Explorations in Harmonic Analysis

Notes on harmonic analysis

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

Explorations in Harmonic Analysis

This PDF book covers the following topics related to Harmonic Analysis : Ontology and History of Real Analysis, Advanced Ideas: The Hilbert Transform, Essentials of the Fourier Transform, Fourier Multipliers, Fractional and Singular Integrals, Several Complex Variables, Canonical Complex Integral Operators, Hardy Spaces Old and New, Introduction to the Heisenberg Group, Analysis on the Heisenberg Group.

Author(s): Steven G. Krantz

451 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

Lectures In Harmonic Analysis

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