Harmonic analysis and Hartley transform associated with the generalized differential-difference operator

DOI10.1007/S11785-016-0585-9zbMath1378.42005OpenAlexW2519915784MaRDI QIDQ1682251

Hatem Mejjaoli

Publication date: 29 November 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0585-9

zbMATH Keywords

Plancherel formulageneralized differential-difference operatorLaplace integral representation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Other transforms and operators of Fourier type (43A32)

Cites Work

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• On the half-Hartley transform, its iteration and compositions with Fourier transforms
• Inversion of the Lions transmutation operators using generalized wavelets
• Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups
• The transmutation operators relating to a Dunkl type operator on \(\mathbb{R}\) and their positivity
• The Plancherel, Titchmarsh and convolution theorems for the half-Hartley transform
• Products of groups with cyclic sylow p-subgroups and groups with nontrivial centers
• A More Symmetrical Fourier Analysis Applied to Transmission Problems

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