Toeplitz Forms and Their Applications (AMS Chelsea Publishing)

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9780821828441: Toeplitz Forms and Their Applications (AMS Chelsea Publishing)
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From the Preface (1955): The first part of the present exposition is devoted to the theory of Toeplitz forms. The second part deals with applications, in particular to the calculus of probability and mathematical statistics. Neither part claims completeness in any way. Our purpose has been to elucidate the principal ideas of this remarkable chapter of modern analysis and to help the interested student of mathematical statistics to acquire a working knowledge of the subject. The somewhat protracted Chapter 1 explains not only the notation employed but contains also the definition of important auxiliary concepts and the exposition of basic results which will be used later. This arrangement avoids interruptions in the main text ... [It is assumed] that the reader is in possession of the fundamental facts of the theory of functions.``In chapters 2 and 3 certain topics appear which were treated in the book on orthogonal polynomials by G. Szego. In view of the progress made in this subject since the publication of that book (1939) it was possible to bring some details in an improved setting. The other chapters contain partly old and partly more recent results, some older facts in a new setting, and finally some completely new results. Chapter 1-6 and Chapter 9 have been prepared by Szego, the other chapters by Grenander ... ''

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Ulf Grenander, Gabor Szegö
Publicado por American Mathematical Society, United States (2001)
ISBN 10: 0821828444 ISBN 13: 9780821828441
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Descripción American Mathematical Society, United States, 2001. Hardback. Condición: New. Language: English . Brand New Book. From the Preface (1955): The first part of the present exposition is devoted to the theory of Toeplitz forms. The second part deals with applications, in particular to the calculus of probability and mathematical statistics. Neither part claims completeness in any way. Our purpose has been to elucidate the principal ideas of this remarkable chapter of modern analysis and to help the interested student of mathematical statistics to acquire a working knowledge of the subject. The somewhat protracted Chapter 1 explains not only the notation employed but contains also the definition of important auxiliary concepts and the exposition of basic results which will be used later.This arrangement avoids interruptions in the main text.[It is assumed] that the reader is in possession of the fundamental facts of the theory of functions. In chapters 2 and 3 certain topics appear which were treated in the book on orthogonal polynomials by G. Szego. In view of the progress made in this subject since the publication of that book (1939) it was possible to bring some details in an improved setting. The other chapters contain partly old and partly more recent results, some older facts in a new setting, and finally some completely new results. Chapter 1-6 and Chapter 9 have been prepared by Szego, the other chapters by Grenander. . Nº de ref. del artículo: AAN9780821828441

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Ulf Grenander
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Descripción American Mathematical Society, 2001. HRD. Condición: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. del artículo: CE-9780821828441

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Descripción American Mathematical Society. Hardcover. Condición: New. New copy - Usually dispatched within 2 working days. Nº de ref. del artículo: B9780821828441

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Ulf Grenander, Gabor Szegö
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Descripción American Mathematical Society, United States, 2001. Hardback. Condición: New. Language: English . Brand New Book. From the Preface (1955): The first part of the present exposition is devoted to the theory of Toeplitz forms. The second part deals with applications, in particular to the calculus of probability and mathematical statistics. Neither part claims completeness in any way. Our purpose has been to elucidate the principal ideas of this remarkable chapter of modern analysis and to help the interested student of mathematical statistics to acquire a working knowledge of the subject. The somewhat protracted Chapter 1 explains not only the notation employed but contains also the definition of important auxiliary concepts and the exposition of basic results which will be used later.This arrangement avoids interruptions in the main text.[It is assumed] that the reader is in possession of the fundamental facts of the theory of functions. In chapters 2 and 3 certain topics appear which were treated in the book on orthogonal polynomials by G. Szego. In view of the progress made in this subject since the publication of that book (1939) it was possible to bring some details in an improved setting. The other chapters contain partly old and partly more recent results, some older facts in a new setting, and finally some completely new results. Chapter 1-6 and Chapter 9 have been prepared by Szego, the other chapters by Grenander. . Nº de ref. del artículo: AAN9780821828441

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Grenander Szego
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Descripción American Mathematical Society, 2001. Hardcover. Condición: Brand New. 2nd (textually unaltered) ed edition. 245 pages. 9.21x6.22x0.55 inches. In Stock. Nº de ref. del artículo: __0821828444

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Ulf Grenander
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Descripción American Mathematical Society, 2001. Hardcover. Condición: New. Never used!. Nº de ref. del artículo: P110821828444

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Ulf Grenander
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Descripción American Mathematical Society, 2001. Hardcover. Condición: New. 2nd (textually unaltered) ed. Nº de ref. del artículo: DADAX0821828444

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