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Distribution, Integral Transforms and Applications, Kierat, W. , Sztaba, Urszula


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Автор: Kierat, W. , Sztaba, Urszula
Название:  Distribution, Integral Transforms and Applications
ISBN: 9780367395551
Издательство: Taylor&Francis
Классификация:
ISBN-10: 036739555X
Обложка/Формат: Paperback
Страницы: 160
Вес: 0.30 кг.
Дата издания: 27.09.2019
Серия: Analytical Methods and Special Functions
Язык: English
Размер: 252 x 175 x 10
Читательская аудитория: Professional & vocational
Основная тема: Differential Equations
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

The theory of distributions is most often presented as L. Schwartz originally presented it: as a theory of the duality of topological vector spaces. Although this is a sound approach, it can be difficult, demanding deep prior knowledge of functional analysis. The more elementary treatments that are available often consider distributions as limits of sequences of functions, but these usually present the theoretical foundations in a form too simplified for practical applications.

Distributions, Integral Transforms and Applications offers an approachable introduction to the theory of distributions and integral transforms that uses Schwartzs description of distributions as linear continous forms on topological vector spaces. The authors use the theory of the Lebesgue integral as a fundamental tool in the proofs of many theorems and develop the theory from its beginnings to the point of proving many of the deep, important theorems, such as the Schwartz kernel theorem and the Malgrange-Ehrenpreis theorem. They clearly demonstrate how the theory of distributions can be used in cases such as Fourier analysis, when the methods of classical analysis are insufficient.

Accessible to anyone who has completed a course in advanced calculus, this treatment emphasizes the remarkable connections between distributional theory, classical analysis, and the theory of differential equations and leads directly to applications in various branches of mathematics.




Ultrametric pseudodifferential equations and applications

Автор: Khrennikov, Andrei Yu. (linneuniversitetet, Sweden) Kozyrev, Sergei V. (steklov Institute Of Mathematics, Moscow) Zuniga-galindo, W. A. (instituto Pol
Название: Ultrametric pseudodifferential equations and applications
ISBN: 1107188822 ISBN-13(EAN): 9781107188822
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: Presents the state of the art of ultrametric pseudodifferential equations, relevant not only in mathematics but also in fields such as engineering, geophysics, and physics. Results previously scattered across many diverse journals are usefully consolidated here alongside novel ideas and applications.

Local Fractional Integral Transforms and Their Applications

Автор: Xiao Jun Yang
Название: Local Fractional Integral Transforms and Their Applications
ISBN: 0128040025 ISBN-13(EAN): 9780128040027
Издательство: Elsevier Science
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Цена: 11620.00 р.
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Описание: Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms.

  • Provides applications of local fractional Fourier Series
  • Discusses definitions for local fractional Laplace transforms
  • Explains local fractional Laplace transforms coupled with analytical methods
Fixed Point Theorems and Their Applications

Автор: Farmakis Ioannis
Название: Fixed Point Theorems and Their Applications
ISBN: 9814458910 ISBN-13(EAN): 9789814458917
Издательство: World Scientific Publishing
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Цена: 12672.00 р.
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Описание: This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.

Tropical Value Distribution Theory And Ultra-Discrete Equations

Автор: Korhonen Risto Et Al
Название: Tropical Value Distribution Theory And Ultra-Discrete Equations
ISBN: 9814632791 ISBN-13(EAN): 9789814632799
Издательство: World Scientific Publishing
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Цена: 15048.00 р.
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Описание:

This is the first textbook-type presentation of tropical value distribution theory. It provides a detailed introduction of the tropical version of the Nevanlinna theory, describing growth and value distribution analysis of continuous, piecewise linear functions on the real axis. The book also includes applications of this theory to ultra-discrete equations. Three appendices are given to compare the contents of the theory with the classical counterparts in complex analysis.

Detailed presentation of the proofs makes the book accessible for lecture courses and independent studies at the graduate and post-doctoral level.

Wavelet Transforms and Their Applications

Автор: Lokenath Debnath; Firdous Ahmad Shah
Название: Wavelet Transforms and Their Applications
ISBN: 0817684174 ISBN-13(EAN): 9780817684174
Издательство: Springer
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Цена: 11753.00 р.
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Описание: Wavelet Transforms and Their Applications

Banach Algebras and Applications: Proceedings of the International Conference held at the University of Oulu, November 3-11, 2017

Автор: Mahmoud Filali
Название: Banach Algebras and Applications: Proceedings of the International Conference held at the University of Oulu, November 3-11, 2017
ISBN: 311060132X ISBN-13(EAN): 9783110601329
Издательство: Walter de Gruyter
Цена: 21004.00 р.
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Описание: Banach algebras is a multilayered area in mathematics with many ramifications. With a diverse coverage of different schools working on the subject, this proceedings volume reflects recent achievements in areas such as Banach algebras over groups, abstract harmonic analysis, group actions, amenability, topological homology, Arens irregularity, C*-algebras and dynamical systems, operator theory, operator spaces, and locally compact quantum groups.

Functional Analysis with Applications

Автор: Svetlin G. Georgiev, Khaled Zennir
Название: Functional Analysis with Applications
ISBN: 3110657694 ISBN-13(EAN): 9783110657692
Издательство: Walter de Gruyter
Цена: 12822.00 р.
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Описание: This book on functional analysis covers all the basics of the subject (normed, Banach and Hilbert spaces, Lebesgue integration and spaces, linear operators and functionals, compact and self-adjoint operators, small parameters, fixed point theory) with a strong focus on examples, exercises and practical problems, thus making it ideal as course material but also as a reference for self-study.

Schur-Convex Functions and Inequalities: Volume 2: Applications in Inequalities

Автор: Huan-nan Shi
Название: Schur-Convex Functions and Inequalities: Volume 2: Applications in Inequalities
ISBN: 3110606577 ISBN-13(EAN): 9783110606577
Издательство: Walter de Gruyter
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Цена: 22491.00 р.
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Описание: This two-volume work introduces the theory and applications of Schur-convex functions. The second volume mainly focuses on the application of Schur-convex functions in sequences inequalities, integral inequalities, mean value inequalities for two variables, mean value inequalities for multi-variables, and in geometric inequalities.

Schur-Convex Functions and Inequalities: Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities

Автор: Huan-nan Shi
Название: Schur-Convex Functions and Inequalities: Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities
ISBN: 3110606127 ISBN-13(EAN): 9783110606126
Издательство: Walter de Gruyter
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Цена: 22491.00 р.
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Описание: This two-volume work introduces the theory and applications of Schur-convex functions. The first volume introduces concepts and properties of Schur-convex functions, including Schur-geometrically convex functions, Schur-harmonically convex functions, Schur-power convex functions, etc. and also discusses applications of Schur-convex functions in symmetric function inequalities.

Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications

Автор: Ulrich Krause
Название: Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications
ISBN: 3110369753 ISBN-13(EAN): 9783110369755
Издательство: Walter de Gruyter
Цена: 24165.00 р.
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Описание: This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)


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