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Book Functions of Bounded Variation and Their Fourier Transforms

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 An Introductory Course in Summability Theory

Download or read book An Introductory Course in Summability Theory written by Ants Aasma and published by John Wiley & Sons. This book was released on 2017-04-24 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory course in summability theory for students, researchers, physicists, and engineers In creating this book, the authors’ intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects. Following a brief introduction to the history of summability theory, general matrix methods are introduced, and the Silverman-Toeplitz theorem on regular matrices is discussed. A variety of special summability methods, including the Nörlund method, the Weighted Mean method, the Abel method, and the (C, 1) - method are next examined. An entire chapter is devoted to a discussion of some elementary Tauberian theorems involving certain summability methods. Following this are chapters devoted to matrix transforms of summability and absolute summability domains of reversible and normal methods; the notion of a perfect matrix method; matrix transforms of summability and absolute summability domains of the Cesàro and Riesz methods; convergence and the boundedness of sequences with speed; and convergence, boundedness, and summability with speed. • Discusses results on matrix transforms of several matrix methods • The only English-language textbook describing the notions of convergence, boundedness, and summability with speed, as well as their applications in approximation theory • Compares the approximation orders of Fourier expansions in Banach spaces by different matrix methods • Matrix transforms of summability domains of regular perfect matrix methods are examined • Each chapter contains several solved examples and end-of-chapter exercises, including hints for solutions An Introductory Course in Summability Theory is the ideal first text in summability theory for graduate students, especially those having a good grasp of real and complex analysis. It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic continuation. ANTS AASMA, PhD, is Associate Professor of Mathematical Economics in the Department of Economics and Finance at Tallinn University of Technology, Estonia. HEMEN DUTTA, PhD, is Senior Assistant Professor of Mathematics at Gauhati University, India. P.N. NATARAJAN, PhD, is Formerly Professor and Head of the Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, Tamilnadu, India.

Book Function Classes on the Unit Disc

Download or read book Function Classes on the Unit Disc written by Miroslav Pavlović and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-08-19 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the disc, a number of new results and new or easy proofs of old but interesting theorems (for example, the Fefferman–Stein theorem on subharmonic behavior or the theorem on conjugate functions in Bergman spaces) and a full discussion on g-functions.

Book General Inequalities 1   Allgemeine Ungleichungen 1

Download or read book General Inequalities 1 Allgemeine Ungleichungen 1 written by BECKENBACH and published by Birkhäuser. This book was released on 2013-12-01 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: personlichen Kontakt der Wissenschaftler untereinander zustande kommt, als die unpersonliche, nur literarische Information."

Book Catalog of Copyright Entries  Third Series

Download or read book Catalog of Copyright Entries Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1975 with total page 1760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Elliptic Operators and Compact Groups

Download or read book Elliptic Operators and Compact Groups written by M.F. Atiyah and published by Springer. This book was released on 2006-08-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Equadiff 2003   Proceedings Of The International Conference On Differential Equations

Download or read book Equadiff 2003 Proceedings Of The International Conference On Differential Equations written by Freddy Dumortier and published by World Scientific. This book was released on 2005-02-23 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume contains the state of the art on ODE's and PDE's of different nature, functional differential equations, delay equations, and others, mostly from the dynamical systems point of view.A broad range of topics are treated through contributions by leading experts of their fields, presenting the most recent developments. A large variety of techniques are being used, stressing geometric, topological, ergodic and numerical aspects.The scope of the book is wide, ranging from pure mathematics to various applied fields. Examples of the latter are provided by subjects from earth and life sciences, classical mechanics and quantum-mechanics, among others.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Book Revue Roumaine de Math  matiques Pures Et Appliqu  es

Download or read book Revue Roumaine de Math matiques Pures Et Appliqu es written by and published by . This book was released on 1977 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Fourier Analysis and Approximation Theory

Download or read book Fourier Analysis and Approximation Theory written by György Alexits and published by North-Holland. This book was released on 1978 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book

    Book Details:
  • Author : 国立国会図書館(Japan)
  • Publisher :
  • Release : 1975
  • ISBN :
  • Pages : 732 pages

Download or read book written by 国立国会図書館(Japan) and published by . This book was released on 1975 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Publishers  Trade List Annual

Download or read book The Publishers Trade List Annual written by and published by . This book was released on 1985 with total page 2062 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Books in Series

Download or read book Books in Series written by and published by . This book was released on 1980 with total page 2410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Paperbound Books in Print

Download or read book Paperbound Books in Print written by and published by . This book was released on 1983 with total page 1696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The American Mathematical Monthly

Download or read book The American Mathematical Monthly written by and published by . This book was released on 1974 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes articles, as well as notes and other features, about mathematics and the profession.