Clifford analysis techniques for spherical PDE.
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Publication:1565954
DOI10.1007/s00041-002-0026-1zbMath1047.53023OpenAlexW2023720823MaRDI QIDQ1565954
Publication date: 13 October 2003
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-002-0026-1
Functions of hypercomplex variables and generalized variables (30G35) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Spin and Spin({}^c) geometry (53C27)
Related Items (17)
Hilbert boundary value problems with fermionic weight in \(\mathbb R^3\) ⋮ Some operators associated with Rarita–Schwinger type operators ⋮ Some conformally flat spin manifolds, Dirac operators and automorphic forms ⋮ Spherical \(\Pi \)-type operators in Clifford analysis and applications ⋮ Spinor-valued \(L^2\)-spaces on \(S^{m-1}\) and representations of \(\mathrm{Spin}^+(1,m)\) ⋮ Conformal operators on weighted forms; their decomposition and null space on Einstein manifolds ⋮ The method of fundamental solutions applied to boundary value problems on the surface of a sphere ⋮ Fundamental solutions and Gegenbauer expansions of Helmholtz operators in Riemannian spaces of constant curvature ⋮ Function theory for Laplace and Dirac-Hodge operators in hyperbolic space ⋮ Dirac type operators for spin manifolds associated to congruence subgroups of generalized modular groups ⋮ Conformally invariant powers of the Dirac operator in Clifford analysis ⋮ Construction of special solutions for the Maxwell equations ⋮ The photogenic Cauchy transform ⋮ Hyperbolic \(L_2\)-modules with reproducing kernels ⋮ Clifford and harmonic analysis on cylinders and tori ⋮ Explicit representations of the regular solutions to the time‐harmonic Maxwell equations combined with the radial symmetric Euler operator ⋮ Dirac and Laplace operators on some non-orientable conformally flat orbifolds
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