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

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Abstract

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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Acknowledgements

The authors would like to thank the referee for his valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences Aïn Chock, University Hassan II, Casablanca, Morocco

    R Daher & S El Ouadih

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  1. R Daher
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  2. S El Ouadih
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Correspondence to S El Ouadih.

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Communicating Editor: E K Narayanan

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Daher, R., Ouadih, S.E. Some new estimates for the Helgason Fourier transform on rank 1 symmetric spaces. Proc Math Sci 128, 37 (2018). https://doi.org/10.1007/s12044-018-0409-0

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  • DOI: https://doi.org/10.1007/s12044-018-0409-0

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