9781441922533 - an Introduction to Operators on the Hardy-hilbert Space (graduate Texts in Mathematics, 237) by Martinez-avendano, Ruben A. A.; Rosenthal, Peter (12 results)
Language: English
Published by Springer 2010-11 2010
Series: Graduate Texts in Mathematics, Book 47 of 180. Book 47 of 180 - Graduate Texts in Mathematics
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Published by Springer 2010
Series: Graduate Texts in Mathematics, Book 47 of 180. Book 47 of 180 - Graduate Texts in Mathematics
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Published by Springer 2010
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Published by Springer New York 2006
Series: Graduate Texts in Mathematics, Book 47 of 180. Book 47 of 180 - Graduate Texts in Mathematics
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Series: Graduate Texts in Mathematics, Book 47 of 180. Book 47 of 180 - Graduate Texts in Mathematics
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The great mathematician G. H. Hardy told us that 'Beauty is the rst test: there is no permanent place in the world for ugly mathematics' (see [24, p. 85]). It is clear why Hardy loved complex analysis: it is a very beautiful partofclassicalmathemat…ics. ThetheoryofHilbertspacesandofoperatorson themisalmostasclassicalandisperhapsasbeautifulascomplexanalysis. The studyoftheHardy-Hilbertspace(aHilbertspacewhoseelementsareanalytic functions), and of operators on that space, combines these two subjects. The interplay produces a number of extraordinarily elegant results. For example, very elementary concepts from Hilbert space provide simple proofs of the Poisson integral (Theorem 1. 1. 21 below) and Cauchy integral (Theorem 1. 1. 19) formulas. The fundamental theorem about zeros of fu- tions in the Hardy-Hilbert space (Corollary 2. 4. 10) is the central ingredient of a beautiful proof that every continuous function on [0,1] can be uniformly approximated by polynomials with prime exponents (Corollary 2. 5. 3). The Hardy-Hilbert space context is necessary to understand the structure of the invariant subspaces of the unilateral shift (Theorem 2. 2. 12). Conversely, pr- erties of the unilateral shift operator are useful in obtaining results on f- torizations of analytic functions (e. g. , Theorem 2. 3. 4) and on other aspects of analytic functions (e. g. , Theorem 2. 3. 3). The study of Toeplitz operators on the Hardy-Hilbert space is the most natural way of deriving many of the properties of classical Toeplitz mat- ces (e. g. , Theorem 3. 3.
Language: English
Published by Springer 2010
Series: Graduate Texts in Mathematics, Book 47 of 180. Book 47 of 180 - Graduate Texts in Mathematics
- Softcover
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Taschenbuch. Condition: Neu. An Introduction to Operators on the Hardy-Hilbert Space | Ruben A. Martinez-Avendano (u. a.) | Taschenbuch | Graduate Texts in Mathematics | xii | Englisch | 2010 | Springer | EAN 9781441922533 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot…]hartmann[at]springer[dot]com | Anbieter: preigu.
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Published by Springer 2010
Series: Graduate Texts in Mathematics, Book 47 of 180. Book 47 of 180 - Graduate Texts in Mathematics
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Published by Springer New York Nov 2010 2010
Series: Graduate Texts in Mathematics, Book 47 of 180. Book 47 of 180 - Graduate Texts in Mathematics
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book offers an elementary and engaging introduction to operator theory on the Hardy-Hilbert space. It provides a firm foundation for the study of all spaces of analytic functions and of the operators on them. Blending technique…s from 'soft' and 'hard' analysis, the book contains clear and beautiful proofs. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering. 236 pp. Englisch.
Language: English
Published by Springer 2010
Series: Graduate Texts in Mathematics, Book 47 of 180. Book 47 of 180 - Graduate Texts in Mathematics
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Condition: New. Print on Demand pp. xii + 220.
Language: English
Published by Springer 2010
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Condition: New. PRINT ON DEMAND pp. xii + 220.
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Published by Springer New York 2010
Series: Graduate Texts in Mathematics, Book 47 of 180. Book 47 of 180 - Graduate Texts in Mathematics
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. More elementary than the competitionContains clear and beautiful proofsHas been class-tested a number of timesThis book offers an elementary and engaging introduction to operator theory on the Hardy-Hilbert space. It…provides a f.
Language: English
Published by Springer, Springer Nov 2010 2010
Series: Graduate Texts in Mathematics, Book 47 of 180. Book 47 of 180 - Graduate Texts in Mathematics
- Softcover
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book offers an elementary and engaging introduction to operator theory on the Hardy-Hilbert space. It provides a firm foundation for the study of all spaces of analytic functions and of the operators on them. Blending techniques fr…om 'soft' and 'hard' analysis, the book contains clear and beautiful proofs. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 236 pp. Englisch.
