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[null,"1.","Record Nr.",null,"UNINA9910151928903321"]
[null,null,"Autore",null,"Jarnicki Marek"]
[null,null,"Titolo",null,"Separately Analytic Functions [[electronic resource] /] / Marek Jarnicki, Peter Pflug"]
[null,null,"Pubbl/distr/stampa",null,"Zuerich, Switzerland, : European Mathematical Society Publishing House, 2011"]
[null,null,"ISBN",null,"3-03719-598-3"]
[null,null,"Descrizione fisica",null,"1 online resource (306 pages)"]
[null,null,"Collana",null,"EMS Tracts in Mathematics (ETM) ; 16"]
[null,null,"Classificazione",null,"32-xx"]
[null,null,"Soggetti",null,"Calculus & mathematical analysis"]
[{"$nulls":4},"Several complex variables and analytic spaces"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Sommario/riassunto","The story of separately holomorphic functions began about 100 years ago.  During the second half of the 19th century, it became known that a separately  continuous function is not necessarily continuous as a function of all  variables. At the beginning of the 20th century, the study of separately  holomorphic functions started due to the fundamental work of Osgood and  Hartogs.    This book provides the first self-contained and complete presentation of the  study of separately holomorphic functions, starting from its birth up to  current research. Most of the results presented have never been published  before in book form. The text is divided into two parts. A more elementary  one deals with separately holomorphic functions \"without singularities\",  another addresses the situation of existing singularities. A discussion of the  classical results related to separately holomorphic functions leads to the  most fundamental result, the classical cross theorem as well as various  extensions and generalizations to more complicated \"crosses\". Additionally,  several applications for other classes of \"separately regular\" functions are  given.    A solid background in basic complex analysis is a prerequisite. In order to  make the book self-contained, all the results needed for its understanding  are collected in special introductory chapters and referred to at the beginning  of each section.    The book is addressed to students and researchers in several complex  variables as well as to mathematicians and theoretical physicists who are  interested in this "]
[{"$nulls":4},"area of mathematics."]