東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Separately Analytic Functions

Jarnicki, Marek,

FindBook

Google Book

Amazon

博客來

Separately Analytic Functions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Separately Analytic Functions/ Marek Jarnicki, Peter Pflug
作者:	Jarnicki, Marek,
其他作者:	Pflug, Peter,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2011,
面頁冊數:	1 online resource (306 pages)
標題:	Calculus & mathematical analysis -
電子資源:	https://doi.org/10.4171/098
電子資源:	https://www.ems-ph.org/img/books/jarnicki2_mini.jpg
ISBN:	9783037195987

Separately Analytic Functions
Jarnicki, Marek,

Separately Analytic Functions[electronic resource] /Marek Jarnicki, Peter Pflug - Zuerich, Switzerland :European Mathematical Society Publishing House,2011 - 1 online resource (306 pages) - EMS Tracts in Mathematics (ETM)16.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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 area of mathematics.

ISBN: 9783037195987

Standard No.: 10.4171/098doiSubjects--Topical Terms:

3480907
Calculus & mathematical analysis

Separately Analytic Functions
LDR:02577nmm a22003015a 4500 001 2233221
003 CH-001817-3
005 20110815234510.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20110811sz fot ||| 0|eng d
020 $a 9783037195987
024 7 0 $a 10.4171/098 $2 doi
035 $a 131-110815
040 $a ch0018173
072 7 $a PBK $2 bicssc
084 $a 32-xx $2 msc
100 1 $a Jarnicki, Marek, $e author. $3 3480905
245 1 0 $a Separately Analytic Functions $h [electronic resource] / $c Marek Jarnicki, Peter Pflug
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2011
300 $a 1 online resource (306 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Tracts in Mathematics (ETM) $v 16
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a 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 area of mathematics.
650 0 7 $a Calculus & mathematical analysis $2 bicssc $3 3480907
650 0 7 $a Several complex variables and analytic spaces $2 msc $3 3480813
700 1 $a Pflug, Peter, $e author. $3 3480906
856 4 0 $u https://doi.org/10.4171/098
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/jarnicki2_mini.jpg