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Generalized Functions, Volume 4: Applications of Harmonic Analysis, I.M. Gel`fand, N. Ya. Vilenkin


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Автор: I.M. Gel`fand, N. Ya. Vilenkin
Название:  Generalized Functions, Volume 4: Applications of Harmonic Analysis
ISBN: 9781470426620
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470426625
Обложка/Формат: Hardback
Страницы: 384
Вес: 0.85 кг.
Дата издания: 30.04.2016
Серия: Ams chelsea publishing
Язык: English
Размер: 187 x 262 x 28
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis
Подзаголовок: Applications of harmonic analysis
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Поставляется из: Англии
Описание: The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Greens function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gelfand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory.The main goal of Volume 4 is to develop the functional analysis setup for the universe of generalized functions. The main notion introduced in this volume is the notion of rigged Hilbert space (also known as the equipped Hilbert space, or Gelfand triple). Such space is, in fact, a triple of topological vector spaces $E \subset H \subset E$, where $H$ is a Hilbert space, $E$ is dual to $E$, and inclusions $E\subset H$ and $H\subset E$ are nuclear operators. The book is devoted to various applications of this notion, such as the theory of positive definite generalized functions, the theory of generalized stochastic processes, and the study of measures on linear topological spaces.
Дополнительное описание: Calculus and mathematical analysis


Green`s Functions: Construction and Applications

Автор: Yuri A. Melnikov, Max Y. Melnikov
Название: Green`s Functions: Construction and Applications
ISBN: 311025302X ISBN-13(EAN): 9783110253023
Издательство: Walter de Gruyter
Цена: 161100.00 T
Наличие на складе: Невозможна поставка.
Описание: Green's functions represent one of the classical and widely used issues in the area of differential equations. This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics. The book is attractive for practical needs: It contains many easily computable or computer friendly representations of Green's functions,includes all the standard Green's functions andmany novel ones, and provides innovative and new approaches that might lead to Green's functions. The book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations.

Generalized Functions and Their Applications

Автор: R.S. Pathak
Название: Generalized Functions and Their Applications
ISBN: 0306444046 ISBN-13(EAN): 9780306444043
Издательство: Springer
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Цена: 186330.00 T
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Описание: The International Symposium on Generalized Functions and Their Applications was organized by the Department of Mathematics, Banaras Hindu University, and held December 23-26, 1991, on the occasion of the Platinum Jubilee Celebration of the university.

Generalized Functions, Convergence Structures, and Their Applications

Автор: Bogoljub Stankovic
Название: Generalized Functions, Convergence Structures, and Their Applications
ISBN: 1461283124 ISBN-13(EAN): 9781461283126
Издательство: Springer
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Цена: 81050.00 T
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Описание: This Proceedings consists of a collection of papers presented at the International Conference "Generalized functions, convergence structures and their applications" held from June 23-27, 1987 in Dubrovnik, Yugoslavia (GFCA-87): 71 participants from 21 countr~es from allover the world took part in the Conference.

Bernstein Functions: Theory and Applications

Автор: Rene L. Schilling, Renming Song, Zoran Vondracek
Название: Bernstein Functions: Theory and Applications
ISBN: 3110252295 ISBN-13(EAN): 9783110252293
Издательство: Walter de Gruyter
Цена: 185890.00 T
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Описание: Bernstein functions appear in various fields of mathematics, e.g. probability theory, potential theory, operator theory, functional analysis and complex analysis– often with different definitions and under different names. Among the synonyms are `Laplace exponent' instead of Bernstein function, and complete Bernstein functions are sometimes called `Pick functions', `Nevanlinna functions' or `operator monotone functions'. This monograph– now in its second revised and extended edition– offers a self-contained and unified approach to Bernstein functions and closely related function classes, bringing together old and establishing new connections. For the second edition the authors added a substantial amount of new material. As in the first edition Chapters 1 to 11 contain general material which should be accessible to non-specialists, while the later Chapters 12 to 15 are devoted to more specialized topics. An extensive list of complete Bernstein functions with their representations is provided.

Harmonic Analysis And Fractal Analysis Over Local Fields And Applications

Автор: Su Weiyi
Название: Harmonic Analysis And Fractal Analysis Over Local Fields And Applications
ISBN: 9813200499 ISBN-13(EAN): 9789813200494
Издательство: World Scientific Publishing
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Цена: 103490.00 T
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Описание:

This book is a monograph on harmonic analysis and fractal analysis over local fields. It can also be used as lecture notes/textbook or as recommended reading for courses on modern harmonic and fractal analysis. It is as reliable as Fourier Analysis on Local Fields published in 1975 which is regarded as the first monograph in this research field.

The book is self-contained, with wide scope and deep knowledge, taking modern mathematics (such as modern algebra, point set topology, functional analysis, distribution theory, and so on) as bases. Specially, fractal analysis is studied in the viewpoint of local fields, and fractal calculus is established by pseudo-differential operators over local fields. A frame of fractal PDE is constructed based on fractal calculus instead of classical calculus. On the other hand, the author does his best to make those difficult concepts accessible to readers, illustrate clear comparison between harmonic analysis on Euclidean spaces and that on local fields, and at the same time provide motivations underlying the new concepts and techniques. Overall, it is a high quality, up to date and valuable book for interested readers.


Generalized Functions and Their Applications

Автор: R.S. Pathak
Название: Generalized Functions and Their Applications
ISBN: 1489915931 ISBN-13(EAN): 9781489915931
Издательство: Springer
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Цена: 139750.00 T
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Описание: The International Symposium on Generalized Functions and Their Applications was organized by the Department of Mathematics, Banaras Hindu University, and held December 23-26, 1991, on the occasion of the Platinum Jubilee Celebration of the university.

Recent Advances in Orthogonal Polynomials, Special Functions and Their Applications

Автор: J. Arvesu, G. Lopez Lagomasino
Название: Recent Advances in Orthogonal Polynomials, Special Functions and Their Applications
ISBN: 0821868969 ISBN-13(EAN): 9780821868966
Издательство: Mare Nostrum (Eurospan)
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Цена: 85930.00 T
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Описание: This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29-September 2, 2011, at the Universidad Carlos III de Madrid in Leganes, Spain. <br><br>The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann-Hilbert approach in the study of Pade approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann-Hilbert analysis, and the steepest descent method.

Harmonic and complex analysis and its applications

Название: Harmonic and complex analysis and its applications
ISBN: 3319018051 ISBN-13(EAN): 9783319018058
Издательство: Springer
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Цена: 111790.00 T
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Описание: L.D. Abreu, H.G. Feichtinger: Function spaces of polyanalytic functions.- F. Bracci, M.D. Contreras, S. Dнaz-Madrigal, A. Vasil'ev: Classical and stochastic Lцwner-Kufarev equations.- M. Elin, F. Jacobzon, M. Levenshtein, D. Shoikhet: The Schwarz Lemma. Rigidity and Dynamics.- H.G. Feichtinger, M. Pap: Coorbit theory and Bergman spaces.- S.J. Gardiner, T. Sjцdin: Quadrature domains and their two-phase counterparts.- B. Gustafsson: Exponential transforms, resultants and moments.- M. Schlichenmaier: From the Virasoro Algebra to Krichever-Novikov Type Algebras and Beyond.

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.

Harmonic and Complex Analysis and its Applications

Автор: Alexander Vasil`ev
Название: Harmonic and Complex Analysis and its Applications
ISBN: 3319378872 ISBN-13(EAN): 9783319378879
Издательство: Springer
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Цена: 111790.00 T
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Описание: L.D. Abreu, H.G. Feichtinger: Function spaces of polyanalytic functions.- F. Bracci, M.D. Contreras, S. Dнaz-Madrigal, A. Vasil'ev: Classical and stochastic Lцwner-Kufarev equations.- M. Elin, F. Jacobzon, M. Levenshtein, D. Shoikhet: The Schwarz Lemma. Rigidity and Dynamics.- H.G. Feichtinger, M. Pap: Coorbit theory and Bergman spaces.- S.J. Gardiner, T. Sjцdin: Quadrature domains and their two-phase counterparts.- B. Gustafsson: Exponential transforms, resultants and moments.- M. Schlichenmaier: From the Virasoro Algebra to Krichever-Novikov Type Algebras and Beyond.

Harmonic Analysis, Partial Differential Equations and Applications

Автор: Sagun Chanillo; Bruno Franchi; Guozhen Lu; Carlos
Название: Harmonic Analysis, Partial Differential Equations and Applications
ISBN: 331952741X ISBN-13(EAN): 9783319527413
Издательство: Springer
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Цена: 93160.00 T
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Описание: This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L.

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

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.


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