MARC Record from marc_columbia

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008 110908t20112011sz a ob 001 0 eng d
035 $a(OCoLC)ocn752385283
035 $a(NNC)16273032
040 $aCOO$beng$erda$cCOO$dOCLCQ$dOSU$dOCLCO$dOCLCQ$dOCLCF$dNOC$dLLB$dHEBIS$dOCLCO$dSTF$dINT$dOCLCQ$dOCLCO$dN$T$dOCLCO
019 $a822225265
020 $a3037195983$qelectronic book
020 $a9783037195987$q(electronic bk.)
020 $z9783037190982
020 $z3037190981
035 $a(OCoLC)752385283$z(OCoLC)822225265
050 4 $aQA331$b.J375 2011eb
082 04 $a515/.98$223
084 $a32-xx$2msc
049 $aZCUA
100 1 $aJarnicki, Marek,$eauthor.
245 10 $aSeparately analytic functions /$cMarek Jarnicki, Peter Pfug.
264 1 $aZürich, Switzerland :$bEuropean Mathematical Society,$c[2011]
264 4 $c©2011
300 $a1 online resource (ix, 296 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aEMS Tracts in mathematics ;$v16
504 $aIncludes bibliographical references (pages 269-280) and index.
588 $aDescription based on print version record.
520 $aThe 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, starting from its birth up to current research. Most of the results presented have never been published before in book form. The text is divided into two parts. A more elementary one deals with separately holomorphic functions "without singularities", another 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. In order to make the book self-contained, all the results needed for its understanding are collected in special introductory chapters and referred to at the beginning of each section. The book is addressed to students and researchers in several complex variables as well as to mathematicians and theoretical physicists who are interested in this area of mathematics.
650 0 $aHolomorphic functions.
650 6 $aFonctions holomorphes.
650 07 $aCalculus & mathematical analysis.$2bicssc
650 7 $aHolomorphic functions.$2fast$0(OCoLC)fst00958953
650 7 $aMehrere komplexe Variable$2gnd
650 7 $aFunktion$gMathematik$2gnd
650 7 $aMehrere Variable$2gnd
650 7 $aHolomorphe Darstellung$2gnd
650 7 $aSingularität$gMathematik$2gnd
650 07 $aSeveral complex variables and analytic spaces.$2msc
655 4 $aElectronic books.
700 1 $aPflug, Peter,$d1943-$eauthor.
776 08 $iPrint version:$aJarnicki, Marek.$tSeparately analytic functions.$dZürich, Switzerland : European Mathematical Society, [2011], ©2011$z3037190981$w(DLC) 2011292222$w(OCoLC)746598745
830 0 $aEMS tracts in mathematics ;$v16.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16273032$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS