On The Summability Of Double Fouriers Series

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Summability of Multi-Dimensional Fourier Series and Hardy Spaces

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Author : Ferenc Weisz
Publisher : Springer Science & Business Media
ISBN 13 : 9401731837
Total Pages : 340 pages
Book Rating : 4.4/5 (17 download)

Book Synopsis Summability of Multi-Dimensional Fourier Series and Hardy Spaces by : Ferenc Weisz

Download or read book Summability of Multi-Dimensional Fourier Series and Hardy Spaces written by Ferenc Weisz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of martingale theory goes back to the early fifties when Doob [57] pointed out the connection between martingales and analytic functions. On the basis of Burkholder's scientific achievements the mar tingale theory can perfectly well be applied in complex analysis and in the theory of classical Hardy spaces. This connection is the main point of Durrett's book [60]. The martingale theory can also be well applied in stochastics and mathematical finance. The theories of the one-parameter martingale and the classical Hardy spaces are discussed exhaustively in the literature (see Garsia [83], Neveu [138], Dellacherie and Meyer [54, 55], Long [124], Weisz [216] and Duren [59], Stein [193, 194], Stein and Weiss [192], Lu [125], Uchiyama [205]). The theory of more-parameter martingales and martingale Hardy spaces is investigated in Imkeller [107] and Weisz [216]. This is the first mono graph which considers the theory of more-parameter classical Hardy spaces. The methods of proofs for one and several parameters are en tirely different; in most cases the theorems stated for several parameters are much more difficult to verify. The so-called atomic decomposition method that can be applied both in the one-and more-parameter cases, was considered for martingales by the author in [216].

Lebesgue Points and Summability of Higher Dimensional Fourier Series

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Author : Ferenc Weisz
Publisher : Springer Nature
ISBN 13 : 3030746364
Total Pages : 299 pages
Book Rating : 4.0/5 (37 download)

Book Synopsis Lebesgue Points and Summability of Higher Dimensional Fourier Series by : Ferenc Weisz

Download or read book Lebesgue Points and Summability of Higher Dimensional Fourier Series written by Ferenc Weisz and published by Springer Nature. This book was released on 2021-06-12 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of Lebesgue’s theorem, filling a gap in the literature. Recent results and real-world applications are highlighted as well, making this a timely resource. The book is structured into four chapters, prioritizing clarity throughout. Chapter One covers basic results from the one-dimensional Fourier series, and offers a clear proof of the Lebesgue theorem. In Chapter Two, convergence and boundedness results for the lq-summability are presented. The restricted and unrestricted rectangular summability are provided in Chapter Three, as well as the sufficient and necessary condition for the norm convergence of the rectangular theta-means. Chapter Four then introduces six types of Lebesgue points for higher dimensional functions. Lebesgue Points and Summability of Higher Dimensional Fourier Series will appeal to researchers working in mathematical analysis, particularly those interested in Fourier and harmonic analysis. Researchers in applied fields will also find this useful.

Convergence and Summability of Fourier Transforms and Hardy Spaces

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Author : Ferenc Weisz
Publisher : Birkhäuser
ISBN 13 : 3319568140
Total Pages : 446 pages
Book Rating : 4.3/5 (195 download)

Book Synopsis Convergence and Summability of Fourier Transforms and Hardy Spaces by : Ferenc Weisz

Download or read book Convergence and Summability of Fourier Transforms and Hardy Spaces written by Ferenc Weisz and published by Birkhäuser. This book was released on 2017-12-27 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known summability methods, such as the Fejér, Riesz, Weierstrass, Abel, Picard, Bessel and Rogosinski summations. Following on the classic books by Bary (1964) and Zygmund (1968), this is the first book that considers strong summability introduced by current methodology. A further unique aspect is that the Lebesgue points are also studied in the theory of multi-dimensional summability. In addition to classical results, results from the past 20-30 years – normally only found in scattered research papers – are also gathered and discussed, offering readers a convenient “one-stop” source to support their work. As such, the book will be useful for researchers, graduate and postgraduate students alike.

東北数學雑誌

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Author :
Publisher :
ISBN 13 :
Total Pages : 598 pages
Book Rating : 4.F/5 ( download)

Book Synopsis 東北数學雑誌 by :

Download or read book 東北数學雑誌 written by and published by . This book was released on 1921 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Summable Series and Convergence Factors

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Author : Charles Napoleon Moore
Publisher : American Mathematical Soc.
ISBN 13 : 0821846205
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Summable Series and Convergence Factors by : Charles Napoleon Moore

Download or read book Summable Series and Convergence Factors written by Charles Napoleon Moore and published by American Mathematical Soc.. This book was released on 1938-12-31 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fairly early in the development of the theory of summability of divergent series, the concept of convergence factors was recognized as of fundamental importance in the subject. One of the pioneers in this field was C. N. Moore, the author of the book under review.... Moore classifies convergence factors into two types. In type I he places the factors which have only the property that they preserve convergence for a convergent series or produce convergence for a summable series. In type II he places the factors which not only maintain or produce convergence but have the additional property that they may be used to obtain the sum or generalized sum of the series. This book gives a generalized systematic treatment of the theory of convergence factors of both types, for simply infinite series and for multiple series, convergent and summable.... --Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

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Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 562 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society

Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1912 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Annals of Mathematics

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Author :
Publisher :
ISBN 13 :
Total Pages : 750 pages
Book Rating : 4.F/5 ( download)

Book Synopsis Annals of Mathematics by :

Download or read book Annals of Mathematics written by and published by . This book was released on 1927 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: Founded in 1884, Annals of Mathematics publishes research papers in pure mathematics.

Reprint and Circular Series of the National Research Council

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Author : National Research Council (U.S.)
Publisher :
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Reprint and Circular Series of the National Research Council by : National Research Council (U.S.)

Download or read book Reprint and Circular Series of the National Research Council written by National Research Council (U.S.) and published by . This book was released on 1925 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis of Divergence

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Author : William Bray
Publisher : Springer Science & Business Media
ISBN 13 : 1461222362
Total Pages : 568 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis Analysis of Divergence by : William Bray

Download or read book Analysis of Divergence written by William Bray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th International Workshop in Analysis and its Applications (IWAA) was held at the University of Maine, June 1-6, 1997 and featured approxi mately 60 mathematicians. The principal theme of the workshop shares the title of this volume and the latter is a direct outgrowth of the workshop. IWAA was founded in 1984 by Professor Caslav V. Stanojevic. The first meeting was held in the resort complex Kupuri, Yugoslavia, June 1-10, 1986, with two pilot meetings preceding. The Organization Committee to gether with the Advisory Committee (R. P. Boas, R. R. Goldberg, J. P. Kahne) set forward the format and content of future meetings. A certain number of papers were presented that later appeared individually in such journals as the Proceedings of the AMS, Bulletin of the AMS, Mathematis chen Annalen, and the Journal of Mathematical Analysis and its Applica tions. The second meeting took place June 1-10, 1987, at the same location. At the plenary session of this meeting it was decided that future meetings should have a principal theme. The theme for the third meeting (June 1- 10, 1989, Kupuri) was Karamata's Regular Variation. The principal theme for the fourth meeting (June 1-10, 1990, Kupuri) was Inner Product and Convexity Structures in Analysis, Mathematical Physics, and Economics. The fifth meeting was to have had the theme, Analysis and Foundations, organized in cooperation with Professor A. Blass (June 1-10, 1991, Kupuri).

Harmonic Analysis and Nonlinear Differential Equations

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Author : Victor Lenard Shapiro
Publisher : American Mathematical Soc.
ISBN 13 : 0821805657
Total Pages : 366 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Harmonic Analysis and Nonlinear Differential Equations by : Victor Lenard Shapiro

Download or read book Harmonic Analysis and Nonlinear Differential Equations written by Victor Lenard Shapiro and published by American Mathematical Soc.. This book was released on 1997 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are also several survey articles on recent developments in multiple trigonometric series, dyadic harmonic analysis, special functions, analysis on fractals, and shock waves, as well as papers with new results in nonlinear differential equations. These survey articles, along with several of the research articles, cover a wide variety of applications such as turbulence, general relativity and black holes, neural networks, and diffusion and wave propagation in porous media.

The Theory of Functions of a Real Variable and the Theory of Fourier's Series

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Author : Ernest William Hobson
Publisher :
ISBN 13 :
Total Pages : 802 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis The Theory of Functions of a Real Variable and the Theory of Fourier's Series by : Ernest William Hobson

Download or read book The Theory of Functions of a Real Variable and the Theory of Fourier's Series written by Ernest William Hobson and published by . This book was released on 1926 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of Functions of a Real Variable and the Theory of Fourier's Series

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Author : Ernest William Hobson
Publisher : CUP Archive
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4./5 ( download)

Book Synopsis The Theory of Functions of a Real Variable and the Theory of Fourier's Series by : Ernest William Hobson

Download or read book The Theory of Functions of a Real Variable and the Theory of Fourier's Series written by Ernest William Hobson and published by CUP Archive. This book was released on 1927 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Revue Semestrielle Des Publications Mathématiques

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Author :
Publisher :
ISBN 13 :
Total Pages : 582 pages
Book Rating : 4.:/5 (43 download)

Book Synopsis Revue Semestrielle Des Publications Mathématiques by :

Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1927 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Doctorates Conferred in the Sciences by American Universities

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Author : National Research Council (U.S.). Research Information Service
Publisher :
ISBN 13 :
Total Pages : 516 pages
Book Rating : 4.:/5 (37 download)

Book Synopsis Doctorates Conferred in the Sciences by American Universities by : National Research Council (U.S.). Research Information Service

Download or read book Doctorates Conferred in the Sciences by American Universities written by National Research Council (U.S.). Research Information Service and published by . This book was released on 1922 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Doctorates Conferred in the Sciences

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Author : National Research Council (U.S.). Research Information Service
Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.A/5 ( download)

Book Synopsis Doctorates Conferred in the Sciences by : National Research Council (U.S.). Research Information Service

Download or read book Doctorates Conferred in the Sciences written by National Research Council (U.S.). Research Information Service and published by . This book was released on 1927 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Catalogue of Scientific Literature

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Author :
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (321 download)

Book Synopsis International Catalogue of Scientific Literature by :

Download or read book International Catalogue of Scientific Literature written by and published by . This book was released on 1915 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Catalogue of Scientific Literature, 1901-1914

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Author :
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (5 download)

Book Synopsis International Catalogue of Scientific Literature, 1901-1914 by :

Download or read book International Catalogue of Scientific Literature, 1901-1914 written by and published by . This book was released on 1915 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: