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Singular Integrals in Quantum Euclidean Spaces, Adrian M. Gonzalez-Perez, Javier Parcet, Marius Junge


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Автор: Adrian M. Gonzalez-Perez, Javier Parcet, Marius Junge
Название:  Singular Integrals in Quantum Euclidean Spaces
ISBN: 9781470449377
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470449374
Обложка/Формат: Paperback
Вес: 0.20 кг.
Дата издания: 30.05.2022
Серия: Memoirs of the american mathematical society
Язык: English
Иллюстрации: Illustrations
Размер: 182 x 257 x 24
Ключевые слова: Calculus & mathematical analysis
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Поставляется из: Англии
Описание: We shall establish the core of singular integral theory and pseudodifferential calculus over the archetypal algebras of noncommutative geometry: quantum forms of Euclidean spaces and tori. Our results go beyond Connes pseudodifferential calculus for rotation algebras, thanks to a new form of Calder?on-Zygmund theory over these spaces which crucially incorporates nonconvolution kernels. We deduce Lp-boundedness and Sobolev p-estimates for regular, exotic and forbidden symbols in the expected ranks. In the L2 level both Calder?on-Vaillancourt and Bourdaud theorems for exotic and forbidden symbols are also generalized to the quantum setting. As a basic application of our methods, we prove Lp-regularity of solutions for elliptic PDEs.
Дополнительное описание: Calculus and mathematical analysis



Singular Integrals and Fourier Theory on Lipschitz Boundaries

Автор: Tao Qian; Pengtao Li
Название: Singular Integrals and Fourier Theory on Lipschitz Boundaries
ISBN: 9811364990 ISBN-13(EAN): 9789811364990
Издательство: Springer
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Цена: 11179.00 р.
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Описание: The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lipschitz curves and surfaces has an extensive background in harmonic analysis and partial differential equations. The book elaborates on the basic framework, the Fourier methodology, and the main results in various contexts, especially addressing the following topics: singular integral operators with holomorphic kernels, fractional integral and differential operators with holomorphic kernels, holomorphic and monogenic Fourier multipliers, and Cauchy-Dunford functional calculi of the Dirac operators on Lipschitz curves and surfaces, and the high-dimensional Fueter mapping theorem with applications. The book offers a valuable resource for all graduate students and researchers interested in singular integrals and Fourier multipliers.

Multi-Parameter Singular Integrals. (Am-189)

Автор: Street Brian
Название: Multi-Parameter Singular Integrals. (Am-189)
ISBN: 0691162522 ISBN-13(EAN): 9780691162522
Издательство: Wiley
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Цена: 11880.00 р.
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Описание: This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Caratheodory geometry, where the main

Singular Integrals and Fourier Theory on Lipschitz Boundaries

Автор: Qian Tao, Li Pengtao
Название: Singular Integrals and Fourier Theory on Lipschitz Boundaries
ISBN: 9811365024 ISBN-13(EAN): 9789811365027
Издательство: Springer
Цена: 11179.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s.

A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals

Автор: Ken Hayami
Название: A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals
ISBN: 3540550003 ISBN-13(EAN): 9783540550006
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This monograph proposes a numerical integration method for nearly singular integrals over general curved surfaces, arising in three-dimensional boundary element analysis. The method is also applied to weakly singular and hypersingular integrals. A knowledge of calculus is assumed.

Singular Bilinear Integrals

Автор: Jefferies Brian Raymond Frederick
Название: Singular Bilinear Integrals
ISBN: 9813207574 ISBN-13(EAN): 9789813207578
Издательство: World Scientific Publishing
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Цена: 12830.00 р.
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Описание: 'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.'Mathematical ReviewsThe integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for bilinear integration in cases where the classical approach does not apply.

Zeta Integrals, Schwartz Spaces and Local Functional Equatio

Название: Zeta Integrals, Schwartz Spaces and Local Functional Equatio
ISBN: 3030012875 ISBN-13(EAN): 9783030012878
Издательство: Springer
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Цена: 6288.00 р.
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Описание: This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions.Developing a general framework that could accommodate Schwartz spaces and the corresponding zeta integrals, the author establishes a formalism, states desiderata and conjectures, draws implications from these assumptions, and shows how known examples fit into this framework, supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the included extensive bibliography, will be valuable to anyone who wishes to understand this program, and to those who are already working on it and want to overcome certain frequently occurring technical difficulties.

Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincar? Upper Half-Plane

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: 8384.00 р.
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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.

Q? Analysis on Euclidean Spaces

Автор: Jie Xiao
Название: Q? Analysis on Euclidean Spaces
ISBN: 3110601125 ISBN-13(EAN): 9783110601121
Издательство: Walter de Gruyter
Цена: 17656.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The series is devoted to the publication of high-level monographs and specialized graduate texts which cover classical and modern analysis, partial differential equations with natural connections to geometry and the interplays between these fields and their applications to mathematical physics. Editor-in-Chief Jie Xiao, Memorial University, Canada Editorial Board Derchan Chang, Georgetown University, USA Goong Chen, Texas A&M University, USA Andrea Colesanti, University of Florence, Italy Robert McCann, University of Toronto, Canada De-Qi Zhang, National University of Singapore, Singapore Kehe Zhu, University at Albany, USA Please send any book proposals to Jie Xiao .

Hardy Spaces on the Euclidean Space

Автор: Akihito Uchiyama
Название: Hardy Spaces on the Euclidean Space
ISBN: 4431703195 ISBN-13(EAN): 9784431703198
Издательство: Springer
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Цена: 12577.00 р.
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Описание: The author explains some results on Hardy spaces by real-variable methods, in particular the atomic decomposition of elements in Hardy spaces and his proof of the Fefferman-Stein decomposition of BMO functions into the sum of a bounded function and Riesz transforms of bounded functions.

Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals

Автор: Sergey Kislyakov; Natan Kruglyak
Название: Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
ISBN: 303480752X ISBN-13(EAN): 9783034807524
Издательство: Springer
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Цена: 13270.00 р.
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Описание: This book proposes a unified method for the construction of near-minimizers for certain important functions, which arise in approximation, harmonic analysis and ill-posed problems and are most widely used in interpolation theory.

Analysis of Spherical Symmetries in Euclidean Spaces

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: 6986.00 р.
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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.


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