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Integration in Hilbert Space
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Integration in Hilbert Space . Ergebnisse der mathematik und Ihrer Grenzgebiete Band 79
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Hardcover. Zustand: Good. Bestandsnummer des Verkäufers mon0004235895
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INTEGRATION IN HILBERT SPACE. Ergebnisse der Mathematik und ihrer Grenzgebiete - Band 79 (series). [English language translation of "Integrirovanie v gil'bertovykh prostranstvakh."]
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New York, Heidelberg, Berlin: Springer-Verlag, 1974., 1974
ISBN 10: 0387063226
ISBN 13: 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. Bestandsnummer des Verkäufers Z626X-4757
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