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

DOI10.1007/s12044-018-0409-0zbMath1405.44001OpenAlexW2808208973MaRDI QIDQ723473

Radouan Daher, Salah El Ouadih

Publication date: 31 July 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-018-0409-0

zbMATH Keywords

generalized translation operatorHelgason Fourier transformsquare integrable functions, symmetric space

Mathematics Subject Classification ID

General integral transforms (44A05)

Related Items

Abilov's estimates for the Clifford-Fourier transform in real Clifford algebras analysis ⋮ Jackson's inequalities in Mellin's analysis ⋮ Jackson's inequalities in Laguerre hypergroup

Cites Work

• Growth properties of Fourier transforms via moduli of continuity
• Approximation of functions by the Fourier-Bessel sums
• A duality for symmetric spaces with applications to group representations
• Some remarks concerning the Fourier transform in the space L 2 (ℝ)
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