On boundary behavior of the Cauchy type integrals with values in a universal Clifford algebra

DOI10.1007/s00006-010-0237-5zbMath1217.30043OpenAlexW1997713612MaRDI QIDQ537486

Jinyuan Du, Na Xu

Publication date: 20 May 2011

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-010-0237-5

zbMATH Keywords

Cauchy principal value integralCauchy type integraldistinguished boundarySochocki-Plemelj formulauniversal Clifford analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (6)

Riemann boundary value problems for monogenic functions on the hyperplane ⋮ Cauchy type integrals and a boundary value problem in a complex 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 ⋮ Cauchy integral formula on the distinguished boundary with values in complex universal Clifford algebra ⋮ The Riemann boundary value problem related to the time-harmonic Maxwell equations

Cites Work

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• Hyperholomorphic Functions and Second Order Partial Differential Equations in R n
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• Some connections between clifford analysis and complex analysis
• Modified clifford analysis
• Cousin problem for biregular functions with values in a clifford algebra
• On boundary value problems of riemann-hilbert type for monogenic functions in a half space of
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• A Cauchy's Integral Formula for Functions with Values in a Universal Clifford Algebra and its Applications
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