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Functions Of Generalized Bounded Variation Generalized Absolute Continuity And Applications To Fourier Series
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Book Synopsis Functions of Generalized Bounded Variation, Generalized Absolute Continuity and Applications to Fourier Series by : Nunzio Paul Schembari
Download or read book Functions of Generalized Bounded Variation, Generalized Absolute Continuity and Applications to Fourier Series written by Nunzio Paul Schembari and published by . This book was released on 1991 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bounded Variation and Around by : Jürgen Appell
Download or read book Bounded Variation and Around written by Jürgen Appell and published by Walter de Gruyter. This book was released on 2013-12-12 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this monograph is to give a thorough and self-contained account of functions of (generalized) bounded variation, the methods connected with their study, their relations to other important function classes, and their applications to various problems arising in Fourier analysis and nonlinear analysis. In the first part the basic facts about spaces of functions of bounded variation and related spaces are collected, the main ideas which are useful in studying their properties are presented, and a comparison of their importance and suitability for applications is provided, with a particular emphasis on illustrative examples and counterexamples. The second part is concerned with (sometimes quite surprising) properties of nonlinear composition and superposition operators in such spaces. Moreover, relations with Riemann-Stieltjes integrals, convergence tests for Fourier series, and applications to nonlinear integral equations are discussed. The only prerequisite for understanding this book is a modest background in real analysis, functional analysis, and operator theory. It is addressed to non-specialists who want to get an idea of the development of the theory and its applications in the last decades, as well as a glimpse of the diversity of the directions in which current research is moving. Since the authors try to take into account recent results and state several open problems, this book might also be a fruitful source of inspiration for further research.
Book Synopsis Functions of Bounded Variation and Their Fourier Transforms by : Elijah Liflyand
Download or read book Functions of Bounded Variation and Their Fourier Transforms written by Elijah Liflyand and published by Springer. This book was released on 2019-03-06 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform. This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series.
Book Synopsis Generalized Functions and Fourier Analysis by : John L. Challifour
Download or read book Generalized Functions and Fourier Analysis written by John L. Challifour and published by . This book was released on 1972 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convergence of Double Fourier Series with Coefficients of Generalized Bounded Variation by :
Download or read book Convergence of Double Fourier Series with Coefficients of Generalized Bounded Variation written by and published by . This book was released on 1989 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Classical Analysis and Applications in Honor of Daniel Waterman by : Laura De Carli
Download or read book Topics in Classical Analysis and Applications in Honor of Daniel Waterman written by Laura De Carli and published by World Scientific. This book was released on 2008 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a wide range of topics, from orthogonal polynomials to wavelets. It contains several high-quality research papers by prominent experts exploring trends in function theory, orthogonal polynomials, Fourier series, approximation theory, theory of wavelets and applications. The book provides an up-to-date presentation of several important topics in Classical and Modern Analysis. The interested reader will also be able to find stimulating open problems and suggestions for future research.
Book Synopsis Fourier Series, a Modern Introduction by : Robert E. Edwards
Download or read book Fourier Series, a Modern Introduction written by Robert E. Edwards and published by . This book was released on 1979 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generalized Functions and Fourier Analysis by : Michael Oberguggenberger
Download or read book Generalized Functions and Fourier Analysis written by Michael Oberguggenberger and published by Birkhäuser. This book was released on 2017-05-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.
Book Synopsis Introduction to the Theory of Fourier's Series and Integrals by : Horatio Scott Carslaw
Download or read book Introduction to the Theory of Fourier's Series and Integrals written by Horatio Scott Carslaw and published by . This book was released on 1930 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Fourier Analysis and Generalised Functions by : Sir M. J. Lighthill
Download or read book An Introduction to Fourier Analysis and Generalised Functions written by Sir M. J. Lighthill and published by Cambridge University Press. This book was released on 1958 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1996 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Measure and Integration by : Harold Widom
Download or read book Lectures on Measure and Integration written by Harold Widom and published by Courier Dover Publications. This book was released on 2016-11-16 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: These well-known and concise lecture notes present the fundamentals of the Lebesgue theory of integration and an introduction to some of the theory's applications. Suitable for advanced undergraduates and graduate students of mathematics, the treatment also covers topics of interest to practicing analysts. Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition of the integral and its main properties. The notes contain chapters on the Lebesgue spaces and their duals, differentiation of measures in Euclidean space, and the application of integration theory to Fourier series.
Book Synopsis Generalized Calculus with Applications to Matter and Forces by : Luis Manuel Braga de Costa Campos
Download or read book Generalized Calculus with Applications to Matter and Forces written by Luis Manuel Braga de Costa Campos and published by CRC Press. This book was released on 2014-04-18 with total page 885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to genera
Book Synopsis Fourier Series by : Werner Rogosinski
Download or read book Fourier Series written by Werner Rogosinski and published by Chelsea Publishing Company, Incorporated. This book was released on 1950 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Functions of Bounded Variation by : Simon Reinwand
Download or read book Functions of Bounded Variation written by Simon Reinwand and published by Cuvillier Verlag. This book was released on 2021-04-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions of bounded variation are most important in many fields of mathe¬matics. This thesis investigates spaces of functions of bounded variation with one variable of various types, compares them to other classical function spaces and reveals natural “habitats” of BV-functions. New and almost comprehensive results concerning mapping properties like surjectivity and injectivity, several kinds of continuity and compactness of both linear and nonlinear operators bet¬ween such spaces are given. A new theory about different types of convergence of sequences of such operators is presented in full detail and applied to a new proof for the continuity of the composition operator in the classical BV-space. The abstract results serve as ingredients to solve Hammerstein and Volterra in¬tegral equations using fixed point theory. Many criteria guaranteeing the exis¬tence and uniqueness of solutions in BV-type spaces are given and later applied to solve boundary and initial value problems in a nonclassical setting. A big emphasis is put on a clear and detailed discussion. Many pictures and syn¬optic tables help to visualize and summarize the most important ideas. Over 160 examples and counterexamples illustrate the many abstract results and how de¬licate some of them are.
Book Synopsis Absolute Summability of Fourier Series and Orthogonal Series by : Y. Okuyama
Download or read book Absolute Summability of Fourier Series and Orthogonal Series written by Y. Okuyama and published by Lecture Notes in Mathematics. This book was released on 1984-07 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fourier Transforms by : Salomon Bochner
Download or read book Fourier Transforms written by Salomon Bochner and published by Princeton University Press. This book was released on 1949 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of Fourier transforms from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
