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Canonical and bounding representations

Annotation

A general conception of canonical representations is presented. It is illustrated by three examples: the Lobachevsky plane with an action of the group SU(1,1), the sphere in Rn with an action of the generalized Lorentz group G=SO0 (1,n-1) generated by the overgroup SO0 (1,n), the same sphere with an action of the same generalized Lorentz group but with the overgroup SL(n,R).

Keywords

canonical representations, boundary representations, symmetric spaces, pseudo-orthogonal group, Berezin transform

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UDC

517.98

Pages

1367-1425

Received

25.04.2009

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