Some remarks suggesting an interesting theory of harmonic functions on SU(2n+1)/Sp(n) and SO(2n+1)/U(n)

DOI10.1007/BF01222728zbMath0404.43006MaRDI QIDQ1256683

Manfred Krämer

Publication date: 1979

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Irreducible RepresentationsHarmonic FunctionsFrobenius Reciprodicity

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Analysis on other specific Lie groups (43A80)

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The model wonderful variety., Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups, Lie groups, Higher-dimensional geometries from matrix brane constructions, Models of representations of classical groups and their hidden symmetries

Cites Work

• A Set of Harmonic Functions for the Group SU(3)
• Representations of compact groups realized by spherical functions on symmetric spaces
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