Counterexamples on Uniform Convergence - Sequences, Series, Functions, and Integrals, Bourchtein
Автор: Schilling, Rene L. (technische Universitat, Dresden) Kuhn, Franziska (technische Universitat, Dresden) Название: Counterexamples in measure and integration ISBN: 1009001620 ISBN-13(EAN): 9781009001625 Издательство: Cambridge Academ Рейтинг: Цена: 5542.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a perfect companion to any course on measure theory, integration, real and functional analysis, providing more than 300 examples and counterexamples to the otherwise often rather theoretical courses. By knowing `what may go wrong` students will gain a better understanding of the standard course material.
Автор: Ren? L. Schilling , Franziska K?hn Название: Counterexamples in Measure and Integration ISBN: 1316519139 ISBN-13(EAN): 9781316519134 Издательство: Cambridge Academ Рейтинг: Цена: 17424.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a perfect companion to any course on measure theory, integration, real and functional analysis, providing more than 300 examples and counterexamples to the otherwise often rather theoretical courses. By knowing `what may go wrong` students will gain a better understanding of the standard course material.
Автор: M. Mursaleen; S.A. Mohiuddine Название: Convergence Methods for Double Sequences and Applications ISBN: 8132216105 ISBN-13(EAN): 9788132216100 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book`s dedicated focus on the `almost` convergence and statistical convergence of double sequences demystifies the concept using a host of revealing examples, highlighting the application of double sequences in key areas of pure and applied mathematics.
Автор: Little Charles H.C. Название: Real Analysis via Sequences and Series ISBN: 1493926500 ISBN-13(EAN): 9781493926503 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis`s formula and Stirling`s formula, proofs of the irrationality of ГЇВїВЅ and e and a treatment of Newton`s method as a special instance of finding fixed points of iterated functions.
Автор: Nahin, Paul J. Название: Inside Interesting Integrals ISBN: 1493912763 ISBN-13(EAN): 9781493912766 Издательство: Springer Рейтинг: Цена: 5309.00 р. Наличие на складе: Поставка под заказ.
Описание: What`s the point of calculating definite integrals since you can`t possibly do them all?.What makes doing the specific integrals in this book of value aren`t the specific answers we`ll obtain, but rather the methods we`ll use in obtaining those answers;
Автор: Michael G. Charalambous Название: Dimension Theory ISBN: 3030222314 ISBN-13(EAN): 9783030222314 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for constructing spaces: Mrowka's psi-spaces, van Douwen's technique of assigning limit points to carefully selected sequences, and Fedorchuk's method of resolutions.
Accessible to readers familiar with the standard facts of general topology, the book is written in a reader-friendly style suitable for self-study. It contains enough material for one or more graduate courses in dimension theory and/or general topology. More than half of the contents do not appear in existing books, making it also a good reference for libraries and researchers.
Автор: Charalambous Michael G. Название: Dimension Theory: A Selection of Theorems and Counterexamples ISBN: 3030222349 ISBN-13(EAN): 9783030222345 Издательство: Springer Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: - Topological Spaces. - The Three Main Dimension Functions. - The Countable Sum Theorem for Covering Dimension. - Urysohn Inequalities. - The Dimension of Euclidean Spaces. - Connected Components and Dimension. - Factorization and Compactification Theorems for Separable Metric Spaces. - Coincidence, Product and Decomposition Theorems for Separable Metric Spaces. - Universal Spaces for Separable Metric Spaces of Dimension at Most n. - Axiomatic Characterization of the Dimension of Separable Metric Spaces. - Cozero Sets and Covering Dimension dim0. - ψ-Spaces and the Failure of the Sum and Subset Theorems for dim0. - The Inductive Dimension Ind0. - Two Classical Examples. - The Gap Between the Covering and the Inductive Dimensions of Compact Hausdorff Spaces. - Inverse Limits and N-Compact Spaces. - Some Standard Results Concerning Metric Spaces. - The Mardesi c Factorization Theorem and the Dimension of Metrizable Spaces. - A Metrizable Space with Unequal Inductive Dimensions. - No Finite Sum Theorem for the Small Inductive Dimension of Metrizable Spaces. - Failure of the Subset Theorem for Hereditarily Normal Spaces. - A Zero-Dimensional, Hereditarily Normal and Lindelцf Space Containing Subspaces of Arbitrarily Large Dimension. - Cosmic Spaces and Dimension. - n-Cardinality and Bernstein Sets. - The van Douwen Technique for Constructing Counterexamples. - No Compactification Theorem for the Small Inductive Dimension of Perfectly Normal Spaces. - Normal Products and Dimension. - Fully Closed and Ring-Like Maps. - Fedorčuk's Resolutions. - Compact Spaces Without Intermediate Dimensions. - More Continua with Distinct Covering and Inductive Dimensions. - The Gaps Between the Dimensions of Normal Hausdorff Spaces.
Автор: Samko, Stefan Название: Hypersingular Integrals and Their Applications ISBN: 0415272688 ISBN-13(EAN): 9780415272681 Издательство: Taylor&Francis Рейтинг: Цена: 33686.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Srivastava, H. M. Название: Zeta and q-Zeta Functions and Associated Series and Integrals ISBN: 0323165265 ISBN-13(EAN): 9780323165266 Издательство: Elsevier Science Рейтинг: Цена: 18275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals.
Автор: Adrian M. Gonzalez-Perez, Javier Parcet, Marius Junge Название: Singular Integrals in Quantum Euclidean Spaces ISBN: 1470449374 ISBN-13(EAN): 9781470449377 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 10659.00 р. Наличие на складе: Нет в наличии.
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.
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.
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.
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