Geometric and Harmonic Analysis on Homogeneous Spaces, Ali Baklouti; Takaaki Nomura

Автор: J.-A. Chao; W.A. Woyczynski
Название: Martingale Theory in Harmonic Analysis and Banach Spaces
ISBN: 3540115692 ISBN-13(EAN): 9783540115694
Издательство: Springer
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Цена: 32560.00 T
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Автор: Carlos A. Berenstein; Roger Gay
Название: Complex Analysis and Special Topics in Harmonic Analysis
ISBN: 1461384478 ISBN-13(EAN): 9781461384472
Издательство: Springer
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Цена: 97820.00 T
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Описание: A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy-Riemann equation plays in modern complex analysis. the G transform and the unifying role it plays in complex analysis and transcendental number theory;

Автор: Ali Baklouti; Takaaki Nomura
Название: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
ISBN: 3319651803 ISBN-13(EAN): 9783319651804
Издательство: Springer
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Цена: 102480.00 T
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Описание: It also includes the most recent developments on other areas of mathematics including algebra and geometry.Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces form a significant and important area of mathematical research.

Автор: Ruzhansky Michael, Suragan Durvudkhan
Название: Hardy Inequalities on Homogeneous Groups: 100 Years of Hardy Inequalities
ISBN: 3030028941 ISBN-13(EAN): 9783030028947
Издательство: Springer
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Цена: 46570.00 T
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Описание: This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general H?rmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.

Автор: Frank D. Grosshans
Название: Algebraic Homogeneous Spaces and Invariant Theory
ISBN: 3540636285 ISBN-13(EAN): 9783540636281
Издательство: Springer
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Цена: 32600.00 T
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Описание: A review of algebraic homogenous spaces and invariant theory, this work includes examination of observable subgroups, the transfer principle, and invariants of maximal unipotent subgroups.

Автор: Evgueni A. Tevelev
Название: Projective Duality and Homogeneous Spaces
ISBN: 3642061729 ISBN-13(EAN): 9783642061721
Издательство: Springer
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Цена: 130430.00 T
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Описание: Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature.

Автор: Giovanni Calvaruso; Marco Castrill?n L?pez
Название: Pseudo-Riemannian Homogeneous Structures
ISBN: 3030181510 ISBN-13(EAN): 9783030181512
Издательство: Springer
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Цена: 83850.00 T
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Описание: This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces. Benefiting from large symmetry groups, these spaces are of high interest in Geometry and Theoretical Physics.Since the seminal book by Tricerri and Vanhecke, the theory of homogeneous structures has been considerably developed and many applications have been found. The present work covers a gap in the literature of more than 35 years, presenting the latest contributions to the field in a modern geometric approach, with special focus on manifolds equipped with pseudo-Riemannian metrics.This unique reference on the topic will be of interest to researchers working in areas of mathematics where homogeneous spaces play an important role, such as Differential Geometry, Global Analysis, General Relativity, and Particle Physics.

Автор: Yichao Xu
Название: Theory of Complex Homogeneous Bounded Domains
ISBN: 9048165962 ISBN-13(EAN): 9789048165964
Издательство: Springer
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Цена: 81050.00 T
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Описание: This book is the first to systematically explore the classification and function theory of complex homogeneous bounded domains. Using the normal Siegel domains to realize the homogeneous bounded domains, we can obtain more property of the geometry and the function theory on homogeneous bounded domains.

Автор: Menshikov
Название: Non-homogeneous Random Walks
ISBN: 1107026695 ISBN-13(EAN): 9781107026698
Издательство: Cambridge Academ
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Цена: 142560.00 T
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Описание: A modern presentation of the `Lyapunov function` method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks. Aimed at researchers and research students in probability theory or a neighbouring field, the material will be accessible to anyone with some familiarity with the theory of Markov chains and discrete-time martingales.

Автор: J?rg Winkelmann
Название: The Classification of Three-dimensional Homogeneous Complex Manifolds
ISBN: 3540590722 ISBN-13(EAN): 9783540590729
Издательство: Springer
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Цена: 41920.00 T
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Описание: This monograph provides classifications of all three-dimensional complex manifolds for which a transitive action of a Lie group exists. The classifications are based on methods from Lie group theory, complex analysis and algebraic geometry.

Автор: R. C. Blei; S. J. Sidney
Название: Banach Spaces, Harmonic Analysis, and Probability Theory
ISBN: 3540123148 ISBN-13(EAN): 9783540123149
Издательство: Springer
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Цена: 23250.00 T
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Автор: Audrey Terras
Название: Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincar? Upper Half-Plane
ISBN: 1461479711 ISBN-13(EAN): 9781461479710
Издательство: Springer
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Цена: 55890.00 T
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Описание: This book offers an introduction to harmonic analysis on the simplest symmetric spaces. It places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering.