This book describes the interplay between orthonormal expansions and Banach space geometry.
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Zustand: New. This book describes the interplay between orthonormal expansions and Banach space geometry. Series Editor(s): Rota, G.-C.; Doran, B.; Ismail, M.; Lam, T. Y.; Wutwak, E.; Flajolet, Philippe; Lutwak, E. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 564 pages, 11 b/w illus. 11 tables. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 32. Weight in Grams: 960. . 1998. hardcover. . . . . Bestandsnummer des Verkäufers V9780521624626
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry and yields a detailed insight into type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier tr. Bestandsnummer des Verkäufers 446942815
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Hardcover. Zustand: new. Hardcover. Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra. Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry and yields a detailed insight into type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Bestandsnummer des Verkäufers 9780521624626
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