Harmonic Functions and Random Walks on Groups, Ariel Yadin

Автор: Christensen
Название: Functions, spaces, and expansions
ISBN: 0817649794 ISBN-13(EAN): 9780817649791
Издательство: Springer
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Цена: 65210.00 T
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Описание: This text presents a detailed exposition of key mathematical tools in analysis. Each topic covered was chosen because it plays a role beyond the field of pure mathematics, so the text is useful in exploring the computational areas of physics and engineering.

Автор: Freeden
Название: Special Functions of Mathematical (Geo-)Physics
ISBN: 3034805624 ISBN-13(EAN): 9783034805629
Издательство: Springer
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Цена: 111790.00 T
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Описание: The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field).

Автор: Willi Freeden; Martin Gutting
Название: Special Functions of Mathematical (Geo-)Physics
ISBN: 3034807740 ISBN-13(EAN): 9783034807746
Издательство: Springer
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Цена: 93160.00 T
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Описание: The topics covered in this inclusive text on geomathematics vary according to their measurement parameters and field characteristics, combining to provide mathematicians, physicists, and geoscientists with a potent special functions toolkit in problem-solving.

Автор: Constantine Georgakis; Alexander M. Stokolos; Wilf
Название: Special Functions, Partial Differential Equations, and Harmonic Analysis
ISBN: 3319379828 ISBN-13(EAN): 9783319379821
Издательство: Springer
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Цена: 111790.00 T
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Описание: Calderon by his friends, colleagues, and students is intended to make the mathematical community aware of his important scholarly and research contributions in contemporary Harmonic Analysis and Mathematical Models applied to Biology and Medicine, and to stimulate further research in the future in this area of pure and applied mathematics.

Автор: C. van den Berg; J. P. R. Christensen; P. Ressel
Название: Harmonic Analysis on Semigroups
ISBN: 0387909257 ISBN-13(EAN): 9780387909257
Издательство: Springer
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Цена: 55850.00 T
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Описание: All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk" is positive definite for all finite choices of elements St, .

Автор: Bent Fuglede
Название: Finely Harmonic Functions
ISBN: 3540060057 ISBN-13(EAN): 9783540060055
Издательство: Springer
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Цена: 23250.00 T
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Автор: Rodrigo Banuelos; Charles N. Moore
Название: Probabilistic Behavior of Harmonic Functions
ISBN: 3034897456 ISBN-13(EAN): 9783034897457
Издательство: Springer
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Цена: 46570.00 T
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Автор: R. Cooke; V.P. Havin; V.S. Buslaev; V.P. Havin; N.
Название: Commutative Harmonic Analysis III
ISBN: 3642633803 ISBN-13(EAN): 9783642633805
Издательство: Springer
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Цена: 46570.00 T
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Описание: Aimed at readers who have learned the principles of harmonic analysis, this book provides a variety of perspectives on this very important classical subject. The authors have written a truly outstanding book which distinguishes itself by its excellent expository style.

Автор: Elijah Liflyand
Название: Functions of Bounded Variation and Their Fourier Transforms
ISBN: 3030044289 ISBN-13(EAN): 9783030044282
Издательство: Springer
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Цена: 79190.00 T
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Описание: Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform. This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series.

Автор: Ceccherini-Silberstein
Название: Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
ISBN: 1107627850 ISBN-13(EAN): 9781107627857
Издательство: Cambridge Academ
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Цена: 55970.00 T
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Описание: A self-contained treatment of the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The book functions as both a useful reference for researchers, and a graduate textbook with plenty of examples and several exercises.

Автор: Vakhtang Kokilashvili, Vakhtang Paatashvili
Название: Boundary Value Problems for Analytic & Harmonic Functions in Nonstandard Banach Function Spaces
ISBN: 1619423014 ISBN-13(EAN): 9781619423015
Издательство: Nova Science
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Цена: 141490.00 T
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Описание: Suitbale for researchers in BVPs of function theory and mathematical physics, this title presents the boundary value problems (BVPs) for analytic and harmonic functions in domains with non-smooth boundaries within the framework of non-standard Banach function spaces, namely, variable exponent Lebesgue spaces and grand Lebesgue spaces.

Автор: Weng, Lin (kyushu Univ, Japan)
Название: Zeta functions of reductive groups and their zeros
ISBN: 9813231521 ISBN-13(EAN): 9789813231528
Издательство: World Scientific Publishing
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Цена: 195360.00 T
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Описание:

This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology theory, and the analytic one, from Langlands' theory of Eisenstein systems and some techniques used in trace formula, respectively. Apparently different, they are unified via a Lafforgue type relation between Arthur's analytic truncations and parabolic reductions of Harder-Narasimhan and Atiyah-Bott. Dominated by the stability condition and/or the Lie structures embedded in, these zeta functions have a standard form of the functional equation, admit much more refined symmetric structures, and most surprisingly, satisfy a weak Riemann hypothesis. In addition, two levels of the distributions for their zeros are exposed, i.e. a classical one giving the Dirac symbol, and a secondary one conjecturally related to GUE.

This book is written not only for experts, but for graduate students as well. For example, it offers a summary of basic theories on Eisenstein series and stability of lattices and arithmetic principal torsors. The second part on rank two zeta functions can be used as an introduction course, containing a Siegel type treatment of cusps and fundamental domains, and an elementary approach to the trace formula involved. Being in the junctions of several branches and advanced topics of mathematics, these works are very complicated, the results are fundamental, and the theory exposes a fertile area for further research.