Integration in superspace using distribution theory

DOI10.1088/1751-8113/42/39/395206zbMath1187.58011arXiv0909.2544OpenAlexW2153415609MaRDI QIDQ3650422

Hendrik De Bie, Kevin Coulembier, Fransiscus Sommen

Publication date: 14 December 2009

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

Full work available at URL: https://arxiv.org/abs/0909.2544

zbMATH Keywords

Morera's theoremCauchy-Pompeiu formulaPizzetti integralsuper Radon transform

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Analysis on supermanifolds or graded manifolds (58C50) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (16)

Generalized Almansi expansions in superspace ⋮ Fischer decomposition for polynomials on superspace ⋮ Divergence theorems and the supersphere ⋮ On the Radon transform and the Dirac delta distribution in superspace ⋮ Distributions and integration in superspace ⋮ Pizzetti and Cauchy formulae for higher dimensional surfaces: a distributional approach ⋮ Unnamed Item ⋮ Polynomial Dirac operators in superspace ⋮ Normalized system for the super Laplace operator ⋮ Generalized Cauchy-Kovalevskaya extension and plane wave decompositions in superspace ⋮ Representations of super-holomorphic functions and their applications ⋮ Decomposition ofk-monogenic functions in superspace ⋮ Orthosymplectically invariant functions in superspace ⋮ Hilbert space for quantum mechanics on superspace ⋮ The weighted super-Bergman kernels of \(\mathbb B^{m| n}\) and Integral Representations of the Invariant Inner Products on \(H^2_\nu (\mathbb {B}^m)\) ⋮ The weighted super Bergman kernels over the supermatrix spaces

This page was built for publication: Integration in superspace using distribution theory