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This note explains the following topics: The hardy Littlewood maximal function, Singular integral operators of convolution type, Singular integral operators acting on Banach space valued functions, Littlewood paley theory, Some applications of LP theory, BMO and the Hardy space H1, Almost orthogonality, Singular integral operators not of convolution type, Applications of dyadic decompositions and paraproducts, Fourier transform restriction.
Author(s): Mark Williams
85 Pages
An Introduction to Harmonic Analysis by Yitzhak Katznelson
This note describes fourier series on T, The convergence of fourier series, The conjugate function, Interpolation of linear operators, lacunary series and quasi analytic classes, Fourier transforms on the line, Fourier analysis on locally compact abelian groups, Commutative Banach algebra.
Author(s): Yitzhak Katznelson
299 Pages
A Course in Harmonic Analysis by Jason Murphy
This PDF book covers the following topics related to Harmonic Analysis : Introduction, Fourier analysis, Abstract Fourier analysis, Wavelet transforms, Classical harmonic analysis, part I, Classical harmonic analysis, part II, Semiclassical and microlocal analysis, Sharp inequalities, Restriction theory and related topics, Additional topics.
Author(s): Jason Murphy, Missouri University of Science and Technology
303 Pages
Lecture Notes on Introduction to Harmonic Analysis
This note explains the following topics: The Fourier Transform and Tempered Distributions, Interpolation of Operators, The Maximal Function and Calderon-Zygmund Decomposition, Singular Integrals, Riesz Transforms and Spherical Harmonics, The Littlewood-Paley g-function and Multipliers, Sobolev Spaces.
Author(s): Chengchun Hao
217 Pages
Lecture notes harmonic analysis
This book covers the following topics: Fourier transform on L1, Tempered distribution, Fourier transform on L2, Interpolation of operators, Hardy-Littlewood maximal function, Singular integrals, Littlewood-Paley theory, Fractional integration, Singular multipliers, Bessel functions, Restriction to the sphere and Uniform sobolev inequality.
Author(s): Russell Brown
114 Pages
Manual of harmonic analysis and prediction of tides
This book was designed primarily as a working manual for use in the United States Coast and Geodetic Survey and describes the procedure used in this office for the harmonic analysis and prediction of tides and tidal currents.
Author(s): Paul Schureman
340 Pages
This book explains the following topics: Fourier transform, Schwartz space, Pointwise Poincare inequalities, Fourier inversion and Plancherel, Uncertainty Principle, Stationary phase, Restriction problem, Hausdorff measures, Sets with maximal Fourier dimension and distance sets.
Author(s): Thomas H. Wolf
85 Pages
Harmonic Analysis and Partial Differential Equations
We are working on the detailed description of this book, we will update this section soon.
Author(s): NA
NA Pages
