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Symmetry breaking for representations of rank one orthogonal groups

Author: Toshiyuki Kobayashi; Birgit Speh; American Mathematical Society,
Publisher: Providence, Rhode Island : American Mathematical Society, 2015. ©2015
Series: Memoirs of the American Mathematical Society, no. 1126.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

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  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Kobayashi, Toshiyuki, 1962-
Symmetry breaking for representations of rank one orthogonal groups.
Providence, Rhode Island : American Mathematical Society, 2015
(DLC) 2015027247
(OCoLC)916408495
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Toshiyuki Kobayashi; Birgit Speh; American Mathematical Society,
ISBN: 9781470426156 1470426153 147041922X 9781470419226
OCLC Number: 920024642
Notes: "Volume 238, number 1126 (fourth of 6 numbers), November 2015"
Description: 1 online resource (v, 112 pages) : illustrations.
Contents: * Introduction* Symmetry breaking for the spherical principal series representations* Symmetry breaking operators* More about principal series representations* Double coset decomposition $P'\setminus G/P$* Differential equations satisfied by the distribution kernels of symmetry breaking operators $K$-finite vectors and regular symmetry breaking operators $\widetilde {\mathbb {A}} _{\lambda , \nu }$* Meromorphic continuation of regular symmetry breaking operators ${K}_{{\lambda },{\nu }}^{\mathbb {A}}$* Singular symmetry breaking operator $\widetilde {\mathbb {B}} _{\lambda ,\nu }$* Differential symmetry breaking operators* Classification of symmetry breaking operators* Residue formulae and functional identities* Image of symmetry breaking operators* Application to analysis on anti-de Sitter space* Application to branching laws of complementary series* Appendix* References* List of symbols
Series Title: Memoirs of the American Mathematical Society, no. 1126.
Responsibility: Toshiyuki Kobayashi, Birgit Speh.

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