Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Spherical harmonics and integration in superspace - MaRDI portal

Spherical harmonics and integration in superspace

From MaRDI portal
Publication:5297525

DOI10.1088/1751-8113/40/26/007zbMath1143.30315arXiv0705.3148OpenAlexW2949919540MaRDI QIDQ5297525

Hendrik De Bie, Fransiscus Sommen

Publication date: 11 July 2007

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

Full work available at URL: https://arxiv.org/abs/0705.3148




Related Items (38)

Generalized Almansi expansions in superspaceOn the Szegő-Radon projection of monogenic functionsFischer decomposition for polynomials on superspaceDivergence theorems and the supersphereType-B formal higher spin gravityPlane wave formulas for spherical, complex and symplectic harmonicsThe spin group in superspaceOn the Radon transform and the Dirac delta distribution in superspaceDistributions and integration in superspaceThe metaplectic Howe duality and polynomial solutions for the symplectic Dirac operatorRandom matrices with row constraints and eigenvalue distributions of graph LaplaciansHowe duality in Dunkl superspaceUnnamed ItemBargmann and Barut-Girardello models for the Racah algebraA Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra \(\mathfrak{osp}(m, 2 | 2n)\)Berezin integral as a limit of Riemann sumFourier transform and related integral transforms in superspacePolynomial Dirac operators in superspaceThe harmonic transvector algebra in two vector variablesClifford algebras, Fourier transforms, and quantum mechanicsUnitary representations of three dimensional Lie groups revisited: A short tutorial via harmonic functionsFundamental solutions for the super Laplace and Dirac operators and all their natural powersImplementing zonal harmonics with the Fueter principleSupersymmetric analogues of the classical theorem on harmonic polynomialsPizzetti formula on the Grassmannian of 2-planesSchrödinger equation with delta potential in superspaceHypermonogenic plane wave solutions of the Dirac equation in superspaceUnnamed ItemGeneralized Cauchy-Kovalevskaya extension and plane wave decompositions in superspaceRepresentations of super-holomorphic functions and their applicationsThe monogenic Hua-Radon transform and its inverseAn extension of Pizzetti's formula associated with the Dunkl operatorsPizzetti's formula for H-type groupsDecomposition ofk-monogenic functions in superspaceOrthosymplectically invariant functions in superspaceDUNKL-POISSON EQUATION AND RELATED EQUATIONS IN SUPERSPACEHilbert space for quantum mechanics on superspaceThe weighted super Bergman kernels over the supermatrix spaces




This page was built for publication: Spherical harmonics and integration in superspace