Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Spherical functions on Cartan motion groups


Author: Cary Rader
Journal: Trans. Amer. Math. Soc. 310 (1988), 1-45
MSC: Primary 22E45; Secondary 43A90
MathSciNet review: 965746
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This paper gives a reasonably complete treatment of harmonic analysis on Cartan motion groups. Included is an explicit parameterization of irreducible spherical functions of general $ K$-type, and of the nonunitary dual (and its topology). Also included is the explicit Plancherel measure, the Paley Wiener theorem, and an asymptotic expansion of general matrix entries. (These are generalized Bessel functions.) However the main result is Theorem 19, a technical result which measures the size of the centralizer of $ K$ in the universal enveloping algebra of the corresponding reductive group.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 22E45, 43A90

Retrieve articles in all journals with MSC: 22E45, 43A90


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1988-0965746-4
PII: S 0002-9947(1988)0965746-4
Article copyright: © Copyright 1988 American Mathematical Society