Free Harmonic Analysis ebooks. Categorized directory of free Harmonic Analysis books. Read online or download free ebooks in different formats.
15 results - showing 1 - 10
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Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem by J. Delsarte
 
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Author
J. Delsarte
Publisher
Tata Institute of Fundamental Research 1961
Subjects treated: transmutations of singular differential operators of the second order in the real case; new results on the theory of mean periodic functions; proof of the two-radius theorem, which is the converse of Gauss's classical theorem on the spherical mean for harmonic functions.
Lectures on Potential Theory by M. Brelot
 
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Author
M. Brelot
Publisher
Tata Institute of Fundamental Research 1967
In the following we shall develop some results of the axiomatic approaches to potential theory principally some convergence theorems; they may be used as fundamental tools and applied to classical case as we shall indicate sometimes. We do not presuppose anything of even classical theory.
Lectures on Mean Periodic Functions by J.P. Kahane
 
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Author
J.P. Kahane
Publisher
Tata Institute of Fundamental Research 1959
Mean periodic functions are a generalization of periodic functions. The book considers questions about periodic functions such as Fourier-series, harmonic analysis, the problems of uniqueness, approximation and quasi-analyticity, as problems on mean periodic functions.
Notes on Harmonic Analysis by George Benthien
 
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Author
George Benthien
Publisher
2006
Tutorial discussing some of the numerical aspects of practical harmonic analysis. Topics include Historical Background, Fourier Series and Integral Approximations,
An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics by William Elwood Byerly
 
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Author
William Elwood Byerly
Publisher
Ginn and company 1893
From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; Laplace's Equation in Curvilinear Coordinates. Ellipsoidal Harmonics.
Spherical Harmonics in p Dimensions by Christopher Frye, Costas J. Efthimiou
 
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Author
Christopher Frye, Costas J. Efthimiou
Publisher
arXiv 2012
The authors prepared this booklet in order to make several useful topics from the theory of special functions, in particular the spherical harmonics and Legendre polynomials for any dimension, available to undergraduates studying physics or mathematics. 
Lectures on Harmonic Analysis by Thomas Wolff
 
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Author
Thomas Wolff
Publisher
American Mathematical Society 2003
This book provides an inside look at the techniques used and developed by Wolff. It is based on a graduate course on Fourier analysis he taught at Caltech. The book demonstrates how harmonic analysis can provide penetrating insights into deep aspects of modern analysis. ...
Harmonic Analysis by S.R.S. Varadhan
 
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Author
S.R.S. Varadhan
Publisher
New York University 2019
Fourier Series of a periodic function. Fejer kernel. Convergence Properties. Convolution and Fourier Series. Heat Equation. Diagonalization of convolution operators. Fourier Transforms on Rd. Multipliers and singular integral operators. Interpolation.
Harmonic Analysis by Russell Brown
 
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Author
Russell Brown
Publisher
University of Kentucky 2009
These notes are intended for a course in harmonic analysis on Rn which was offered to graduate students at the University of Kentucky in Spring of 2001. The background for this course is a course in real analysis which covers measure theory and the basic facts of life related...
Nonlinear Fourier Analysis by Terence Tao, Christoph Thiele
 
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Author
Terence Tao, Christoph Thiele
Publisher
arXiv 2012
The nonlinear Fourier transform discussed in these notes is the map from the potential of a one dimensional discrete Dirac operator to the transmission and reflection coefficients thereof. 
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