Foundations of complex analysis in non locally convex spaces function theory without convexity condition / [electronic resource] :
- 作者： Bayoumi, Aboubakr.
- 其他作者：
- 出版： Amsterdam ;Boston : Elsevier
- 版本：1st ed.
- 叢書名： North-Holland mathematics studiesv. 193
- 主題： Holomorphic functions. , Functional analysis , Convexity spaces. , Convex surfaces. , Complexes , Electronic books.
- ISBN： 9780444500564 、 0444500561
-
FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Includes bibliographical references (p. 262-277) and index.
-
摘要註:
All the existing books in Infinite Dimensional Complex Analysis focus on the problems of locally convex spaces. However, the theory without convexity condition is covered for the first time in this book. This shows that we are really working with a new, important and interesting field.
Theory of functions and nonlinear analysis problems are widespread in the mathematical modeling of real world systems in a very broad range of applications. During the past three decades many new results from the author have helped to solve multiextreme problems arising from important situations, non-convex and non linear cases, in function theory.
Foundations of Complex Analysis in Non Locally Convex Spaces is a comprehensive book that covers the fundamental theorems in Complex and Functional Analysis and presents much new material.
The book includes generalized new forms of: Hahn-Banach Theorem, Multilinear maps, theory of polynomials, Fixed Point Theorems, p-extreme points and applications in Operations Research, Krein-Milman Theorem, Quasi-differential Calculus, Lagrange Mean-Value Theorems, Taylor series, Quasi-holomorphic and Quasi-analytic maps, Quasi-Analytic continuations, Fundamental Theorem of Calculus, Bolzano's Theorem, Mean-Value Theorem for Definite Integral, Bounding and weakly-bounding (limited) sets, Holomorphic Completions, and Levi problem.
Each chapter contains illustrative examples to help the student and researcher to enhance his knowledge of theory of functions.
The new concept of Quasi-differentiability introduced by the author represents the backbone of the theory of Holomorphy for non-locally convex spaces. In fact it is different but much stronger than the Frechet one.
The book is intended not only for Post-Graduate (M.Sc.& Ph.D.) students and researchers in Complex and Functional Analysis, but for all Scientists in various disciplines whom need nonlinear or non-convex analysis and holomorphy methods without convexity conditions to mode
-
讀者標籤：
- 系統號： 005051708 | 機讀編目格式
館藏資訊
