Paley-Wiener Theorem for Line Bundles over Compact Symmetric Spaces

We generalize a Paley-Wiener theorem to homogeneous line bundles $L_\chi$ on a compact symmetric space U/K with $\chi$ a nontrivial character of K. The Fourier coefficients of a $\chi$-bi-coinvariant function f on U are defined by integration of f against the elementary spherical functions of type $...

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Bibliographic Details
Main Author: Ho, Vivian Mankau
Other Authors: Davidson, Mark
Format: Others
Language:en
Published: LSU 2012
Subjects:
Online Access:http://etd.lsu.edu/docs/available/etd-07122012-095333/