A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases


A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases
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A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases


A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases
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Author : Sergeĭ Viktorovich Bochkarev
language : en
Publisher: American Mathematical Soc.
Release Date : 1980

A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases written by Sergeĭ Viktorovich Bochkarev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.


"Investigate various forms of convergence of Fourier series in general orthonormal systems as well as certain problems in the theory of bases" -- Introduction.



A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases


A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases
DOWNLOAD
FREE 30 Days

Author : Sergej V. Bočkarev
language : en
Publisher:
Release Date : 1980

A Method Of Averaging In The Theory Of Orthogonal Series And Some Problems In The Theory Of Bases written by Sergej V. Bočkarev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.




Probability Theory Function Theory Mechanics


Probability Theory Function Theory Mechanics
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Author : I︠U︡riĭ Vasilʹevich Prokhorov
language : en
Publisher: American Mathematical Soc.
Release Date : 1990

Probability Theory Function Theory Mechanics written by I︠U︡riĭ Vasilʹevich Prokhorov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


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.



Orthogonal Series


Orthogonal Series
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Author : B. S. Kashin
language : en
Publisher: American Mathematical Soc.
Release Date : 2005-04-26

Orthogonal Series written by B. S. Kashin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-26 with Mathematics categories.


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



Orthogonal Series And Approximation Of Functions


Orthogonal Series And Approximation Of Functions
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Author : Sergej Michajlovic Nikol'skij
language : en
Publisher: American Mathematical Soc.
Release Date : 1985-12-15

Orthogonal Series And Approximation Of Functions written by Sergej Michajlovic Nikol'skij and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-12-15 with Mathematics categories.




Walsh Series And Transforms


Walsh Series And Transforms
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Author : B. Golubov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Walsh Series And Transforms written by B. Golubov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


'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.



Conjugate Duality And The Exponential Fourier Spectrum


Conjugate Duality And The Exponential Fourier Spectrum
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Author : W. Britton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Conjugate Duality And The Exponential Fourier Spectrum written by W. Britton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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.



Banach Spaces For Analysts


Banach Spaces For Analysts
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Author : P. Wojtaszczyk
language : en
Publisher: Cambridge University Press
Release Date : 1996-08

Banach Spaces For Analysts written by P. Wojtaszczyk and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08 with Mathematics categories.


This book is intended to be used with graduate courses in Banach space theory.



Harmonic Analysis On The Real Line


Harmonic Analysis On The Real Line
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Author : Elijah Liflyand
language : en
Publisher: Springer Nature
Release Date : 2021-09-27

Harmonic Analysis On The Real Line written by Elijah Liflyand and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Mathematics categories.


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.



Commutative Harmonic Analysis I


Commutative Harmonic Analysis I
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Author : V.P. Khavin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Commutative Harmonic Analysis I written by V.P. Khavin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


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.