Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces

M. El Hamma, R. Daher & A. Akhlidj

doi:10.4208/ata.2018.v34.n2.1

Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces

Authors

M. El Hamma, R. Daher & A. Akhlidj

DOI:

https://doi.org/10.4208/ata.2018.v34.n2.1

Keywords:

Fourier transform, generalized continuity modulus, symmetric space.

Abstract

Two estimates useful in applications are proved for the Fourier transform in the space $\rm{L}^2(\rm{X})$, where $\rm{X}$ a symmetric space, as applied to some classes of functions characterized by a generalized modulus of continuity.

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Published

2018-07-16

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Issue

Vol. 34 No. 2 (2018)

Section

Articles

How to Cite

Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces. (2018). Analysis in Theory and Applications, 34(2), 103-111. https://doi.org/10.4208/ata.2018.v34.n2.1