Wave packets for the relative discrete series. I: The holomorphic case

DOI10.1016/0022-1236(87)90057-7zbMath0625.22010OpenAlexW2029499148MaRDI QIDQ579439

Joseph A. Wolf, Rebecca A. Herb

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90057-7

zbMATH Keywords

wave packetsSchwartz functionscusp formsmatrix coefficientssimple Lie groupsconnected semisimple Lie groupinfinite centerrelative discrete series

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Analysis on other specific Lie groups (43A80)

Related Items

Quantization of Kähler manifolds. IV, Weakly symmetric spaces and bounded symmetric domains, Homogeneous Hermitian holomorphic vector bundles and the cowen-Douglas class over bounded symmetric domains, The Schwartz space of a general semisimple Lie group. I: Wave packets of Eisenstein integrals, Homogeneous Hermitian holomorphic vector bundles and the Cowen-Douglas class over bounded symmetric domains, Wave packets for the relative discrete series. II: The nonholomorphic case, Unnamed Item

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• Analytic continuation of the irreducible unitary representations of the universal covering group of 𝑆𝐿(2,𝑅)