Integral operators and dual orthogonal systems on a half-line*

DOI10.1080/10652460108819350zbMath1024.45004OpenAlexW1995890192MaRDI QIDQ4409757

Piotr Oleszczuk, G. F. Us, Yuri V. Kozitskij

Publication date: 30 June 2003

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

Full work available at URL: https://doi.org/10.1080/10652460108819350

zbMATH Keywords

Cauchy problemintegral operatorsLaplace transformationAppell polynomialsgeneralized convolutionUrbanik algebrasLaguerre entire functionsdual orthogonal systems

Mathematics Subject Classification ID

Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Integral operators (45P05) General harmonic expansions, frames (42C15)

Related Items (2)

Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Infinite order differential operators in spaces of entire functions.

Cites Work

• Fonctions différentiables invariantes sous l'opération d'un groupe réductif
• Infinite-dimensional non-Gaussian analysis and generalized translation operators
• A generalization of white noise analysis by means of theory of hypergroups
• Non-Gaussian analysis and hypergroups
• Non-Gaussian infinite dimensional analysis
• Random walks with spherical symmetry
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