Some properties of operators in Clifford analysis
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Publication:5297073
DOI10.1080/17476930701200666zbMath1177.30072OpenAlexW2092587103MaRDI QIDQ5297073
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Publication date: 18 July 2007
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476930701200666
Integro-ordinary differential equations (45J05) Functions of hypercomplex variables and generalized variables (30G35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Theoretical approximation in context of PDEs (35A35) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)
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Boundary value problems for modified Helmholtz equations and applications ⋮ The Schwarz lemma for functions with values in \(C(V_{n,0})\) ⋮ The Schwarz type lemma in upper half space in Clifford analysis ⋮ Some estimates for the Cauchy transform in higher dimensions ⋮ Nonlinear Riemann type problems associated to Hermitian Helmholtz equations ⋮ New versions of the Plemelj-Sochocki formula in Clifford analysis ⋮ Generalized integral representations for functions with values in \(C(V_{3,3})\) ⋮ The Schwarz lemma in Clifford analysis ⋮ Riemann boundary value problem for harmonic functions in Clifford analysis ⋮ On boundary behavior of the Cauchy type integrals with values in a universal Clifford algebra ⋮ Riemann-type problem in Hermitian Clifford analysis ⋮ Some integral representations and singular integral over plane in Clifford analysis ⋮ Some Riemann boundary value problems in Clifford analysis ⋮ Dirac operators with gradient potentials and related monogenic functions ⋮ Some Riemann boundary value problems in Clifford analysis (I)
Cites Work
- Unnamed Item
- On \(k\)-regular functions with values in a universal Clifford algebra
- Definition and properties of a hypercomplex singular integral operator
- On regular-analytic functions with values in a Clifford-algebra
- On the singularities of functions with values in a Clifford algebra
- Integral Representation Formulas in Polydomains
- Hyperholomorphic Functions and Second Order Partial Differential Equations in R n
- Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
- Analysis and Applications of Holomorphic Functions in Higher Dimensions
- A Cauchy's Integral Formula for Functions with Values in a Universal Clifford Algebra and its Applications
- Cauchy-Green Type Formulae in Clifford Analysis
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