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A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases
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Book Synopsis A Method of Averaging in the Theory of Orthogonal Series and Some Problems in the Theory of Bases by : Sergeĭ Viktorovich Bochkarev
Download or read book A Method of Averaging in the Theory of Orthogonal Series and Some Problems in the Theory of Bases written by Sergeĭ Viktorovich Bochkarev and published by American Mathematical Soc.. This book was released on 1980 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Investigate various forms of convergence of Fourier series in general orthonormal systems as well as certain problems in the theory of bases" -- Introduction.
Book Synopsis A Method of Averaging in the Theory of Orthogonal Series and Some Problems in the Theory of Bases by : Sergej V. Bočkarev
Download or read book A Method of Averaging in the Theory of Orthogonal Series and Some Problems in the Theory of Bases written by Sergej V. Bočkarev and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Probability Theory, Function Theory, Mechanics by : I︠U︡riĭ Vasilʹevich Prokhorov
Download or read book Probability Theory, Function Theory, Mechanics written by I︠U︡riĭ Vasilʹevich Prokhorov and published by American Mathematical Soc.. This book was released on 1990 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a translation of the fifth and final volume in a special cycle of publications in commemoration of the 50th anniversary of the Steklov Mathematical Institute of the Academy of Sciences in the USSR. The purpose of the special cycle was to present surveys of work on certain important trends and problems pursued at the Institute. Because the choice of the form and character of the surveys were left up to the authors, the surveys do not necessarily form a comprehensive overview, but rather represent the authors' perspectives on the important developments.
Download or read book Orthogonal Series written by B. S. Kashin and published by American Mathematical Soc.. This book was released on 2005-04-26 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory concepts and some general results Independent functions and their first applications The Haar system Some results on the trigonometric and Walsh systems The Hilbert transform and some function spaces The Faber-Schauder and Franklin systems Orthogonalization and factorization theorems Theorems on the convergence of general orthogonal series General theorems on the divergence of orthogonal series Some theorems on the representation of functions by orthogonal series
Book Synopsis Orthogonal Series and Approximation of Functions by : Sergej Michajlovic Nikol'skij
Download or read book Orthogonal Series and Approximation of Functions written by Sergej Michajlovic Nikol'skij and published by American Mathematical Soc.. This book was released on 1985-12-15 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Walsh Series and Transforms by : B. Golubov
Download or read book Walsh Series and Transforms written by B. Golubov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y se.rais point aile.' human race. It has put common sense back Jules Verne where it belongs, on!be topmost shelf next to the dusty canister labelled 'disc:arded non sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Book Synopsis Conjugate Duality and the Exponential Fourier Spectrum by : W. Britton
Download or read book Conjugate Duality and the Exponential Fourier Spectrum written by W. Britton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: For some fields such as econometrics (Shore, 1980), oil prospecting (Claerbout, 1976), speech recognition (Levinson and Lieberman, 1981), satellite monitoring (Lavergnat et al., 1980), epilepsy diagnosis (Gersch and Tharp, 1977), and plasma physics (Bloomfield, 1976), there is a need to obtain an estimate of the spectral density (when it exists) in order to gain at least a crude understanding of the frequency content of time series data. An outstanding tutorial on the classical problem of spectral density estimation is given by Kay and Marple (1981). For an excellent collection of fundamental papers dealing with modern spec tral density estimation as well as an extensive bibliography on other fields of application, see Childers (1978). To devise a high-performance sample spectral density estimator, one must develop a rational basis for its construction, provide a feasible algorithm, and demonstrate its performance with respect to prescribed criteria. An algorithm is certainly feasible if it can be implemented on a computer, possesses computational efficiency (as measured by compu tational complexity analysis), and exhibits numerical stability. An estimator shows high performance if it is insensitive to violations of its underlying assumptions (i.e., robust), consistently shows excellent frequency resolutipn under realistic sample sizes and signal-to-noise power ratios, possesses a demonstrable numerical rate of convergence to the true population spectral density, and/or enjoys demonstrable asymp totic statistical properties such as consistency and efficiency.
Book Synopsis Banach Spaces for Analysts by : P. Wojtaszczyk
Download or read book Banach Spaces for Analysts written by P. Wojtaszczyk and published by Cambridge University Press. This book was released on 1996-08 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be used with graduate courses in Banach space theory.
Book Synopsis Harmonic Analysis on the Real Line by : Elijah Liflyand
Download or read book Harmonic Analysis on the Real Line written by Elijah Liflyand and published by Springer Nature. This book was released on 2021-09-27 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sketches a path for newcomers into the theory of harmonic analysis on the real line. It presents a collection of both basic, well-known and some less known results that may serve as a background for future research around this topic. Many of these results are also a necessary basis for multivariate extensions. An extensive bibliography, as well as hints to open problems are included. The book can be used as a skeleton for designing certain special courses, but it is also suitable for self-study.
Book Synopsis Commutative Harmonic Analysis I by : V.P. Khavin
Download or read book Commutative Harmonic Analysis I written by V.P. Khavin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first in the series devoted to the commutative harmonic analysis, a fundamental part of the contemporary mathematics. The fundamental nature of this subject, however, has been determined so long ago, that unlike in other volumes of this publication, we have to start with simple notions which have been in constant use in mathematics and physics. Planning the series as a whole, we have assumed that harmonic analysis is based on a small number of axioms, simply and clearly formulated in terms of group theory which illustrate its sources of ideas. However, our subject cannot be completely reduced to those axioms. This part of mathematics is so well developed and has so many different sides to it that no abstract scheme is able to cover its immense concreteness completely. In particular, it relates to an enormous stock of facts accumulated by the classical "trigonometric" harmonic analysis. Moreover, subjected to a general mathematical tendency of integration and diffusion of conventional intersubject borders, harmonic analysis, in its modem form, more and more rests on non-translation invariant constructions. For example, one ofthe most signifi cant achievements of latter decades, which has substantially changed the whole shape of harmonic analysis, is the penetration in this subject of subtle techniques of singular integral operators.
Book Synopsis Theory of Functions by : Sergeĭ Mikhaĭlovich Nikolʹskiĭ
Download or read book Theory of Functions written by Sergeĭ Mikhaĭlovich Nikolʹskiĭ and published by American Mathematical Soc.. This book was released on 1992 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 190, issue 1 of 4. Translated from the Russian. Comprises materials of the All-Union School on the Theory of Functions (October 1987, Amberd), presenting papers on the coefficients of cosine series with nonnegative partial sums, bases in function spaces and the Franklin system, vectors with c
Book Synopsis Catalogue, Books and Journals in Advanced Mathematics by : American Mathematical Society
Download or read book Catalogue, Books and Journals in Advanced Mathematics written by American Mathematical Society and published by . This book was released on 1985 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Function Spaces, Approximation Theory, and Nonlinear Analysis by : Evgenij F. Miščenko
Download or read book Function Spaces, Approximation Theory, and Nonlinear Analysis written by Evgenij F. Miščenko and published by . This book was released on 2006 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Papers by : Joseph L. Walsh
Download or read book Selected Papers written by Joseph L. Walsh and published by Springer Science & Business Media. This book was released on 2000-02-11 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a selection from the 281 published papers of Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. The nine broad sections are ordered following the evolution of his work. Commentaries and discussions of subsequent development are appended to most of the sections. Also included is one of Walsh's most influential works, "A closed set of normal orthogonal function," which introduced what is now known as "Walsh Functions".
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.
Download or read book Mathematical Reviews written by and published by . This book was released on 1995 with total page 1320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Decay of the Fourier Transform by : Alex Iosevich
Download or read book Decay of the Fourier Transform written by Alex Iosevich and published by Springer. This book was released on 2014-10-01 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
