English

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

Functional Analysis 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0607157,
  title  = {A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces},
  author = {Sundaram Thangavelu},
  journal= {arXiv preprint arXiv:math/0607157},
  year   = {2007}
}

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17 pages