Discrete series for an affine symmetric space

zbMath0474.43013MaRDI QIDQ1159352

Shuichi Matsumoto

Publication date: 1981

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

discrete seriesaffine symmetric spacePlancherel theoremnoncompact semisimple Lie group

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) Complex spaces (32C15)

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Holomorphic discrete series for hyperboloids of Hermitian type, A survey on paracomplex geometry, The holomorphic discrete series for affine symmetric spaces. I, Separation of series for hyperboloids, Symmetric spaces of Hermitian type