|
Complex Convexity and Analytic Functionals 2004th ed.(Progress in Mathematics Vol.225) H XI, 164 p. 04
Andersson, Mats,
Passare, Mikael,
Sigurdsson, Ragnar
著
発行年月 |
2004年04月 |
|---|
|
出版国 |
スイス |
|---|
言語 |
英語 |
|---|
媒体 |
冊子 |
|---|
装丁 |
hardcover |
|---|
|
ページ数／巻数 |
XI, 164 p. |
|---|
|
|
ジャンル |
洋書／理工学／数学／解析学 |
|---|
|
|
ISBN |
9783764324209 |
|---|
|
商品コード |
0200417588 |
|---|
|
|
|
本の性格 |
学術書 |
|---|
|
新刊案内掲載月 |
2004年05月 |
|---|
|
商品URL
| https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0200417588 |
|---|
内容
A set in complex Euclidean space is called C-convex if all its intersections with complex lines are contractible, and it is said to be linearly convex if its complement is a union of complex hyperplanes. These notions are intermediates between ordinary geometric convexity and pseudoconvexity. Their importance was first manifested in the pioneering work of André Martineau from about forty years ago. Since then a large number of new related results have been obtained by many different mathematicians. The present book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappié transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations.
