The 𝔳-radial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces

Roberto Camporesi

Colloquium Mathematicae (2016)

  • Volume: 144, Issue: 1, page 87-113
  • ISSN: 0010-1354

Abstract

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We prove the Paley-Wiener theorem for the Helgason Fourier transform of smooth compactly supported 𝔳-radial functions on a Damek-Ricci space S = NA.

How to cite

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Roberto Camporesi. "The 𝔳-radial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces." Colloquium Mathematicae 144.1 (2016): 87-113. <http://eudml.org/doc/283690>.

@article{RobertoCamporesi2016,
abstract = {We prove the Paley-Wiener theorem for the Helgason Fourier transform of smooth compactly supported 𝔳-radial functions on a Damek-Ricci space S = NA.},
author = {Roberto Camporesi},
journal = {Colloquium Mathematicae},
keywords = {harmonic spaces; Jacobi functions; Paley-Wiener theorem},
language = {eng},
number = {1},
pages = {87-113},
title = {The 𝔳-radial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces},
url = {http://eudml.org/doc/283690},
volume = {144},
year = {2016},
}

TY - JOUR
AU - Roberto Camporesi
TI - The 𝔳-radial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces
JO - Colloquium Mathematicae
PY - 2016
VL - 144
IS - 1
SP - 87
EP - 113
AB - We prove the Paley-Wiener theorem for the Helgason Fourier transform of smooth compactly supported 𝔳-radial functions on a Damek-Ricci space S = NA.
LA - eng
KW - harmonic spaces; Jacobi functions; Paley-Wiener theorem
UR - http://eudml.org/doc/283690
ER -

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