Variation diminishing convolution kernels associated with second-order differential operators

DOI10.1080/10652469.2013.806506zbMath1287.43001OpenAlexW1995574858MaRDI QIDQ2867930

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Publication date: 20 December 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.806506

zbMATH Keywords

Fourier transforminversion formulaconvolution kernelvariation diminishing

Mathematics Subject Classification ID

Abstract harmonic analysis (43-XX) Linear function spaces and their duals (46Exx)

Related Items (1)

Variation diminishing convolution kernels associated with fractional Hankel-type transform

Cites Work

• Variation diminishing transformations and ultraspherical polynomials
• Variation diminishing Hankel transforms
• Heat ``polynomials for a singular differential operator on (0,\(\infty)\)
• Variation diminishing transformations and Sturm-Liouville systems
• 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
• 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 \([0, \infty\)]
• The convolution structure for Jacobi function expansions
• Variation Diminishing Fourier–Jacobi Transforms
• A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator
• Jacobi Polynomials, I. New Proofs of Koornwinder’s Laplace Type Integral Representation and Bateman’s Bilinear Sum
• On Variation-Diminishing Integral Operators of the Convolution Type

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