Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces

Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces

Year:    2018

Analysis in Theory and Applications, Vol. 34 (2018), Iss. 2 : pp. 103–111

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Analysis in Theory and Applications, Vol. 34 (2018), Iss. 2 : pp. 103–111

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Fourier transform generalized continuity modulus symmetric space.