Volume 34, Issue 2
Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces

Anal. Theory Appl., 34 (2018), pp. 103-111.

Published online: 2018-07

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• 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.

• Keywords

Fourier transform, generalized continuity modulus, symmetric space.

41A30, 41A17

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@Article{ATA-34-103, author = {}, title = {Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces}, journal = {Analysis in Theory and Applications}, year = {2018}, volume = {34}, number = {2}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2018.v34.n2.1}, url = {http://global-sci.org/intro/article_detail/ata/12579.html} }
TY - JOUR T1 - Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces JO - Analysis in Theory and Applications VL - 2 SP - 103 EP - 111 PY - 2018 DA - 2018/07 SN - 34 DO - http://doi.org/10.4208/ata.2018.v34.n2.1 UR - https://global-sci.org/intro/article_detail/ata/12579.html KW - Fourier transform, generalized continuity modulus, symmetric space. AB -

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.

M. El Hamma, R. Daher & A. Akhlidj. (1970). Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces. Analysis in Theory and Applications. 34 (2). 103-111. doi:10.4208/ata.2018.v34.n2.1
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