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Vector-Valued Functions and their Applications

  • Chuang-Gan Hu
  • Chung-Chun Yang

Part of the Mathematics and Its Applications (Chinese Series) book series (MACA, volume 3)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Chuang-Gan Hu, Chung-Chun Yang
    Pages 1-67
  3. Chuang-Gan Hu, Chung-Chun Yang
    Pages 68-93
  4. Chuang-Gan Hu, Chung-Chun Yang
    Pages 94-150
  5. Back Matter
    Pages 151-160

About this book

Introduction

This book is the first to be devoted to the theory of vector-valued functions with one variable. This theory is one of the fundamental tools employed in modern physics, the spectral theory of operators, approximation of analytic operators, analytic mappings between vectors, and vector-valued functions of several variables.
The book contains three chapters devoted to the theory of normal functions, Hp-space, and vector-valued functions and their applications. Among the topics dealt with are the properties of complex functions in a complex plane and infinite-dimensional spaces, and the solution of vector-valued integral equations and boundary value problems by complex analysis and functional analysis, which involve methods which can be applied to problems in operations research and control theory. Much original research is included.
This volume will be of interest to those whose work involves complex analysis and control theory, and can be recommended as a graduate text in these areas.

Keywords

Banach Space Boundary value problem Complex analysis Integral equation Meromorphic function calculus differential equation functional analysis operations research

Authors and affiliations

  • Chuang-Gan Hu
    • 1
  • Chung-Chun Yang
    • 2
  1. 1.Department of MathematicsNankai UniversityTianjinPeople’s Republic of China
  2. 2.Department of MathematicsThe Hong Kong University of Science and TechnologyKowloonHong Kong

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8030-4
  • Copyright Information Springer Science+Business Media B.V. 1992
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4123-4
  • Online ISBN 978-94-015-8030-4
  • Series Print ISSN 0924-5952
  • Buy this book on publisher's site