Iterated Dirac operators in \(\mathbb C^ n\)
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Publication:1179992
DOI10.4171/ZAA/410zbMath0758.47039MaRDI QIDQ1179992
Publication date: 27 June 1992
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Dirac operatorclassification of linear conformally invariant Clifford algebra valued differential operators
Functions of hypercomplex variables and generalized variables (30G35) Pseudodifferential and Fourier integral operators on manifolds (58J40) Other generalizations of function theory of one complex variable (32A30)
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Some properties of a T operator with B-m kernel in the complex Clifford analysis ⋮ Boundary value problems for modified Dirac operators in Clifford analysis ⋮ Some operators associated with Rarita–Schwinger type operators ⋮ Generalized Almansi expansions in superspace ⋮ Some conformally flat spin manifolds, Dirac operators and automorphic forms ⋮ Some Rarita-Schwinger type operators ⋮ Fundamental solutions for the Laplace-Beltrami operator defined by the conformal hyperbolic metric and Jacobi polynomials ⋮ Complete function systems and decomposition results arising in Clifford analysis ⋮ A new Cauchy integral formula in the complex Clifford analysis ⋮ Numerical null-solutions to iterated Dirac operator on bounded domains ⋮ A variant of Hörmander's \(L^2\) existence theorem for the Dirac operator in Clifford analysis ⋮ Hyperholomorphic functions ⋮ Plemelj formulas for Rarita-Schwinger type operators ⋮ Representations of super-holomorphic functions and their applications ⋮ (Discrete) Almansi type decompositions: an umbral calculus framework based on osp(1|2) symmetries ⋮ Quaternionic holomorphy ⋮ Clifford and harmonic analysis on cylinders and tori ⋮ The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces ⋮ DUNKL-POISSON EQUATION AND RELATED EQUATIONS IN SUPERSPACE
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