Author
Xue, HangAffiliation
Department of Mathematics, The University of ArizonaIssue Date
2021-02-26
Metadata
Show full item recordPublisher
Canadian Mathematical SocietyCitation
Xue, H. (2022). Orbital integrals on GLn× GLn/GL2n. Canadian Journal of Mathematics, 74(3), 858–886.Journal
Canadian Journal of MathematicsRights
© Canadian Mathematical Society 2021.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
We study harmonic analysis on the symmetric space GLn× GLn/GL2n We prove several standard results, e.g. Shalika germ expansion of orbital integrals, representability of the Fourier transform of orbital integrals and representability of spherical characters. These properties are not expected to hold for symmetric spaces in general.Note
6 month embargo; published online: 26 February 2021ISSN
0008-414XEISSN
1496-4279Version
Final accepted manuscriptae974a485f413a2113503eed53cd6c53
10.4153/s0008414x21000122