Separately Analytic Functions PDF
By:Marek Jarnicki,Peter Pflug
Published on 2011 by JP Medical Ltd
The story of separately holomorphic functions began about 100 years ago. During the second half of the 19th century, it became known that a separately continuous function is not necessarily continuous as a function of all variables. At the beginning of the 20th century, the study of separately holomorphic functions started due to the fundamental work of Osgood and Hartogs. This book provides the first self-contained and complete presentation of the study of separately holomorphic functions, from its beginnings to current research. Most of the results presented have never been published before in book form. The text is divided into two parts. The first part deals with separately holomorphic functions, |without singularities|. The second part addresses the situation of existing singularities. A discussion of the classical results related to separately holomorphic functions leads to the most fundamental result, the classical cross theorem as well as various extensions and generalizations, to more complicated |crosses|. Additionally, several applications for other classes of |separately regular| functions are given. A solid background in basic complex analysis is a prerequisite. To make the book self contained, all the results are collected in special introductory chapters and referred to at the beginning of each section. This book is addressed to students and researchers in several complex variables as well as mathematicians and theoretical physicists interested in this area of mathematics.
This Book was ranked at 18 by Google Books for keyword Analytic.
Book ID of Separately Analytic Functions's Books is gm31AEgs67sC, Book which was written byMarek Jarnicki,Peter Pflughave ETAG "F2zFGtI2SUw"
Book which was published by JP Medical Ltd since 2011 have ISBNs, ISBN 13 Code is 9783037190982 and ISBN 10 Code is 3037190981
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