Fourier Transforms of Dini–Lipschitz Functions on Rank 1 Symmetric Spaces

Fourier Transforms of Dini–Lipschitz Functions on Rank 1 Symmetric Spaces

In this paper, we prove an analog of Younis’s result [Int J Math Math Sci 9(2): 301–312 1986 , Theorem 5.2] on the image under the Fourier–Helgason transform of a set of functions satisfying the Dini–Lipschitz functions in L p ( 1 < p ≤ 2 ) for functions on noncompact rank 1 Riemannian symmetric...

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Veröffentlicht in:Mediterranean journal of mathematics 2016-12, Vol.13 (6), p.4401-4411
Hauptverfasser: Fahlaoui, S., Boujeddaine, M., El Kassimi, M.
Format: Artikel
Sprache:eng
Schlagworte:
Fourier transforms
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we prove an analog of Younis’s result [Int J Math Math Sci 9(2): 301–312 1986 , Theorem 5.2] on the image under the Fourier–Helgason transform of a set of functions satisfying the Dini–Lipschitz functions in L p ( 1 < p ≤ 2 ) for functions on noncompact rank 1 Riemannian symmetric spaces.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-016-0752-2