Citations
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Journal ArticleDOI
Hilbert integrals, singular integrals, and Radon transforms I
Duong H. Phong,Elias M. Stein +1 more
TL;DR: The authors introduce deux nouvelles classes d'operateurs, etudie leur relation and montre comment on peut les appliquer a l'etude des problemes aux valeurs limites.
Journal ArticleDOI
Strictly pseudoconvex domains in $C^n$
TL;DR: In this paper, the authors used the Cauchy-Fantappie calculus to transform the Bochner-Martinelli kernel into a kernel adapted to strictly pseudoconvex domains in ℂ n and proved finiteness and vanishing theorems for these domains.
Journal ArticleDOI
Uniform estimates for the\(\bar \partial \)-equation on domains with piecewise smooth strictly pseudoconvex boundaries
R. Michael Range,Yum-Tong Siu +1 more
TL;DR: In this paper, it was shown that there is a solution of the R-equation with uniform bounds for (0, 1)-forms on strictly pseudoconvex domains with smooth boundary in a Stein manifold.
Journal ArticleDOI
The lewy equation and analysis on pseudoconvex manifolds
TL;DR: The Lewy equation on the boundary of a strictly convex domain has been studied in this article, where the main formula for global solutions of the -equation and a criterion for the local solubility of the Lewy equations are discussed.
References
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Book
An introduction to complex analysis in several variables
TL;DR: In this article, the authors present an analysis of analytical functions of one complex variable and several complex variables in Commutative Banach Algebras with Stein Manifolds.
Book
Analytic functions of several complex variables
Robert C. Gunning,Hugo Rossi +1 more
TL;DR: The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century after initial successes by Poincare and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable as discussed by the authors.