Multipliers For C Alpha Bounded Fourier Expansions In Banach Spaces And Approximation Theory
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Multipliers for C alpha Bounded Fourier Expansions in Banach Spaces and Approximation Theory
Author | : W. Trebels |
Publsiher | : Springer |
Total Pages | : 110 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540469513 |
Download Multipliers for C alpha Bounded Fourier Expansions in Banach Spaces and Approximation Theory Book in PDF, Epub and Kindle
Multipliers for C alpha bounded Fourier Expansions in Banach Spaces and Approximation Theory
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Author | : Walter Trebels |
Publsiher | : Unknown |
Total Pages | : 103 |
Release | : 1973 |
Genre | : Approximation theory |
ISBN | : 0387063579 |
Download Multipliers for C alpha bounded Fourier Expansions in Banach Spaces and Approximation Theory Book in PDF, Epub and Kindle
Multipliers for C Alpha bounded Fourier Expansions in Banach Spaces and Approximation Theory
Author | : Walter Trebels |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 1973 |
Genre | : Approximation theory |
ISBN | : 3387063571 |
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Function Classes on the Unit Disc
Author | : Miroslav Pavlović |
Publsiher | : Walter de Gruyter |
Total Pages | : 463 |
Release | : 2013-12-12 |
Genre | : Mathematics |
ISBN | : 9783110281903 |
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This monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on subharmonic behavior, theorems on conjugate functions and fractional integration on Bergman spaces, Fefferman's duality theorem), which are interesting for specialists; applications of the Hardy-Littlewood inequalities on Taylor coefficients to (C, α)-maximal theorems and (C, α)-convergence; a study of BMOA, due to Knese, based only on Green's formula; the problem of membership of singular inner functions in Besov and Hardy-Sobolev spaces; a full discussion of g-function (all p > 0) and Calderón's area theorem; a new proof, due to Astala and Koskela, of the Littlewood-Paley inequality for univalent functions; and new results and proofs on Lipschitz spaces, coefficient multipliers and duality, including compact multipliers and multipliers on spaces with non-normal weights. It also contains a discussion of analytic functions and lacunary series with values in quasi-Banach spaces with applications to function spaces and composition operators. Sixteen open questions are posed. The reader is assumed to have a good foundation in Lebesgue integration, complex analysis, functional analysis, and Fourier series. Further information can be found at the author's website at http://poincare.matf.bg.ac.rs/~pavlovic.
General Inequalities 1 Allgemeine Ungleichungen 1
Author | : BECKENBACH |
Publsiher | : Birkhäuser |
Total Pages | : 323 |
Release | : 2013-12-01 |
Genre | : Science |
ISBN | : 9783034855631 |
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personlichen Kontakt der Wissenschaftler untereinander zustande kommt, als die unpersonliche, nur literarische Information."
Catalog of Copyright Entries Third Series
Author | : Library of Congress. Copyright Office |
Publsiher | : Copyright Office, Library of Congress |
Total Pages | : 1760 |
Release | : 1975 |
Genre | : Copyright |
ISBN | : STANFORD:36105119498728 |
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Functions of Bounded Variation and Their Fourier Transforms
Author | : Elijah Liflyand |
Publsiher | : Springer |
Total Pages | : 194 |
Release | : 2019-03-06 |
Genre | : Mathematics |
ISBN | : 9783030044299 |
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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.
Decay of the Fourier Transform
Author | : Alex Iosevich,Elijah Liflyand |
Publsiher | : Springer |
Total Pages | : 222 |
Release | : 2014-10-01 |
Genre | : Mathematics |
ISBN | : 9783034806251 |
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The Plancherel formula says that the L^2 norm of the function is equal to the L^2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L^2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original L^2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration.