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

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

2006-07-06

arxiv.org/abs/math/0607157v1

Mathematics

Functional Analysis

17 pages

Scientific paper

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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