Download or read book Trigonometric Fourier Series and Their Conjugates written by L. Zhizhiashvili and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in the theory of trigonometric series has been carried out for over two centuries. The results obtained have greatly influenced various fields of mathematics, mechanics, and physics. Nowadays, the theory of simple trigonometric series has been developed fully enough (we will only mention the monographs by Zygmund [15, 16] and Bari [2]). The achievements in the theory of multiple trigonometric series look rather modest as compared to those in the one-dimensional case though multiple trigonometric series seem to be a natural, interesting and promising object of investigation. We should say, however, that the past few decades have seen a more intensive development of the theory in this field. To form an idea about the theory of multiple trigonometric series, the reader can refer to the surveys by Shapiro [1], Zhizhiashvili [16], [46], Golubov [1], D'yachenko [3]. As to monographs on this topic, only that ofYanushauskas [1] is known to me. This book covers several aspects of the theory of multiple trigonometric Fourier series: the existence and properties of the conjugates and Hilbert transforms of integrable functions; convergence (pointwise and in the LP-norm, p > 0) of Fourier series and their conjugates, as well as their summability by the Cesaro (C,a), a> -1, and Abel-Poisson methods; approximating properties of Cesaro means of Fourier series and their conjugates.

Download or read book House documents written by and published by . This book was released on 1888 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Report of the Superintendent of the U S Coast and Geodetic Survey Showing the Progress of the Work During the Fiscal Year Ending with written by U.S. Coast and Geodetic Survey and published by . This book was released on 1889 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Report of the Superintendent Showing the Progress of the Work written by U.S. Coast and Geodetic Survey and published by . This book was released on 1903 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Senate documents written by and published by . This book was released on 1889 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annual Report of the Director of the Coast and Geodetic Survey written by U.S. Coast and Geodetic Survey and published by . This book was released on 1903 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annual Report of the Directory written by United States. Coast and Geodetic Survey and published by . This book was released on 1889 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annual Report of the Director written by U.S. Coast and Geodetic Survey and published by . This book was released on 1889 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elements of Plane Trigonometry Surveying and Navigation written by William Smyth and published by . This book was released on 1855 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Real Analysis written by N. L. Carothers and published by Cambridge University Press. This book was released on 2000-08-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.

Download or read book Annual Report written by U.S. Coast and Geodetic Survey and published by . This book was released on 1903 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annual Report of the Director United States Coast and Geodetic Survey to the Secretary of Commerce written by U.S. Coast and Geodetic Survey and published by . This book was released on 1889 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Bibliography of Geodesy written by James Howard Gore and published by . This book was released on 1889 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Harmonic Analysis Partial Differential Equations Complex Analysis Banach Spaces and Operator Theory Volume 1 written by María Cristina Pereyra and published by Springer. This book was released on 2016-09-15 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fields, and features fully-refereed, high-quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, and partial differential equations. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. Another shared research interest of the contributors of this volume lies in the area of applied harmonic analysis, where a new notion called chromatic derivatives has recently been introduced in communication engineering. The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6, 2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional mathematician and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.

Download or read book Functional Analysis Surveys and Recent Results III written by K.-D. Bierstedt and published by Elsevier. This book was released on 2000-04-01 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas. Some of the papers have connections with complex function theory in one and several variables, probability theory and mathematical physics.Surveys of some areas of recent progress in functional analysis are given and related new results are presented. The topics covered in this volume supplement the discussion of modern functional analysis in the previous Proceedings volumes. Together with the previous volumes, the reader obtains a good impression of many aspects of present-day functional analysis and its applications. Parts of this volume can be used profitably in advanced seminars and courses in functional analysis.

Download or read book Topics in Harmonic Analysis and Ergodic Theory written by Joseph Rosenblatt and published by American Mathematical Soc.. This book was released on 2007 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are strong connections between harmonic analysis and ergodic theory. A recent example of this interaction is the proof of the spectacular result by Terence Tao and Ben Green that the set of prime numbers contains arbitrarily long arithmetic progressions. This text presents a series of essays on the topic.