Некоторые оценки для обобщенного преобразования Фурье, ассоциированного с оператором Чередника - Опдама

DOI10.23671/VNC.2018.3.18031zbMath1474.42024MaRDI QIDQ4970060

Hamad Sidi Lafdal, Radouan Daher, Salah El Ouadih

Publication date: 14 October 2020

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj667

zbMATH Keywords

generalized translationgeneralized Fourier transformCherednik-Opdam operator

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Cites Work

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• Growth properties of Fourier transforms via moduli of continuity
• Approximation of functions by the Fourier-Bessel sums
• New estimates for the generalized Fourier-Bessel transform in the space \(L_{\alpha ,n}^2\)
• Harmonic analysis for certain representations of graded Hecke algebras
• Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
• Some remarks concerning the Fourier transform in the space L 2 (ℝ)

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