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US$ 66.93
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An Introduction to Operators on the Hardy-Hilbert Space (Paperback)
Published by Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 1441922539 ISBN 13: 9781441922533
Language: English
First Edition
Paperback. Condition: new. Paperback. 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 partofclassicalmathematics. ThetheoryofHilbertspacesandofoperatorson themisalmostasclassicalandisperhapsasbeautifulascomplexanalysis. The studyoftheHardyHilbertspace(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 HardyHilbert 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 HardyHilbert 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 HardyHilbert space is the most natural way of deriving many of the properties of classical Toeplitz mat- ces (e. g. , Theorem 3. 3. For example, very elementary concepts from Hilbert space provide simple proofs of the Poisson integral (Theorem 1. The fundamental theorem about zeros of fu- tions in the HardyHilbert space (Corollary 2. The HardyHilbert space context is necessary to understand the structure of the invariant subspaces of the unilateral shift (Theorem 2. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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An Introduction to Operators on the Hardy-Hilbert Space (Graduate Texts in Mathematics, 237)
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An Introduction to Operators on the Hardy-Hilbert Space (Graduate Texts in Mathematics, Vol. 237) (Graduate Texts in Mathematics, 237)
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An Introduction to Operators on the Hardy-Hilbert Space
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Introduction to Operators on the Hardy-hilbert Space
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Introduction to Operators on the Hardy-hilbert Space
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Add to basketGebunden. Condition: New. More elementary than the competitionContains clear and beautiful proofsHas been class-tested a number of timesMore elementary than the competitionContains clear and beautiful proofsHas been class-tested a number of .
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An Introduction to Operators on the Hardy-Hilbert Space (Paperback)
Published by Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 1441922539 ISBN 13: 9781441922533
Language: English
First Edition
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Add to basketPaperback. Condition: new. Paperback. 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 partofclassicalmathematics. ThetheoryofHilbertspacesandofoperatorson themisalmostasclassicalandisperhapsasbeautifulascomplexanalysis. The studyoftheHardyHilbertspace(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 HardyHilbert 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 HardyHilbert 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 HardyHilbert space is the most natural way of deriving many of the properties of classical Toeplitz mat- ces (e. g. , Theorem 3. 3. For example, very elementary concepts from Hilbert space provide simple proofs of the Poisson integral (Theorem 1. The fundamental theorem about zeros of fu- tions in the HardyHilbert space (Corollary 2. The HardyHilbert space context is necessary to understand the structure of the invariant subspaces of the unilateral shift (Theorem 2. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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An Introduction to Operators on the Hardy-Hilbert Space
Published by Springer New York Dez 2006, 2006
ISBN 10: 0387354182 ISBN 13: 9780387354187
Language: English
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Add to basketBuch. Condition: Neu. Neuware - 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 partofclassicalmathematics. 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.
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Add to basketCondition: 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.
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An Introduction to Operators on the Hardy-Hilbert Space
Published by Springer-Verlag New York Inc., 2006
ISBN 10: 0387354182 ISBN 13: 9780387354187
Language: English
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Add to basketCondition: New. PRINT ON DEMAND pp. 236.
