Solutions of the Poisson equation and related equations in super spinor space

DOI10.1007/s40315-016-0166-yzbMath1366.58008OpenAlexW2404653599MaRDI QIDQ523316

Hongfen Yuan

Publication date: 20 April 2017

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-016-0166-y

zbMATH Keywords

Helmholtz equationPoisson equationsuper spinor spaceinhomogeneous polyharmonic equationnormalized systems of functions

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Analysis on supermanifolds or graded manifolds (58C50) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (1)

On representations of real analytic functions by monogenic functions

Cites Work

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• Normalized system of functions with respect to the Laplace operator and its applications.
• On a class of tensor product representations for the orthosymplectic superalgebra
• Construction of polynomial solutions to some boundary value problems for Poisson’s equation
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Howe type duality for the metaplectic group acting on symplectic spinor valued forms
• The orthosymplectic superalgebra in harmonic analysis
• On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group

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