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A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces

Sundaram Thangavelu

math.FAarXiv:math/0607157

Abstract

We formulate and prove a version of Paley-Wiener theorem for the inverse Fourier transform on non-compact Riemannian symmetric spaces and Heisenberg groups. The main ingredient in the proof is the Gutzmer's formula.

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