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About this book
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 map**s 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.
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.
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Table of contents (3 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Vector-Valued Functions and their Applications
Authors: Chuang-Gan Hu, Chung-Chun Yang
Series Title: Mathematics and its Applications
DOI: https://doi.org/10.1007/978-94-015-8030-4
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 1992
Hardcover ISBN: 978-0-7923-1605-3Published: 31 March 1992
Softcover ISBN: 978-90-481-4123-4Published: 06 December 2010
eBook ISBN: 978-94-015-8030-4Published: 17 April 2013
Series ISSN: 0924-5952
Edition Number: 1
Number of Pages: XII, 160
Topics: Functions of a Complex Variable, Integral Equations, Calculus of Variations and Optimal Control; Optimization