Vector-Valued Functions and their Applications

1. Auflage. Softcover version of original hardcover Auflage 1992
ISBN: 978-90-481-4123-4
Verlag: Springer Netherlands

Buch, Englisch, Band 3, 160 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 277 g

Reihe: Mathematics and its Applications

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, -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.

Zielgruppe

Research

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis

Inhaltsverzeichnis

Theory of Normal Families.- H p Space.- Vector-Valued Analysis.