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| Título | An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions. - First edition 2015.Libro Electrónico / En Línea - Libro
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| Parte de | Springer eBooks 2015: Colección 2015
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| Autor(es) | Alpay, Daniel (Autor)
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| Publicación | Cham, 2015.
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| Descripción Física | 1 recurso en línea : online resource
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| Idioma | Ingles; |
| ISBN | 9783319160597
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| Clasificación(es) | 515.7
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| Materia(s) | Mathematics;
Functional analysis;
Operator Theory;
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| Nota(s) | Prologue -- Part I, Analytic functions -- 1 Some algebra -- 2 Exercises in complex variables -- Part II, Topology and functional analysis -- 3 Topological spaces -- 4 Normed spaces -- 5 Locally convex topological vector spaces -- 6 Some functional analysis -- Part III, Hilbert spaces of analytic functions -- 7 Reproducing kernel Hilbert spaces -- 8 Hardy spaces -- 9 de Branges-Rovnyak spaces -- 10 Bergman spaces -- 11 Fock spaces -- Index -- Name index -- Notation index
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| Resumen | This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied
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| Objetos Asociados | http://dx.doi.org/10.1007/978-3-319-16059-7
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| Ver en otras Bibliotecas | Catálogo Mundial - WorldCat
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| Ver en Google Books | Google Books
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| Número Accesos | 1
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