Extremal functions on Sturm-Liouville hypergroups

DOI10.1007/s11785-013-0303-9zbMath1304.42027OpenAlexW2005507835MaRDI QIDQ403695

Fethi Soltani

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1007/s11785-013-0303-9

zbMATH Keywords

Sobolev spacesextremal functionsTikhonov regularizationreproducing kernelsmultiplier operatorsSturm-Liouville transform

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Sturm-Liouville theory (34B24) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Multipliers for harmonic analysis in several variables (42B15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (2)

Generalization of Titchmarsh's theorem for the modified Whittaker transform ⋮ Difference and primitive operators on the Dunkl-type Fock SPACE \(\mathscr{F}_{\alpha }(\mathbb{C}^d)\)

Cites Work

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• General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces
• Real inversion formulas of the Laplace transform on weighted function spaces
• Sobolev spaces in the generalized distribution spaces of Beurling type
• The central limit theorem for Chébli-Trimèche hypergroups
• Some results on Tchebycheffian spline functions and stochastic processes
• The weierstrass transform and an isometry in the heat equation
• Interpolation of Linear Operators
• Fourier Multipliers for L ^p on Chébli-Trimèche Hypergroups
• Approximate real inversion formulas of the gaussian convolution
• Approximate and analytical inversion formulas in heat conduction on multidimensional spaces
• Theory of Reproducing Kernels

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