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A survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure of the space of closed Riemann surfaces; Complex... Læs mere
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Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying... Læs mere
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Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying... Læs mere
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This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis... Læs mere
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Shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. This title presents the theory of Hermitean operators and Hilbert spaces.
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A study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers.
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Presents a treatment of basic topics that arise in Fourier analysis. This title illustrates the role played by the structure of... Læs mere
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Focuses on the difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into... Læs mere
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This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for... Læs mere
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The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable... Læs mere
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In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures.... Læs mere
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Reciprocity laws of various kinds play a central role in number theory. This book states several reciprocity laws in terms of... Læs mere