Special functions associated with \(K\)-types of degenerate principal series of \(\mathrm{Sp}(n,\mathbb{C})\)

DOI10.1215/21562261-2019-0065zbMath1456.22005arXiv1806.11286OpenAlexW4385150150MaRDI QIDQ2216707

Grégory Mendousse

Publication date: 16 December 2020

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.11286

zbMATH Keywords

special functionsprincipal series representationsnonstandard modelK-typesreductive Lie groups

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Semisimple Lie groups and their representations (22E46) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Spherical harmonics (33C55)

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