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Gaussian processes, function theory, and the inverse spectral problem (Probability and mathematical statistics ; v. 31) - Hardcover

 
9780122264603: Gaussian processes, function theory, and the inverse spectral problem (Probability and mathematical statistics ; v. 31)

Synopsis

This book deals with the relation between the past and the future of a real, one-dimensional, stationary Gaussian process. Kolmogorov and Wiener showed how best to predict the future knowing the whole past. The more difficult problem, when only a finite segment of the past is known, was solved by M. G. Krein. A full treatment of this problem, and the prerequisites for dealing with it, occupies most of the book. The first three chapters are devoted to the necessary background in function theory, Hardy spaces and probability. Later chapters introduce the spectral theory of a weighted string developed by Krein and certain Hilbert spaces of entire functions introduced by  L. de Branges. Various other connections between past and future are considered, such as mixing and Markovian character. The final chapter treats the problem of interpolation, when the whole process is known except for a gap and it is desired to predict what happens there.

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  • PublisherAcademic Press Inc
  • Publication date1976
  • ISBN 10 0122264606
  • ISBN 13 9780122264603
  • BindingHardcover
  • LanguageEnglish
  • Number of pages333

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9780486462790: Gaussian Processes, Function Theory, and the Inverse Spectral Problem (Dover Books on Mathematics)

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ISBN 10:  048646279X ISBN 13:  9780486462790
Publisher: Dover Publications, 2008
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H. Dym, H.P. McKean
Published by Academic Press Inc, 1976
ISBN 10: 0122264606 ISBN 13: 9780122264603
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Condition: Good. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: NONE ] [ Edition: First ] Publisher: Academic Press Pub Date: 1/1/1976 Binding: Hardcover Pages: 335 First edition. Seller Inventory # 6640311

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Dym, H.
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ISBN 10: 0122264606 ISBN 13: 9780122264603
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Condition: Fair. Volume 31. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:0122264606. Seller Inventory # 9786202

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Dym, H.
Published by Academic Press Inc, 1976
ISBN 10: 0122264606 ISBN 13: 9780122264603
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Condition: Fair. Volume 31. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:0122264606. Seller Inventory # 9981902

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Dym, H.; McKean, Henry P.
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gebundene Ausgabe. Aus der Reihe: Probability and Mathematical Statistics, Volume 31. Zust: Gutes Exemplar. Ohne Schutzumschlag. XI, 333 Seiten, Englisch 598g. Seller Inventory # 493373

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Hardcover. Condition: Good. Good. book. Seller Inventory # D8S0-3-M-0122264606-4

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