Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on \(\mathbb C^n\)

DOI10.1007/s11425-006-2069-2zbMath1110.43007OpenAlexW2188259273MaRDI QIDQ867817

Jingzhi Tie, Peter C. Greiner, Der-Chen E. Chang

Publication date: 16 February 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-2069-2

zbMATH Keywords

Fourier transformHeisenberg groupDirichlet kernelBessel functionLaguerre expansionPoisson sum

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integral operators (47G10) Analysis on other specific Lie groups (43A80)

Related Items

The Laguerre calculus on the nilpotent Lie groups of step two, Estimates of Cauchy-Szegő kernel in Hardy spaces on nilpotent Lie groups of step two, Initial value problem and the heat kernel for a mixed type operator, The heat kernel of sub-Laplace operator on nilpotent Lie groups of step two

Cites Work

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