Residual Cauchy-type formula on Riemann surfaces

DOI10.1007/s12220-017-9911-3zbMath1440.32001arXiv1609.01232OpenAlexW2964193907MaRDI QIDQ2187681

Peter L. Polyakov

Publication date: 3 June 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01232

zbMATH Keywords

Riemann surfacesCauchy formulaholomorphic function

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Holomorphic functions of several complex variables (32A10)

Related Items

Boundary integral formula for harmonic functions on Riemann surfaces

Cites Work

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• Explicit Hodge-type decomposition on projective complete intersections
• Explicit Hodge decomposition on Riemann surfaces
• L'intégrale de Cauchy et les fonctions de plusieurs variables
• Sopra una dimostrazione di R. Fueter per un teorema di Hartogs
• Über die Integralformeln in der Funktionentheorie mehrerer komplexer Veränderlichen
• Analytic and meromorphic continuation by means of Green's formula
• Über einen Hartogsschen Satz in der Theorie der analytischen Funktionen von \(n\) komplexen Variablen
• THE LEWY EQUATION AND ANALYSIS ON PSEUDOCONVEX MANIFOLDS
• The Cauchy integral for differential forms
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
• THE CAUCHY-WEIL FORMULA FOR DIFFERENTIAL FORMS