Distribution vectors on \(SU (p, q)/ SO (p, q)\)

DOI10.1016/J.GEOMPHYS.2023.104782OpenAlexW4321202255MaRDI QIDQ2696129

Xingya Fan

Publication date: 6 April 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2023.104782

zbMATH Keywords

holomorphic discrete seriessemisimple symmetric spacecontragredient representationdistribution vectors

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85)

Cites Work

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• The holomorphic discrete series for affine symmetric spaces. I
• Eigenspaces of invariant differential operators on an affine symmetric space
• Discrete series for semisimple symmetric spaces
• Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space
• Toeplitz operators and index theory in several complex variables
• Degenerate principal series representations and their holomorphic extensions
• The Holomorphic Discrete Series of an Affine Symmetric Space and Representations with Reproducing Kernels
• Analytic and Entire Vectors for Representations of Lie Groups
• Theory of Reproducing Kernels

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