Can I read GTM108-Holomorphic Functions and Integral Representations in Several Complex Variables1986 on EtoBox?

GTM108-Holomorphic Functions and Integral Representations in Several Complex Variables1986 by R. Michael Range (auth.) is a nonfiction available to read on EtoBox.

What is GTM108-Holomorphic Functions and Integral Representations in Several Complex Variables1986 about?

The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particuƯ lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differƯ ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the a

Who reads GTM108-Holomorphic Functions and Integral Representations in Several Complex Variables1986?

Author

R. Michael Range (auth.)

Publisher

Springer New York : Imprint : Springer

Published

1986

Language

EN

ISBN

9781441930781

Category

nonfiction

Subjects

Mathematics, Stem