Inversion of an integral transform and ladder representations of U(1,q)

Details Inversion of an integral transform and ladder representations of U(1,q) Inversion of an integral transform and ladder representations of U(1,q)

1995-06-12

arxiv.org/abs/math/9506217v1

Mathematics

Representation Theory

Scientific paper

An integral transform for G=U(1,q) is studied. The transform maps the positive spin ladder representations of G on a Bargmann-Segal-Fock space F_n^1,q into a space of polynomial-valued functions on the bounded realization B^q of G/K. An inversion is given for the transform and unitary structures are given for the geometric realization of the positive spin ladder representations over G/K.

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