The Hermitian Clifford analysis toolbox
From MaRDI portal
Publication:1038807
DOI10.1007/s00006-008-0081-zzbMath1177.30064OpenAlexW2050095618MaRDI QIDQ1038807
Fred Brackx, Hennie De Schepper, Fransiscus Sommen
Publication date: 20 November 2009
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-008-0081-z
Functions of hypercomplex variables and generalized variables (30G35) Operations with distributions and generalized functions (46F10)
Related Items
A representation of sl(2;C) on clifford algebra of even dimension ⋮ A Martinelli–Bochner formula for the Hermitian Dirac equation ⋮ Polynomial solutions of the Hermitian submonogenic system ⋮ Hermitian Clifford analysis on superspace ⋮ Some properties of the spinor Fourier transform ⋮ Complex boosts: a Hermitian Clifford algebra approach ⋮ On fundamental solutions in Clifford analysis ⋮ Duality for Hermitean systems in \(\mathbb R^{2n}\) ⋮ A Hilbert transform for matrix functions on fractal domains ⋮ Cauchy integral formulae in quaternionic Hermitean Clifford analysis ⋮ The fractional Clifford-Fourier transform ⋮ On primitives and conjugate harmonic pairs in Hermitian Clifford analysis ⋮ Boundary value problems for the quaternionic Hermitian system in \(\mathbb R^{4n}\) ⋮ Half Dirichlet problem for matrix functions on the unit ball in Hermitian Clifford analysis ⋮ Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis ⋮ Unitary geometric algebra ⋮ A Cauchy kernel for the Hermitian submonogenic system ⋮ Cauchy’s Formula in Clifford Analysis: An Overview ⋮ On the structure of complex Clifford algebra ⋮ Orthogonality of the generalized Hermitean Clifford–Hermite polynomials ⋮ A matrix Hilbert transform in Hermitean Clifford analysis ⋮ The class of Clifford-Fourier transforms ⋮ Fischer decomposition in symplectic harmonic analysis ⋮ The Cauchy integral formula in Hermitian, quaternionic and \(\mathfrak{osp}(4|2)\) Clifford analysis ⋮ Dirichlet type problems in Hermitian Clifford analysis ⋮ On a mixed Fischer decomposition in Clifford analysis ⋮ The Teodorescu operator in Clifford analysis ⋮ Closed form of the Fourier-Borel kernel in the framework of Clifford analysis ⋮ A holomorphic extension theorem using Clifford analysis ⋮ Embedding factors for branching in Hermitian Clifford analysis ⋮ The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis ⋮ Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces ⋮ A Hermitian Cauchy formula on a domain with fractal boundary ⋮ Biregular extendability via isotonic Clifford analysis ⋮ The Howe dual pair in Hermitean Clifford analysis ⋮ On the CK-extension for a Special Overdetermined System in Complex Clifford Analysis ⋮ Paracomplex Hermitean Clifford analysis ⋮ Generalized Hermitean Clifford-Hermite polynomials and the associated wavelet transform ⋮ Fundaments of quaternionic Clifford analysis. I: Quaternionic structure ⋮ On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis ⋮ Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces ⋮ Spin geometry and image processing ⋮ Two-sided Clifford Fourier transform with two square roots of \(-1\) in \(Cl(p,q)\) ⋮ Generalized Taylor series in hermitian Clifford analysis ⋮ Boundary value problems associated to a Hermitian Helmholtz equation ⋮ Gel'fand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis ⋮ Special functions and systems in Hermitian Clifford analysis ⋮ Half Dirichlet problem for the Hölder continuous matrix functions in Hermitian Clifford analysis ⋮ Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis ⋮ Special functions and systems in Hermitian Clifford analysis: Higher codimension ⋮ Quantum computing based on complex Clifford algebras ⋮ Boundary value problems on fractal hypersurfaces for the quaternionic Hermitian system in \(\mathbb R^{4n}\) ⋮ Bicomplex Hermitian Clifford analysis
