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Function Theory and $\ell ^p$ Spaces, Javad Mashreghi, Raymond Cheng, William T. Ross


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Цена: 45980.00T
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Автор: Javad Mashreghi, Raymond Cheng, William T. Ross
Название:  Function Theory and $\ell ^p$ Spaces
ISBN: 9781470455934
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470455935
Обложка/Формат: Paperback
Страницы: 219
Вес: 0.44 кг.
Дата издания: 30.07.2020
Серия: University lecture series
Язык: English
Размер: 180 x 255 x 19
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis
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Поставляется из: Англии
Описание: The classical $\ell^{p}$ sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this area (the basic inequalities, duality, convexity, geometry) as well as connects them to the function theory (boundary growth conditions, zero sets, extremal functions, multipliers, operator theory) of the associated spaces $\ell^{p}_{A}$ of analytic functions whose Taylor coefficients belong to $\ell^p$. Relations between the Banach space $\ell^p$ and its associated function space are uncovered using tools from Banach space geometry, including Birkhoff-James orthogonality and the resulting Pythagorean inequalities. The authors survey the literature on all of this material, including a discussion of the multipliers of $\ell^{p}_{A}$ and a discussion of the Wiener algebra $\ell^{1}_{A}$. Except for some basic measure theory, functional analysis, and complex analysis, which the reader is expected to know, the material in this book is self-contained and detailed proofs of nearly all the results are given. Each chapter concludes with some end notes that give proper references, historical background, and avenues for further exploration.
Дополнительное описание: Calculus and mathematical analysis


Function Spaces

Автор: A. Kufner; Oldrich John; Svatopluk Fucik
Название: Function Spaces
ISBN: 9028600159 ISBN-13(EAN): 9789028600157
Издательство: Springer
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Цена: 294420.00 T
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Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science

Автор: Isaac Pesenson; Quoc Thong Le Gia; Azita Mayeli; H
Название: Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science
ISBN: 3319555553 ISBN-13(EAN): 9783319555553
Издательство: Springer
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Цена: 111790.00 T
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Описание: Introduction.- Characterization of Gevrey Regularity by a Class of FBI Transforms.- A Novel Mathematical Approach to the Theory of Translation Invariant Linear Systems.- Asymptotic Behaviour of the Fourier Transform of a Function of Bounded Variation.- Convergence and Regularization of Sampling Series.- Harmonic Analysis in Non-Euclidean Spaces: Theory and Application.- An Harmonic Analysis of Directed Graphs from Arithmetic Functions and Primes.- Sheaf and Duality Methods for Analyzing Multi-Model Systems.- On Boundary-Value Problems for a Partial Differential Equation with Caputo and Bessel Operator.- On the Solvability of the Zaremba Problem in Infinite Sectors and the Invertibility of Associated Singular Integral Operators.- On the Solution of the Oblique Derivative Problem by Constructive Runge-Walsh Concepts.- An Overview of Numerical Acceleration Techniques for Non-Linear Dimension Reduction.- Adaptive Density Estimation on the Circle by Nearly-Tight Frames.- Interactions between Kernels, Frames, and Persistent Homology.- Multi-Penalty Regularization for Detecting Relevant Variables.- Stable Likelihood Computation for Gaussian Random Fields.

Theory of Function Spaces II

Автор: Hans Triebel
Название: Theory of Function Spaces II
ISBN: 3764326395 ISBN-13(EAN): 9783764326395
Издательство: Springer
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Цена: 102480.00 T
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Описание: Deals with the theory of function spaces of type Bspq and Fspq. This book analyzes the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds.

Frames and Other Bases in Abstract and Function Spaces

Автор: Isaac Pesenson; Quoc Thong Le Gia; Azita Mayeli; H
Название: Frames and Other Bases in Abstract and Function Spaces
ISBN: 3319555499 ISBN-13(EAN): 9783319555492
Издательство: Springer
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Цена: 111790.00 T
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Описание: Frames: Theory and Practice.- Dynamical Sampling and Systems from Iterative Actions of Operators.- Optimization Methods for Frame Conditioning and Application to Graph Laplacian Scaling.- A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators.- Computing the Distance between Frames and between Subspaces of a Hilbert Space.- Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks.- Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings.- Numerical Solution to an Energy Concentration Problem Associated with the Special Affine Fourier Transformation.- A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging.- Frame Properties of Shifts of Prolate and Bandpass Prolate Functions.- Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions.- Multiscale Radial Basis Functions.- Orthogonal Wavelet Frames on Manifolds Based on Conformal Mappings.- Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians.- Construction of Multiresolution Analysis Based on Localized Reproducing Kernels.- Regular Sampling on Metabelian Nilpotent Lie Groups: The Multiplicity-Free Case.- Parseval Space-Frequency Localized Frames on Sub-Riemann Compact Homogeneous Manifolds.


Function Spaces and Applications

Автор: Michael Cwikel; Jaak Peetre; Yoram Sagher; Hans E.
Название: Function Spaces and Applications
ISBN: 354018905X ISBN-13(EAN): 9783540189053
Издательство: Springer
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Цена: 41880.00 T
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Описание: Emphasizes historical roots of interpolation spaces. This book features a lecture on the life of Marcel Riesz.

Narrow Operators on Function Spaces and Vector Lattices

Автор: Mikhail Popov, Beata Randrianantoanina
Название: Narrow Operators on Function Spaces and Vector Lattices
ISBN: 3110263033 ISBN-13(EAN): 9783110263039
Издательство: Walter de Gruyter
Цена: 148700.00 T
Наличие на складе: Невозможна поставка.
Описание: Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.

The Rademacher System in Function Spaces

Автор: Astashkin Sergey V.
Название: The Rademacher System in Function Spaces
ISBN: 3030478890 ISBN-13(EAN): 9783030478896
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions.

Function Spaces

Автор: A. Kufner; Oldrich John; Svatopluk Fucik
Название: Function Spaces
ISBN: 9048184614 ISBN-13(EAN): 9789048184613
Издательство: Springer
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Цена: 294420.00 T
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Function Spaces in Analysis

Автор: Krzysztof Jarosz
Название: Function Spaces in Analysis
ISBN: 1470416948 ISBN-13(EAN): 9781470416942
Издательство: Mare Nostrum (Eurospan)
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Цена: 104410.00 T
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Описание: Contains the proceedings of the Seventh Conference on Function Spaces. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.

Linear and Multilinear Algebra and Function Spaces

Автор: A. Bourhim, L. Oubbi, Z. Abdelali
Название: Linear and Multilinear Algebra and Function Spaces
ISBN: 1470446936 ISBN-13(EAN): 9781470446932
Издательство: Mare Nostrum (Eurospan)
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Цена: 100320.00 T
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Описание: This volume contains the proceedings of the International Conference on Algebra and Related Topics, held from July 2-5, 2018, at Mohammed V University, Rabat, Morocco.Linear reserver problems demand the characterization of linear maps between algebras that leave invariant certain properties or certain subsets or relations. One of the most intractable unsolved problems in is Kaplansky's conjecture: every surjective unital invertibility preserving linear map between two semisimple Banach algebras is a Jordan homomorphism. Recently, there has been an upsurge of interest in nonlinear preservers, where the maps studied are no longer assumed linear but instead a weak algebraic condition is somehow involved through the preserving property.This volume contains several articles on various aspects of preservers, including such topics as Jordan isomorphisms, Aluthge transform, joint numerical radius on $C^*$-algebras, advertible complete algebras, and Gelfand-Mazur algebras. The volume also contains a survey on recent progress on local spectrum-preserving maps. Several articles in the volume present results about weighted spaces and algebras of holomorphic or harmonic functions, including biduality in weighted spaces of analytic functions, interpolation in the analytic Wiener algebra, and weighted composition operators on non-locally convex weighted spaces.

The Dirichlet Space and Related Function Spaces

Автор: Nicola Arcozzi, Richard Rochberg, Eric T. Sawyer, Brett D. Wick
Название: The Dirichlet Space and Related Function Spaces
ISBN: 1470450828 ISBN-13(EAN): 9781470450823
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
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Описание: The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. The theory is related to such important themes as multipliers, reproducing kernels, and Besov spaces, among others. The authors present the theory of the Dirichlet space and related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several complex variables and the corona problem.The first part of this book is an introduction to the function theory and operator theory of the classical Dirichlet space, a space of holomorphic functions on the unit disk defined by a smoothness criterion. The Dirichlet space is also a Hilbert space with a reproducing kernel, and is the model for the dyadic Dirichlet space, a sequence space defined on the dyadic tree. These various viewpoints are used to study a range of topics including the Pick property, multipliers, Carleson measures, boundary values, zero sets, interpolating sequences, the local Dirichlet integral, shift invariant subspaces, and Hankel forms. Recurring themes include analogies, sometimes weak and sometimes strong, with the classical Hardy space; and the analogy with the dyadic Dirichlet space.The final chapters of the book focus on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional techniques are developed to work with the nonisotropic complex geometry, including a useful invariant definition of local oscillation and a sophisticated variation on the dyadic Dirichlet space. Descriptions are obtained of multipliers, Carleson measures, interpolating sequences, and multiplier interpolating sequences; $\overline\partial$ estimates are obtained to prove corona theorems.

Function Spaces with Dominating Mixed Smoothness

Автор: Hans Triebel
Название: Function Spaces with Dominating Mixed Smoothness
ISBN: 3037191953 ISBN-13(EAN): 9783037191958
Издательство: Mare Nostrum (Eurospan)
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Цена: 43430.00 T
Наличие на складе: Нет в наличии.


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