Heat kernel and Hardy's theorem for Jacobi transform

DOI10.1142/S0252959903000360zbMath1049.43006MaRDI QIDQ1431018

Takeshi Kawazoe, Jian Ming Liu

Publication date: 27 May 2004

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90)

Related Items (7)

On support properties of functions and their Jacobi transform ⋮ On the theorems of Hardy and Miyachi for the Jacobi–Dunkl transform ⋮ Heisenberg inequalities for Jacobi transforms ⋮ Dynamics of the heat semigroup in Jacobi analysis ⋮ On Hardy's theorem on \(\text{SU}(1, 1)\) ⋮ Hardy-Littlewood-Sobolev-type inequality for the fractional Littlewood-Paley \(g\)-function in Jacobi analysis ⋮ An analogue of Beurling's theorem for the Jacobi transform

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