On a universality property of certain integral operators

DOI10.1006/jmaa.2000.6990zbMath0972.47035OpenAlexW1982182805MaRDI QIDQ1588423

R. Smith

Publication date: 13 November 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6990

zbMATH Keywords

first categoryDunkl transformsuniversality propertyFourier and Hankel convolution operatorsinitial value problem for the heat equationresidual class

Mathematics Subject Classification ID

Integral operators (47G10) Initial value problems for second-order parabolic equations (35K15) Integral transforms, operational calculus (44A99)

Related Items (4)

Hypercyclic and chaotic convolution operators on Chébli-Trimèche hypergroups ⋮ CHAOTIC ASYMPTOTIC BEHAVIOR OF THE HYPERBOLIC HEAT TRANSFER EQUATION SOLUTIONS ⋮ On operators \(T\) such that \(f(T)\) is hypercyclic ⋮ Hankel convolution operators on entire functions and distributions

Cites Work

• Variation diminishing Hankel transforms
• Operators with dense, invariant, cyclic vector manifolds
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Markov processes related with Dunkl operators
• Biorthogonal polynomials associated with reflection groups and a formula of Macdonald
• Weighted approximations by polynomials
• Bessel-Transformationen in Räumen von Grundfunktionen über dem Intervall Ω = (0, ∞) und deren Dualräumen
• Invariant Manifolds of Hypercyclic Vectors
• Local spectral theory and orbits of operators
• Universal families and hypercyclic operators
• An uncertainty principle for the Dunkl transform
• On operators T such that f(T) is hypercyclic
• On a Universality of the Heat Equation
• Integral Equations Associated with Hankel Convolutions
• The Hankel Transformation of Certain Distributions of Rapid Growth
• Hankel convolution on distribution spaces with exponential growth
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