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This monograph describes real analysis approaches to the study of functions of several complex variables, and describes how these methods produce global existence theorems in the theory of functions. The book brings particular attention to recent results with implications for the understanding of pseudoconvexity and plurisubharmonic functions. Based on Oka's theorems and his schema for the grouping of problems, the discussion integrates the theory of analytic functions of several variables and mathematical analysis. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Book by Takeo Ohsawa
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Analysis of Several Complex Variables
Editore:
American Mathematical Society, 82, 2002
ISBN 10: 0821820982
ISBN 13: 9780821820988
Antico o usato
Soft Cover
Prima edizione
Da: Moraine Books, Ruovesi, Finlandia
Valutazione del venditore 5 su 5 stelle
Soft Cover. Condizione: Near Fine. 1st Edition. Text in English. 121 pp. One of the approaches to the study of functions of several complex variables is to use methods originating in real analysis. In this concise book, the author gives a lucid presentation of how these methods produce a variety of global existence theorems in the theory of functions (based on the characterization of holomorphic functions as weak solutions of the Cauchy-Riemann equations). Emphasis is on recent results, including an L2 extension theorem for holomorphic functions, that have brought a deeper understanding of pseudoconvexity and plurisubharmonic functions. Based on Oka's theorems and his schema for the grouping of problems, topics covered in the book are at the intersection of the theory of analytic functions of several variables and mathematical analysis. It is assumed that the reader has a basic knowledge of complex analysis at the undergraduate level. The book would make a fine supplementary text for a graduate-level course on complex analysis. Codice articolo 3471
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