Boundary value problems for hypergenic function vectors

DOI10.1186/S13660-018-1725-8zbMath1497.30018OpenAlexW2808664214WikidataQ55362944 ScholiaQ55362944MaRDI QIDQ824594

N. E. Zubov

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1725-8

zbMATH Keywords

nonlinear boundary value problemClifford analysislinear boundary value problemhypergenic function vector

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Clifford algebras, spinors (15A66) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Cites Work

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• Boundary properties for several singular integral operators in real Clifford analysis
• Hyperbolic extensions of integral formulas
• Hyperbolic function theory in the Clifford algebra \({\mathcal {C}}\ell_{n+1,0}\)
• Topics on hyperbolic function theory in geometric algebra with a positive signature
• A boundary value problem for bihypermonogenic functions in Clifford analysis
• Intrinsic Dirac operators in \(\mathbb{C}^ n\)
• A boundary value problem for hypermonogenic functions in Clifford analysis
• Some properties ofk-hypergenic functions in Clifford analysis
• The Privalov Theorem of Some Singular Integral Operators in Real Clifford Analysis
• Boundary properties of hypergenic-Cauchy type integrals in Clifford analysis

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