A Cauchy's Integral Formula for Functions with Values in a Universal Clifford Algebra and its Applications
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Publication:4433214
DOI10.1080/02781070290034638zbMath1061.30043OpenAlexW2080519179MaRDI QIDQ4433214
Publication date: 15 December 2003
Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02781070290034638
Functions of hypercomplex variables and generalized variables (30G35) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Series solutions to PDEs (35C10)
Related Items (16)
On \(k\)-regular functions with values in a universal Clifford algebra ⋮ Riemann boundary value problems for monogenic functions on the hyperplane ⋮ Some properties of operators in Clifford analysis ⋮ Generalized Cauchy theorem in Clifford analysis and boundary value problems for regular functions ⋮ New versions of the Plemelj-Sochocki formula in Clifford analysis ⋮ Generalized integral representations for functions with values in \(C(V_{3,3})\) ⋮ Cauchy integral formula on the distinguished boundary with values in complex universal Clifford algebra ⋮ On boundary behavior of the Cauchy type integrals with values in a universal Clifford algebra ⋮ A laurent expansion and residue theorems of k-regular functions in clifford analysis ⋮ Plemelj formula for Cauchy type integral on certain distinguished boundary in universal Clifford analysis ⋮ A sharp version of Phragmén-Lindelöf type theorem for the stationary Schrödinger equation ⋮ The Privalov Theorem of Some Singular Integral Operators in Real Clifford Analysis ⋮ Some Riemann boundary value problems in Clifford analysis ⋮ Some Riemann boundary value problems in Clifford analysis (I) ⋮ Differential operators, their fundamental solutions and related integral representations in Clifford analysis ⋮ Generalized integral representations in Clifford analysis
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