Let N be the nilpotent Lie group identified to the Silov boundary of a symmetric generalized half-plane D and L a compact group acting on N by automorphisms, aris ng from the realization of D as hermitian symmetric space. Is then (L⋊ N, L) a Gelfand pair? We study the problem and resolve it in the case of classical families

Carcano, G. (1991). Algebras of inveriant functions on the silov boundary of generalized half-planes. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 111(3), 743-753 [10.1090/S0002-9939-1991-1039253-2].

Algebras of inveriant functions on the silov boundary of generalized half-planes

CARCANO, GIOVANNA
1991

Abstract

Let N be the nilpotent Lie group identified to the Silov boundary of a symmetric generalized half-plane D and L a compact group acting on N by automorphisms, aris ng from the realization of D as hermitian symmetric space. Is then (L⋊ N, L) a Gelfand pair? We study the problem and resolve it in the case of classical families
No
Articolo in rivista - Articolo scientifico
Scientifica
Generalized half-plane, siegel domain, invariant functions, Gelfand pair
English
Carcano, G. (1991). Algebras of inveriant functions on the silov boundary of generalized half-planes. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 111(3), 743-753 [10.1090/S0002-9939-1991-1039253-2].
Carcano, G
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/11222
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