Special functions as subordinated semigroups on the real line

DOI10.1007/s00233-011-9340-8zbMath1368.33008OpenAlexW2085062261MaRDI QIDQ444667

José S. Campos-Orozco, José E. Galé

Publication date: 16 August 2012

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-011-9340-8

zbMATH Keywords

modified Bessel functionsspecial functionsHermite functionsPoisson semigroupconfluent hypergeometric functionsbackwards heat semigroupconvolution semigroupsfractional semigroupGauss-Weierstrass semigroupHankel functionsMcDonald functionsSobolev algebras

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Groups and semigroups of linear operators (47D03) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear ordinary differential equations and systems (34A30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Applications of functional analysis to differential and integral equations (46N20)

Related Items (5)

Quasigeostrophic equations for fractional powers of infinitesimal generators ⋮ \(C_0\)-semigroups and resolvent operators approximated by Laguerre expansions ⋮ A subordination principle on Wright functions and regularized resolvent families ⋮ Continuous Sheffer families. I ⋮ Hermite expansions of \(C_0\)-groups and cosine functions

Cites Work

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• Standard ideals in weighted algebras of Korenblyum and Wiener types
• Standard ideals in convolution Sobolev algebras on the half-line
• COMPLEX FOURIER--BESSEL TRANSFORMS

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