PGL2 over the p-adics. Its Representations, Spherical Functions, and Fourier Analysis, Allan J. Silberger

Автор: Simon Hubbert; Qu?c Th?ng Le Gia; Tanya M. Morton
Название: Spherical Radial Basis Functions, Theory and Applications
ISBN: 3319179381 ISBN-13(EAN): 9783319179384
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book is the first to be devoted to the theory and applications of spherical (radial) basis functions (SBFs), which is rapidly emerging as one of the most promising techniques for solving problems where approximations are needed on the surface of a sphere.

Автор: Ramesh Gangolli; Veeravalli S. Varadarajan
Название: Harmonic Analysis of Spherical Functions on Real Reductive Groups
ISBN: 3642729584 ISBN-13(EAN): 9783642729584
Издательство: Springer
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Цена: 74490.00 T
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Автор: Bien Frederic V.
Название: D-Modules and Spherical Representations. (MN-39):
ISBN: 0691608326 ISBN-13(EAN): 9780691608327
Издательство: Wiley
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Цена: 25350.00 T
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Описание:

The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations of Lie groups. By considering D-modules on flag varieties, one obtains a simple classification of all irreducible admissible representations of reductive Lie groups. On the other hand, it is natural to study the representations realized by functions on pseudo-Riemannian symmetric spaces, i.e., spherical representations. The problem is then to describe the spherical representations among all irreducible ones, and to compute their multiplicities. This is the goal of this work, achieved fairly completely at least for the discrete series representations of reductive symmetric spaces. The book provides a general introduction to the theory of D-modules on flag varieties, and it describes spherical D-modules in terms of a cohomological formula. Using microlocalization of representations, the author derives a criterion for irreducibility. The relation between multiplicities and singularities is also discussed at length.

Originally published in 1990.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Автор: Reinhardt Kiehl; Rainer Weissauer
Название: Weil Conjectures, Perverse Sheaves and l`adic Fourier Transform
ISBN: 3642074723 ISBN-13(EAN): 9783642074721
Издательство: Springer
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Цена: 130430.00 T
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Описание: In this book the authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II." The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.

Автор: Willi Freeden; Michael Schreiner
Название: Spherical Functions of Mathematical Geosciences
ISBN: 3540851119 ISBN-13(EAN): 9783540851110
Издательство: Springer
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Цена: 243800.00 T
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Описание: Collects the material developed by the Geomathematics Group, TU Kaiserslautern, to set up a theory of spherical functions of mathematical (geo-)physics. This work provides the palette of spherical (trial) functions for modeling and simulating phenomena and processes of the Earth system.

Автор: Claus M?ller
Название: Analysis of Spherical Symmetries in Euclidean Spaces
ISBN: 0387949496 ISBN-13(EAN): 9780387949499
Издательство: Springer
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Цена: 144410.00 T
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Описание: Offers a fresh and direct approach to the theories of special functions with emphasis on spherical symmetry in Euclidean spaces of arbitrary dimensions. This work uses elementary concepts to present the spherical harmonics in a theory of invariants of the orthogonal group. It is particularly important for the complexification of the Funk-Hecke.

Автор: Claus M?ller
Название: Analysis of Spherical Symmetries in Euclidean Spaces
ISBN: 1461268273 ISBN-13(EAN): 9781461268277
Издательство: Springer
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Цена: 46570.00 T
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Описание: This self-contained book offers a new and direct approach to the theories of special functions with emphasis on spherical symmetry in Euclidean spaces of arbitrary dimensions.

Автор: Roald M. Trigub; Eduard S. Belinsky
Название: Fourier Analysis and Approximation of Functions
ISBN: 9048166411 ISBN-13(EAN): 9789048166411
Издательство: Springer
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Цена: 93160.00 T
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Автор: Michael Oberguggenberger; Joachim Toft; Jasson Vin
Название: Generalized Functions and Fourier Analysis
ISBN: 3319519107 ISBN-13(EAN): 9783319519104
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis.

Автор: Anders Vretblad
Название: Fourier Analysis and Its Applications
ISBN: 1441918418 ISBN-13(EAN): 9781441918413
Издательство: Springer
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Цена: 48400.00 T
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Описание: TheclassicaltheoryofFourierseriesandintegrals, aswellasLaplacetra- forms, is of great importance for physical and technical applications, and its mathematical beauty makes it an interesting study for pure mathema- cians as well. I have taught courses on these subjects for decades to civil engineeringstudents, andalsomathematicsmajors, andthepresentvolume can be regarded as my collected experiences from this work. There is, of course, an unsurpassable book on Fourier analysis, the tr- tise by Katznelson from 1970. That book is, however, aimed at mathem- ically very mature students and can hardly be used in engineering courses. Ontheotherendofthescale, thereareanumberofmore-or-lesscookbo- styled books, where the emphasis is almost entirely on applications. I have felt the need for an alternative in between these extremes: a text for the ambitious and interested student, who on the other hand does not aspire to become an expert in the ?eld. There do exist a few texts that ful?ll these requirements (see the literature list at the end of the book), but they do not include all the topics I like to cover in my courses, such as Laplace transforms and the simplest facts about distributi

Автор: J.S. Byrnes
Название: Recent Advances in Fourier Analysis and Its Applications
ISBN: 9401067848 ISBN-13(EAN): 9789401067843
Издательство: Springer
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Цена: 81050.00 T
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Описание: Proceedings of the NATO Advanced Study Institute on Fourier Analysis and its Applications, Il Ciocco, Italy, July 16-29, 1989

Автор: Yuan Dong
Название: Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems
ISBN: 3662484838 ISBN-13(EAN): 9783662484838
Издательство: Springer
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Цена: 102480.00 T
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Описание: This thesis studies the general heat conduction law, irreversible thermodynamics and the size effect of thermal conductivity exhibited in nanosystems from the perspective of recently developed thermomass theory.