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Admissible Vectors and Hilbert Algebras

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Admissible vectors for unitary representations of locally compact groups are the basis for group frame and covariant coherent state expansions. Main tools in the study of admissible vectors have been… Click to show full abstract

Admissible vectors for unitary representations of locally compact groups are the basis for group frame and covariant coherent state expansions. Main tools in the study of admissible vectors have been Plancherel and central integral decompositions, of applicability only under certain separability and semifiniteness restrictions. In this work, we present a study of admissible vectors in terms of convolution Hilbert algebras valid for arbitrary unitary representations of general locally compact groups.

Keywords: hilbert algebras; admissible vectors; vectors hilbert

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2018

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