Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
Harmonic Analysis Lecture Notes
This textbook presents more than any professor can cover in class. The first part of the note emphasizes Fourier series, since so many aspects of harmonic analysis arise already in that classical context. Topics covered includes: Fourier series, Fourier coefficients, Fourier integrals,Fourier transforms, Hilbert and Riesz transforms, Fourier series and integrals, Band limited functions, Band limited functions, Periodization and Poisson summation.
Author(s): Richard S. Laugesen
176 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 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
This book explains the following topics: Fourier Series of a periodic function, Convolution and Fourier Series, Fourier Transforms on Rd, Multipliers and singular integral operators, Sobolev Spaces, Theorems of Paley-Wiener and Wiener, Hardy Spaces. Prediction, Compact Groups. Peter-Weyl Theorem, Representations of groups, Fourier series and integrals, Partial differential equations in physics, Singular integrals and differentiability properties of functions.
Author(s): S.R.Srinivasa Varadhan
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA PagesAdvertisement
