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Characterization of Dini–Lipschitz functions for the Helgason Fourier transform on rank one symmetric spaces

  • Salah El Ouadih EMAIL logo and Radouan Daher
Published/Copyright: August 5, 2016

Abstract

In this paper, using a generalized translation operator, we obtain an analog of Younis’ theorem, [9, Theorem 5.2], for the Helgason Fourier transform of a set of functions satisfying the Dini–Lipschitz condition in the space L2 for functions on noncompact rank one Riemannian symmetric spaces.

MSC 2010: 42B37

References

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Received: 2016-3-13
Revised: 2016-6-16
Accepted: 2016-6-22
Published Online: 2016-8-5
Published in Print: 2016-10-1

© 2016 by De Gruyter

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