Some new estimates for the Helgason Fourier transform on rank 1 symmetric spaces

New estimates are proved for the Helgason Fourier transform in the space L 2 ( X ) on certain classes of functions characterized by the spherical modulus of continuity.

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Bibliographic Details
Published inProceedings of the Indian Academy of Sciences. Mathematical sciences Vol. 128; no. 3; pp. 1 - 11
Main Authors Daher, R, Ouadih, S El
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.06.2018
Springer Nature B.V
Subjects
Fourier transforms
Mathematics
Mathematics and Statistics
generalized translation operator
Primary: 46L55
Symmetric space
Helgason Fourier transform
spherical modulus of continuity
Secondary: 44B20
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Summary:New estimates are proved for the Helgason Fourier transform in the space L 2 ( X ) on certain classes of functions characterized by the spherical modulus of continuity.
ISSN:0253-4142
0973-7685
DOI:10.1007/s12044-018-0409-0