Harmonic analysis and integral transforms associated with a class of a system of partial differential operators

DOI10.1016/j.trmi.2017.01.001zbMath1376.42034OpenAlexW2596835084MaRDI QIDQ2409638

Moncef Dziri, Nawel Alaya

Publication date: 13 October 2017

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2017.01.001

zbMATH Keywords

Fourier transforminversion formuladual operatorRiemann-Liouville typeMehler representation

Mathematics Subject Classification ID

Harmonic analysis and PDEs (42B37)

Related Items (1)

Some symmetric semi-classical orthogonal polynomials of class 0≤s≤5

Cites Work

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• Inversion of the Lions transmutation operators using generalized wavelets
• Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
• Heat ``polynomials for a singular differential operator on (0,\(\infty)\)
• Asymptotic formulas for the dual Radon transform and applications
• Radon transforms on Grassmann manifolds
• The Radon transform
• La \(g\)-fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur \((0,\infty)\). (The Littlewood-Paley's \(g\)-function associated with à singular différential opérator on \((0,\infty)\))
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Entire functions of exponential type with polynomial growth on \(\mathbb R^n_x\)
• Fundamentality of ridge functions
• Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups
• Sur un théorème de Paley-Wiener associe à la décomposition spectrale d'un opérateur de Sturm-Liouville sur \([0, \infty\)]
• Ranges and inversion formulas for spherical mean operator and its dual
• Hardy-type inequalities for integral transforms associated with Jacobi operator
• Inversion ofN-Dimensional Spherical Averages
• An inverse method for the processing of synthetic aperture radar data
• On the Determination of a Function from Spherical Averages
• A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator
• Uniform asymptotic expansions at a caustic
• A formula for the norm of an averaging operator on weighted Lebesgue space
• Théoreme de Paley-Wiener associe à un opérateur différentiel singulier sur \((0,+\infty)\)

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