A complex analysis problem book

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 show the students some...

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Autor principal: Alpay, Daniel, 1956-
Format: Livre numérique
Idioma:Anglais
Publicat: Basel : Springer Basel 2011.
Cham : Springer Nature
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Nota: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• A complex analysis problem book, Daniel Alpay, 2011, Basel, Birkhäuser, Springer, 1 vol. (X-526 p.), 978-3-03-480077-8
• A Complex Analysis Problem Book, Texte imprimé, 9783034800792
Descripció
Sumari: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 show 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.
Descripció de l’ítem:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783034800785
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