Cuspidal discrete series for projective hyperbolic spaces

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Standard

Cuspidal discrete series for projective hyperbolic spaces. / Andersen, Nils Byrial; Flensted-Jensen, Mogens.

I: Contemporary Mathematics, Bind 598, 2013, s. 59-75.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Andersen, NB & Flensted-Jensen, M 2013, 'Cuspidal discrete series for projective hyperbolic spaces', Contemporary Mathematics, bind 598, s. 59-75.

APA

Andersen, N. B., & Flensted-Jensen, M. (2013). Cuspidal discrete series for projective hyperbolic spaces. Contemporary Mathematics, 598, 59-75.

Vancouver

Andersen NB, Flensted-Jensen M. Cuspidal discrete series for projective hyperbolic spaces. Contemporary Mathematics. 2013;598:59-75.

Author

Andersen, Nils Byrial ; Flensted-Jensen, Mogens. / Cuspidal discrete series for projective hyperbolic spaces. I: Contemporary Mathematics. 2013 ; Bind 598. s. 59-75.

Bibtex

@article{6e23398adecb4a1b9b8a0a26239e2a8e,
title = "Cuspidal discrete series for projective hyperbolic spaces",
abstract = "Abstract. We have in [1] proposed a definition of cusp forms on semisimple symmetric spaces G/H, involving the notion of a Radon transform and a related Abel transform. For the real non-Riemannian hyperbolic spaces, we showed that there exists an infinite number of cuspidal discrete series, and at most finitely many non-cuspidal discrete series, including in particular the spherical discrete series. For the projective spaces, the spherical discrete series are the only non-cuspidal discrete series. Below, we extend these results to the other hyperbolic spaces, and we also study the question of when the Abel transform of a Schwartz function is again a Schwartz function.",
author = "Andersen, {Nils Byrial} and Mogens Flensted-Jensen",
year = "2013",
language = "English",
volume = "598",
pages = "59--75",
journal = "Contemporary Mathematics",
issn = "0271-4132",
publisher = "American Mathematical Society",

}

RIS

TY - JOUR

T1 - Cuspidal discrete series for projective hyperbolic spaces

AU - Andersen, Nils Byrial

AU - Flensted-Jensen, Mogens

PY - 2013

Y1 - 2013

N2 - Abstract. We have in [1] proposed a definition of cusp forms on semisimple symmetric spaces G/H, involving the notion of a Radon transform and a related Abel transform. For the real non-Riemannian hyperbolic spaces, we showed that there exists an infinite number of cuspidal discrete series, and at most finitely many non-cuspidal discrete series, including in particular the spherical discrete series. For the projective spaces, the spherical discrete series are the only non-cuspidal discrete series. Below, we extend these results to the other hyperbolic spaces, and we also study the question of when the Abel transform of a Schwartz function is again a Schwartz function.

AB - Abstract. We have in [1] proposed a definition of cusp forms on semisimple symmetric spaces G/H, involving the notion of a Radon transform and a related Abel transform. For the real non-Riemannian hyperbolic spaces, we showed that there exists an infinite number of cuspidal discrete series, and at most finitely many non-cuspidal discrete series, including in particular the spherical discrete series. For the projective spaces, the spherical discrete series are the only non-cuspidal discrete series. Below, we extend these results to the other hyperbolic spaces, and we also study the question of when the Abel transform of a Schwartz function is again a Schwartz function.

M3 - Journal article

VL - 598

SP - 59

EP - 75

JO - Contemporary Mathematics

JF - Contemporary Mathematics

SN - 0271-4132

ER -

ID: 95314149