbound

This paper cites Mickelsson and J.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Mickelsson and J

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Observation 79080982-6be9-42e8-bd36-886fe583951b · outbound

This paper cites Garidi, E.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Garidi, E

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Observation 05cca3b4-8a36-404e-ae99-c4e8b038a74b · outbound

This paper cites Barut and A.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Barut and A

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Observation f6273aa5-5d2d-46b6-80d3-60a21d23d8e6 · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Mack and I

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Observation 7d70ae95-6ff8-447f-ab5c-c4692bd4cb86 · outbound

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Mack,All unitary ray representations of the confor- mal groupSU(2,2)with positive energy, Commun

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Observation 32a69386-438b-4890-82ec-8bf1389a7d70 · outbound

This paper cites Pejhan, M.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Pejhan, M

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Observation f8bdecfe-77e6-4d5d-85ea-317c6f78e01a · outbound

This paper cites Birrell and P.C.W.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Birrell and P.C.W

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Observation e1ada3e9-e617-4cb0-bf4e-2f305d5c38b5 · outbound

This paper cites Avery, J.S.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Avery, J.S

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Observation 529e14f1-c016-4f46-824c-8ef5dc081399 · outbound

This paper cites Gazeau,P.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Gazeau,P

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Observation c1319971-5df4-4baa-a397-ad5cb4405fec · outbound

This paper cites Gazeau, J.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Gazeau, J

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Observation 2c3180c0-60c6-4cec-bfc8-6db74a64bf71 · outbound

This paper cites Gazeau and H.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Gazeau and H

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Pierotti,Some remarks on the Gupta-Bleuler triplet, J

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Observation f2ebf0d5-2695-41a2-82bc-5f93c7d2ba2e · outbound

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Observation fd585592-5235-4f9b-8ded-e09b9668fd90 · outbound

This paper cites Gazeau and H.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Gazeau and H

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Observation 335bfb6b-f3b0-49df-bb9c-c8310aef10c1 · outbound

This paper cites Olver, D.W.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Olver, D.W

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Observation f1ef0913-afc7-466a-a4ec-f17c7bc8d1f6 · outbound

This paper cites Magnus, F.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Magnus, F

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The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Hua,Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains, American Mathematical Society, Providence, R.I., (1963)

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Observation e57ae865-47ae-4d6c-8d85-8cb9cd80a489 · outbound

This paper cites Gradshteyn, I.M.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Gradshteyn, I.M

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Observation b9729f6e-110c-4127-8afc-c21ddb7c0ca8 · outbound

This paper cites Boyce, R.C.

The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography Boyce, R.C

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