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Item Details
Title: A COMPLEX ANALYSIS PROBLEM BOOK
By: Daniel Alpay
Format: Paperback

List price: £62.99


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ISBN 10: 3034800770
ISBN 13: 9783034800778
Publisher: SPRINGER BASEL
Pub. date: 20 August, 2011
Pages: 536
Description: This introduction to aspects of analytic function theory not usually touched on in a first course is a compilation of exercises in the theory that includes completed and detailed solutions. It also discusses topics that are relevant to electrical engineering.
Synopsis: This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises we wish to show to the students some aspects of what lies beyond a first course in complex variables. We also discuss topics of interest for electrical engineering students (for instance, the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). Examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space) are given. The book also includes a part where relevant facts from topology, functional analysis and Lebesgue integration are reviewed.
Illustrations: biography
Publication: Switzerland
Imprint: Springer Basel
Returns: Returnable
Some other items by this author:
A COMPLEX ANALYSIS PROBLEM BOOK (PB)
ADVANCED COMPLEX ANALYSIS PROBLEM BOOK (PB)
BASICS OF FUNCTIONAL ANALYSIS WITH BICOMPLEX SCALARS, AND BICOMPLEX SCHUR ANALYSIS (PB)
CHARACTERISTIC FUNCTIONS, SCATTERING FUNCTIONS AND TRANSFER FUNCTIONS (HB)
EXERCISES IN APPLIED MATHEMATICS
INTERPOLATION THEORY, SYSTEMS THEORY AND RELATED TOPICS (HB)
INTERPOLATION THEORY, SYSTEMS THEORY AND RELATED TOPICS (PB)
INTERPOLATION, SCHUR FUNCTIONS AND MOMENT PROBLEMS (HB)
INTERPOLATION, SCHUR FUNCTIONS AND MOMENT PROBLEMS II (HB)
INTERPOLATION, SCHUR FUNCTIONS AND MOMENT PROBLEMS II (PB)
NONCOMMUTATIVE ANALYSIS, OPERATOR THEORY (PB)
NONCOMMUTATIVE ANALYSIS, OPERATOR THEORY AND APPLICATIONS (HB)
OPERATOR THEORY
OPERATOR THEORY
OPERATOR THEORY (HB)
OPERATOR THEORY, SYSTEM THEORY AND RELATED TOPICS (HB)
OPERATOR THEORY, SYSTEM THEORY AND RELATED TOPICS (PB)
OPERATOR THEORY, SYSTEMS THEORY AND SCATTERING THEORY: MULTIDIMENSIONAL GENERALIZATIONS (HB)
QUATERNIONIC DE BRANGES SPACES AND CHARACTERISTIC OPERATOR FUNCTION
QUATERNIONIC HILBERT SPACES AND SLICE HYPERHOLOMORPHIC FUNCTIONS (HB)
RECENT ADVANCES IN INVERSE SCATTERING, SCHUR ANALYSIS AND STOCHASTIC PROCESSES (HB)
RECENT ADVANCES IN INVERSE SCATTERING, SCHUR ANALYSIS AND STOCHASTIC PROCESSES (PB)
REPRODUCING KERNEL SPACES AND APPLICATIONS (HB)
REPRODUCING KERNEL SPACES AND APPLICATIONS (PB)
REPRODUCING KERNELS AND THEIR APPLICATIONS (HB)
REPRODUCING KERNELS AND THEIR APPLICATIONS (PB)
SCHUR FUNCTIONS, OPERATOR COLLIGATIONS AND REPRODUCING KERNEL PONTRYAGIN SPACES (HB)
SCHUR FUNCTIONS, OPERATOR COLLIGATIONS, AND REPRODUCING KERNEL PONTRYAGIN SPACES (PB)
SLICE HYPERHOLOMORPHIC SCHUR ANALYSIS (HB)
SLICE HYPERHOLOMORPHIC SCHUR ANALYSIS (PB)
SYSTEM THEORY, THE SCHUR ALGORITHM AND MULTIDIMENSIONAL ANALYSIS (HB)
THE SCHUR ALGORITHM, REPRODUCING KERNEL SPACES AND SYSTEM THEORY (PB)
THE STATE SPACE METHOD (HB)
WAVELETS, MULTISCALE SYSTEMS AND HYPERCOMPLEX ANALYSIS (HB)

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