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Symmetry Breaking for Representations of Rank One Orthogonal Groups

By: Toshiyuki Kobayashi (Author) , Birgit Speh (Author)

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Ksh 19,150.00

Format: Paperback or Softback

ISBN-13: 9781470419226

Publisher: American Mathematical Society

Publication Date: Dec 30th, 2015

Category: Functional analysis & transforms

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The authors give a complete classification of intertwining operators (symmetry breaking operators) between spherical principal series representations of $G=O(n+1,1)$ and $G'=O(n,1)$. They construct three meromorphic families of the symmetry breaking operators, and find their distribution kernels and their residues at all poles explicitly.

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