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- W2040421877 abstract "Henkin and Ramirez obtained an integral representation of holomorphic functions for strictly pseudoconvex domains in Range and Siu gave a generalization of Henkin-Ramirez's formula to the domains in C with piecewise smooth strictly pseudoconvex boundaries Sommer proved an integral formula of Weil type for analytic polyhedra in C. Sergeev and Henkin also obtained an integral representation for the strictly pseudoconvex ployhedra. Stout and Hatziafratis have respectively proved integral formulas for strictly pseudoconvex domains in codimension-one and codimension-m complex submanifolds of The formula which was given by Stout is valid not only for nonsingular hyper surf aces, but also for certain subvarieties which may possess sufficiently restricted singular points. Hatziafratis' work is based on the results of Stout. In this paper we derive integral formulas which include all the above ([!]-[?]) integral formulas for holomorphic functions. The papers of Stout, Hatziafratis and the author are most relevant references to this work." @default.
- W2040421877 created "2016-06-24" @default.
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- W2040421877 date "1993-01-01" @default.
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- W2040421877 title "General integral representation of the holomorphic functions on the analytic subvariety" @default.
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- W2040421877 doi "https://doi.org/10.2977/prims/1195166741" @default.
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