Spherical harmonics and integration in superspace: II

DOI10.1088/1751-8113/42/24/245204zbMath1179.30053arXiv0905.2092OpenAlexW1996065123MaRDI QIDQ3637487

Hendrik De Bie, David Eelbode, Fransiscus Sommen

Publication date: 10 July 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2092

zbMATH Keywords

spherical harmonicssuperspacePizzetti integral

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (18)

Fischer decomposition for polynomials on superspace ⋮ The spin group in superspace ⋮ Distributions and integration in superspace ⋮ The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator ⋮ Random matrices with row constraints and eigenvalue distributions of graph Laplacians ⋮ Hypercomplex representations of the Heisenberg group and mechanics ⋮ Berezin integral as a limit of Riemann sum ⋮ Fourier transform and related integral transforms in superspace ⋮ The harmonic transvector algebra in two vector variables ⋮ Clifford algebras, Fourier transforms, and quantum mechanics ⋮ Hypermonogenic plane wave solutions of the Dirac equation in superspace ⋮ Generalized Cauchy-Kovalevskaya extension and plane wave decompositions in superspace ⋮ Pizzetti formulae for Stiefel manifolds and applications ⋮ Conformal symmetries of the super Dirac operator ⋮ Decomposition ofk-monogenic functions in superspace ⋮ Orthosymplectically invariant functions in superspace ⋮ Hilbert space for quantum mechanics on superspace ⋮ The weighted super Bergman kernels over the supermatrix spaces

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