Induced Representations of Locally Compact Groups (Cambridge by Eberhard Kaniuth,Keith F. Taylor

By Eberhard Kaniuth,Keith F. Taylor

the twin area of a in the community compact staff G involves the equivalence periods of irreducible unitary representations of G. This booklet presents a complete consultant to the speculation of prompted representations and explains its use in describing the twin areas for very important sessions of teams. It introduces a number of induction buildings and proves the center theorems on prompted representations, together with the basic imprimitivity theorem of Mackey and Blattner. an intensive creation to Mackey research is utilized to compute twin areas for a wide selection of examples. Fell's contributions to knowing the ordinary topology at the twin also are provided. within the ultimate chapters, the idea is utilized in various settings together with topological Frobenius houses and non-stop wavelet transforms. This publication can be beneficial to graduate scholars looking to input the realm in addition to specialists who want the speculation of unitary staff representations of their research.

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