Growth Properties of Fourier Transforms

In a recent paper by the authors, growth properties of the Fourier transform on Euclidean space and the Helgason Fourier transform on rank one symmetric spaces of non-compact type were proved and expressed in terms of of a modulus of continuity based on spherical means. The methodology employed firs...

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Veröffentlicht in:	arXiv.org 2011-01
Hauptverfasser:	Bray, William O, Pinsky, Mark A
Format:	Artikel
Sprache:	eng
Schlagworte:	Bessel functions Euclidean geometry Euclidean space Fourier transforms Mathematical analysis
Online-Zugang:	Volltext
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