The classical Hankel transform in the Kirillov model of the discrete series

DOI10.1080/10652469.2012.691097zbMath1274.22009arXiv1010.5184OpenAlexW1976883927MaRDI QIDQ2841931

Ehud Moshe Baruch

Publication date: 30 July 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5184

zbMATH Keywords

Hankel transformdiscrete series representationsKirillov model\(GL(2,\mathbb R)\)\(SL(2, \mathbb R)\)classical J-Bessel function

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (1)

A Vorono\xEF–Oppenheim summation formula for number fields

Cites Work

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• A note on the mean value of the zeta and \(L\)-functions. XII.
• Bessel identities in the Waldspurger correspondence over the real numbers
• Real Paley-Wiener theorems for the Hankel transform
• Asymptotic developments. III: Again on the fundamental theorem of asymptotic series
• XVI.—Fourier Integrals
• A Distributional Hankel Transformation

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