Integration Hilbert Space (19 results)

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  • Language: English

    Published by Springer-Verlag, 1974

    0387063226 / 9780387063225

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    xii, 177, [3] pages. Hardcover: H 23.75cm x L 15.75cm. No dust jacket. Yellow cloth with touch of soiling. Interior pages are bright and clean. Binding retains some crispness. A near fine copy. Translated from the Russian by Kenneth Wickwire. With Author's Preface, Translator's Preface, Bibliographic Notes, Bibliography, and Index. Features twenty-eight sections within five chapters titled as follows: CHAPTER 1-DEFINITION OF A MEASURE IN HUBERT SPACE. #1-Measurable Hubert Spaces; #2-Weak Distributions; #3-The Characteristic Functional. Moment Functional; #4-The Minlos-Sazonov Theorem; #5-Gaussian Measures; #6-Generalized Measures in Hubert Space. CHAPTER 2-MEASURABLE FUNCTIONS ON HUBERT SPACE. #7-Measurable Linear Functional; #8-Measurable Linear Operators; #9. Measurable Polynomial Functions; #10-Square-integrable Polynomials; #11-Orthogonal Systems of Polynomials; #12-Polynomials Orthogonal with Respect to a Weight Function. CHAPTER 3-ABSOLUTE CONTINUITY OF MEASURES. #13-The Radon-Nikodym Theorem. Conditional Measures; #14-Martingales and Semi-Martingales; #15. General Conditions for Absolute Continuity; #16-Absolute Continuity of Product Measures; #17-Absolute Continuity of Gaussian Measures; #18-Absolute Continuity of Mixed Measures. CHAPTER 4-ADMISSIBLE SHIFTS AND QUASI-INVARIANT MEASURES. #19-Admissible Shifts of Measures; #20-Admissible Directions; #24-Differentiation of Measures w.r.t. a Direction; #22-An Admissibility Condition for Shifts; #23-Quasi-invariant Measures. CHAPTER 5-SOME QUESTIONS OF ANALYSIS IN HUBERT SPACE. #24-The Substitution Formula and Absolute Continuity; #25-Linear Transformations; #26-Absolute Continuity of Measures under Nonlinear Transformation; #27-Surface Integrals; and #28-Gauss' Formula. ISBN 0387063226.

  • Language: English

    Published by Springer, Berlin, 1974

    3540063226 / 9783540063223

    • Hardcover

    Seller: Antiquariat Renner OHG, Albstadt, GermanyAntiquariat Renner OHG

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    Hardcover. Condition: Gut. N.Y., Springer 1974. gr.8°. XII, 177 p. OCloth. (back slightly faded).- Ergebnisse der Mathematik und ihrer Grenzgebiete, 79.

  • Language: English

    Published by Berlin, Heidelberg, New York : Springer, 1974

    3540063226 / 9783540063223

    • Hardcover

    Seller: Antiquariat Im Baldreit, Baden-Baden, GermanyAntiquariat Im Baldreit

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    XII, 177 Seiten, Gutes Exemplar Sprache: Englisch 8°, gelbes O Ln mit Rückentitel.

  • Language: English

    Published by Springer, 2011

    364265634X / 9783642656347

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    Seller: Ria Christie Collections, Uxbridge, United KingdomRia Christie Collections

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    Condition: New. In English.

  • Language: English

    Published by Springer Berlin Heidelberg 1974-01-01, 1974

    364265634X / 9783642656347

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    Seller: Chiron Media, Wallingford, United KingdomChiron Media

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  • Published by Springer-Verlag 1974., 1974

    • Hardcover

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    XII, 177 pp. Publisher's cloth. A very good copy. (Ergebnisse der Mathematik und ihrer Grenzgebiete, 79.).

  • Language: English

    Published by Springer, 2011

    364265634X / 9783642656347

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    Condition: New. pp. 200.

  • Language: English

    Published by Springer-Verlag, 1974

    3540063226 / 9783540063223

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    Condition: Good. Volume 79. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:3540063226.

  • Language: English

    Published by Springer Berlin Heidelberg, 2011

    364265634X / 9783642656347

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    Seller: Revaluation Books, Exeter, United KingdomRevaluation Books

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    Paperback. Condition: Brand New. reprint edition. 192 pages. 5.91x5.67x0.02 inches. In Stock.

  • Language: English

    Published by Springer Berlin Heidelberg, 2011

    364265634X / 9783642656347

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  • Language: English

    Published by Springer, 2011

    364265634X / 9783642656347

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    Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Integration in function spaces arose in probability theory when a gen eral theory of random processes was constructed. Here credit is cer tainly due to N. Wiener, who constructed a measure in function space, integrals-with respect to which express the mean value of functionals of Brownian motion trajectories. Brownian trajectories had previously been considered as merely physical (rather than mathematical) phe nomena. A. N. Kolmogorov generalized Wiener's construction to allow one to establish the existence of a measure corresponding to an arbitrary random process. These investigations were the beginning of the development of the theory of stochastic processes. A considerable part of this theory involves the solution of problems in the theory of measures on function spaces in the specific language of stochastic pro cesses. For example, finding the properties of sample functions is connected with the problem of the existence of a measure on some space; certain problems in statisticsreduce to the calculation of the density of one measure w. r. t. another one, and the study of transformations of random processes leads to the study of transformations of function spaces with measure. One must note that the language of probability theory tends to obscure the results obtained in these areas for mathematicians working in other fields. Another dir,ection leading to the study of integrals in function space is the theory and application of differential equations. A. N.

  • Language: English

    Published by Springer, 2011

    364265634X / 9783642656347

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  • Language: English

    Published by Springer, 2011

    364265634X / 9783642656347

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    LeatherBound. Condition: New. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. LeatherBound edition. Condition: New. Reprinted from 1988 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Pages: 301 NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 301.

  • Language: English

    Published by Springer, Springer Nov 2011, 2011

    364265634X / 9783642656347

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    Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Integration in function spaces arose in probability theory when a gen eral theory of random processes was constructed. Here credit is cer tainly due to N. Wiener, who constructed a measure in function space, integrals-with respect to which express the mean value of functionals of Brownian motion trajectories. Brownian trajectories had previously been considered as merely physical (rather than mathematical) phe nomena. A. N. Kolmogorov generalized Wiener's construction to allow one to establish the existence of a measure corresponding to an arbitrary random process. These investigations were the beginning of the development of the theory of stochastic processes. A considerable part of this theory involves the solution of problems in the theory of measures on function spaces in the specific language of stochastic pro cesses. For example, finding the properties of sample functions is connected with the problem of the existence of a measure on some space; certain problems in statisticsreduce to the calculation of the density of one measure w. r. t. another one, and the study of transformations of random processes leads to the study of transformations of function spaces with measure. One must note that the language of probability theory tends to obscure the results obtained in these areas for mathematicians working in other fields. Another dir,ection leading to the study of integrals in function space is the theory and application of differential equations. A. N. 200 pp. Englisch.

  • Language: English

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    364265634X / 9783642656347

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    Condition: New. Print on Demand pp. 200 23:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on White w/Gloss Lam.

  • Language: English

    Published by Springer, 2011

    364265634X / 9783642656347

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    Condition: New. PRINT ON DEMAND pp. 200.

  • Language: English

    Published by Springer, Springer Vieweg Nov 2011, 2011

    364265634X / 9783642656347

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    Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Integration in function spaces arose in probability theory when a gen eral theory of random processes was constructed. Here credit is cer tainly due to N. Wiener, who constructed a measure in function space, integrals-with respect to which express the mean value of functionals of Brownian motion trajectories. Brownian trajectories had previously been considered as merely physical (rather than mathematical) phe nomena. A. N. Kolmogorov generalized Wiener's construction to allow one to establish the existence of a measure corresponding to an arbitrary random process. These investigations were the beginning of the development of the theory of stochastic processes. A considerable part of this theory involves the solution of problems in the theory of measures on function spaces in the specific language of stochastic pro cesses. For example, finding the properties of sample functions is connected with the problem of the existence of a measure on some space; certain problems in statisticsreduce to the calculation of the density of one measure w. r. t. another one, and the study of transformations of random processes leads to the study of transformations of function spaces with measure. One must note that the language of probability theory tends to obscure the results obtained in these areas for mathematicians working in other fields. Another dir,ection leading to the study of integrals in function space is the theory and application of differential equations. A. N.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 200 pp. Englisch.