The Continuous Boundary Local Trigonometric Transform


The Continuous Boundary Local Trigonometric Transform
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The Continuous Boundary Local Trigonometric Transform


The Continuous Boundary Local Trigonometric Transform
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Author : Brons Michael Larson
language : en
Publisher:
Release Date : 2002

The Continuous Boundary Local Trigonometric Transform written by Brons Michael Larson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.




Dissertation Abstracts International


Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 2004

Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Dissertations, Academic categories.




Adapted Wavelet Analysis


Adapted Wavelet Analysis
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Author : Mladen Victor Wickerhauser
language : en
Publisher: CRC Press
Release Date : 1996-04-17

Adapted Wavelet Analysis written by Mladen Victor Wickerhauser and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-17 with Mathematics categories.


This detail-oriented text is intended for engineers and applied mathematicians who must write computer programs to perform wavelet and related analysis on real data. It contains an overview of mathematical prerequisites and proceeds to describe hands-on programming techniques to implement special programs for signal analysis and other applications. From the table of contents: - Mathematical Preliminaries - Programming Techniques - The Discrete Fourier Transform - Local Trigonometric Transforms - Quadrature Filters - The Discrete Wavelet Transform - Wavelet Packets - The Best Basis Algorithm - Multidimensional Library Trees - Time-Frequency Analysis - Some Applications - Solutions to Some of the Exercises - List of Symbols - Quadrature Filter Coefficients



Topics In Analysis And Its Applications


Topics In Analysis And Its Applications
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Author : R Coifman
language : en
Publisher: World Scientific
Release Date : 2000-06-21

Topics In Analysis And Its Applications written by R Coifman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-21 with Mathematics categories.


This book contains five theses in analysis, by A C Gilbert, N Saito, W Schlag, T Tao and C M Thiele. It covers a broad spectrum of modern harmonic analysis, from Littlewood–Paley theory (wavelets) to subtle interactions of geometry and Fourier oscillations. The common theme of the theses involves intricate local Fourier (or multiscale) decompositions of functions and operators to account for cumulative properties involving size or structure. Contents:Lp → Lq Estimates for the Circular Maximal Function (W Schlag)Three Regularity Results in Harmonic Analysis (T Tao)Time-Frequency Analysis in the Discrete Phase Plane (C M Thiele)Multiresolution Homogenization Schemes for Differential Equations and Applications (A C Gilbert)Local Feature Extraction and Its Applications Using a Library of Bases (N Saito) Readership: Researchers in the fields of analysis & differential equations, signal processing and applied mathematics. Keywords:Harmonic Analysis;Multilinear Singular Integrals;Walsh Functions;Convergence of Fourier Series;Fast Walsh Transform;Bilinear Hilbert Transform



Wavelet Analysis And Applications


Wavelet Analysis And Applications
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Author : Tao Qian
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-24

Wavelet Analysis And Applications written by Tao Qian 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 2007-02-24 with Mathematics categories.


This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics. Key topics: Approximation and Fourier Analysis Construction of Wavelets and Frame Theory Fractal and Multifractal Theory Wavelets in Numerical Analysis Time-Frequency Analysis Adaptive Representation of Nonlinear and Non-stationary Signals Applications, particularly in image processing Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike.



Probability Measures On Locally Compact Groups


Probability Measures On Locally Compact Groups
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Author : H. Heyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Probability Measures On Locally Compact Groups written by H. Heyer 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.


Probability measures on algebraic-topological structures such as topological semi groups, groups, and vector spaces have become of increasing importance in recent years for probabilists interested in the structural aspects of the theory as well as for analysts aiming at applications within the scope of probability theory. In order to obtain a natural framework for a first systematic presentation of the most developed part of the work done in the field we restrict ourselves to prob ability measures on locally compact groups. At the same time we stress the non Abelian aspect. Thus the book is concerned with a set of problems which can be regarded either from the probabilistic or from the harmonic-analytic point of view. In fact, it seems to be the synthesis of these two viewpoints, the initial inspiration coming from probability and the refined techniques from harmonic analysis which made this newly established subject so fascinating. The goal of the presentation is to give a fairly complete treatment of the central limit problem for probability measures on a locally compact group. In analogy to the classical theory the discussion is centered around the infinitely divisible probability measures on the group and their relationship to the convergence of infinitesimal triangular systems.



Potential Theory On Locally Compact Abelian Groups


Potential Theory On Locally Compact Abelian Groups
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Author : C. van den Berg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Potential Theory On Locally Compact Abelian Groups written by C. van den Berg 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.


Classical potential theory can be roughly characterized as the study of Newtonian potentials and the Laplace operator on the Euclidean space JR3. It was discovered around 1930 that there is a profound connection between classical potential 3 theory and the theory of Brownian motion in JR . The Brownian motion is determined by its semigroup of transition probabilities, the Brownian semigroup, and the connection between classical potential theory and the theory of Brownian motion can be described analytically in the following way: The Laplace operator is the infinitesimal generator for the Brownian semigroup and the Newtonian potential kernel is the" integral" of the Brownian semigroup with respect to time. This connection between classical potential theory and the theory of Brownian motion led Hunt (cf. Hunt [2]) to consider general "potential theories" defined in terms of certain stochastic processes or equivalently in terms of certain semi groups of operators on spaces of functions. The purpose of the present exposition is to study such general potential theories where the following aspects of classical potential theory are preserved: (i) The theory is defined on a locally compact abelian group. (ii) The theory is translation invariant in the sense that any translate of a potential or a harmonic function is again a potential, respectively a harmonic function; this property of classical potential theory can also be expressed by saying that the Laplace operator is a differential operator with constant co efficients.



Transforms And Applications Handbook


Transforms And Applications Handbook
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Author : Alexander D. Poularikas
language : en
Publisher: CRC Press
Release Date : 2018-09-03

Transforms And Applications Handbook written by Alexander D. Poularikas and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Mathematics categories.


Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications. Revisiting transforms previously covered, this book adds information on other important ones, including: Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite Fraction Fourier Zak Continuous and discrete Chirp-Fourier Multidimensional discrete unitary Hilbert-Huang Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.



Applied Mechanics Reviews


Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1974

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mechanics, Applied categories.




Systems And Computer Technology


Systems And Computer Technology
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Author : Yunfei Chen
language : en
Publisher: CRC Press
Release Date : 2015-09-17

Systems And Computer Technology written by Yunfei Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-17 with Computers categories.


This volume consists of papers presented at the 2014 International Symposium on Systems and Computer Technology (ISSCT 2014, Shanghai, China, 15-17 November 2014). The demand for systems and informatics have been constantly increasing, as more and more computer applications have been built. Great efforts have been made to improve the state of the a