Verwandte Artikel zu Generalized Analytic Continuation. (University lecture...
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An attempt to generalize the classical Weierstrassian notion of analytic continuation. The authors juxtapose non-controversial mathematical results that before were widely scattered through the literature in an effort to do for generalized analytic continuation what G. H. Hardy did for divergent series. Chapters cover PoincarT's result, Borel series, Goncar continuation, pseudocontinuation, continuation involving almost periodic functions, and continuation by formal multiplication of series. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Generalized Analytic Continuation
Verlag:
Amer Mathematical Society, 2002
ISBN 10: 0821831755
ISBN 13: 9780821831755
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Generalized analytic continuation. University lecture series; Bd. Volume 25.
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Providence, American Mathematical Society, 2002
ISBN 10: 0821831755
ISBN 13: 9780821831755
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Softcover. Zustand: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02995 9780821831755 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2488889
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Generalized Analytic Continuation
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Generalized Analytic Continuation
Verlag:
American Mathematical Society, US, 2002
ISBN 10: 0821831755
ISBN 13: 9780821831755
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Paperback. Zustand: New. The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the book. This book addresses the following questions: when can we say, in some reasonable way, that component functions of a meromorphic function on a disconnected domain, are 'continuations' of each other? What role do such 'continuations' play in certain aspects of approximation theory and operator theory? The authors use the strong analogy with the summability of divergent series to motivate the subject. In this vein, for instance, theorems can be described as being 'Abelian' or 'Tauberian'. The introductory overview carefully explains the history and context of the theory.The authors begin with a review of the works of Poincare, Borel, Wolff, Walsh, and Goncar, on continuation properties of 'Borel series' and other meromorphic functions that are limits of rapidly convergent sequences of rational functions. They then move on to the work of Tumarkin, who looked at the continuation properties of functions in the classical Hardy space of the disk in terms of the concept of 'pseudocontinuation'. Tumarkin's work was seen in a different light by Douglas, Shapiro, and Shields in their discovery of a characterization of the cyclic vectors for the backward shift operator on the Hardy space.The authors cover this important concept of 'pseudocontinuation' quite thoroughly since it appears in many areas of analysis. They also add a new and previously unpublished method of 'continuation' to the list, based on formal multiplication of trigonometric series, which can be used to examine the backward shift operator on many spaces of analytic functions. The book attempts to unify the various types of 'continuations' and suggests some interesting open questions. Bestandsnummer des Verkäufers LU-9780821831755
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Generalized Analytic Continuation
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American Mathematical Society, 2002
ISBN 10: 0821831755
ISBN 13: 9780821831755
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Zustand: New. The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This book addresses the following question: when can we say that component functions of a meromorphic function on a disconnected domain, are 'continuations' of each other? Series: University Lecture Series. Num Pages: 149 pages, bibliography, index. BIC Classification: PBKD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 248 x 178. Weight in Grams: 312. . 2002. Paperback. . . . . Bestandsnummer des Verkäufers V9780821831755
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Generalized Analytic Continuation
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American Mathematical Society, 2002
ISBN 10: 0821831755
ISBN 13: 9780821831755
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Zustand: New. The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This book addresses the following question: when can we say that component functions of a meromorphic function on a disconnected domain, are 'continuations' of each other? Series: University Lecture Series. Num Pages: 149 pages, bibliography, index. BIC Classification: PBKD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 248 x 178. Weight in Grams: 312. . 2002. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821831755
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Generalized Analytic Continuation
Verlag:
American Mathematical Society, US, 2002
ISBN 10: 0821831755
ISBN 13: 9780821831755
Neu
Paperback
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: New. The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the book. This book addresses the following questions: when can we say, in some reasonable way, that component functions of a meromorphic function on a disconnected domain, are 'continuations' of each other? What role do such 'continuations' play in certain aspects of approximation theory and operator theory? The authors use the strong analogy with the summability of divergent series to motivate the subject. In this vein, for instance, theorems can be described as being 'Abelian' or 'Tauberian'. The introductory overview carefully explains the history and context of the theory.The authors begin with a review of the works of Poincare, Borel, Wolff, Walsh, and Goncar, on continuation properties of 'Borel series' and other meromorphic functions that are limits of rapidly convergent sequences of rational functions. They then move on to the work of Tumarkin, who looked at the continuation properties of functions in the classical Hardy space of the disk in terms of the concept of 'pseudocontinuation'. Tumarkin's work was seen in a different light by Douglas, Shapiro, and Shields in their discovery of a characterization of the cyclic vectors for the backward shift operator on the Hardy space.The authors cover this important concept of 'pseudocontinuation' quite thoroughly since it appears in many areas of analysis. They also add a new and previously unpublished method of 'continuation' to the list, based on formal multiplication of trigonometric series, which can be used to examine the backward shift operator on many spaces of analytic functions. The book attempts to unify the various types of 'continuations' and suggests some interesting open questions. Bestandsnummer des Verkäufers LU-9780821831755
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