Logo

Notes on Harmonic Analysis by George Benthien

Small book cover: Notes on Harmonic Analysis

Notes on Harmonic Analysis
by


Number of pages: 74

Description:
Tutorial discussing some of the numerical aspects of practical harmonic analysis. Topics include Historical Background, Fourier Series and Integral Approximations, Convergence Improvement, Differentiation of Fourier Series and Sigma Factors, Chebyshev Polynomial Approximations, The Tau Method, Fast Fourier Transforms, and Fast Sine or Cosine Transforms.

Home page url

Download or read it online for free here:
Download link
(370KB, PDF)

Similar books

Book cover: Linear Partial Differential Equations and Fourier TheoryLinear Partial Differential Equations and Fourier Theory
by - Cambridge University Press
Textbook for an introductory course on linear partial differential equations and boundary value problems. It also provides introduction to basic Fourier analysis and functional analysis. Written for third-year undergraduates in mathematical sciences.
(24877 views)
Book cover: Lectures on Topics in Mean Periodic Functions and the Two-Radius TheoremLectures on Topics in Mean Periodic Functions and the Two-Radius Theorem
by - Tata Institute of Fundamental Research
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.
(6135 views)
Book cover: Spherical Harmonics in p DimensionsSpherical Harmonics in p Dimensions
by - arXiv
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 physics or mathematics undergraduates.
(6225 views)
Book cover: Chebyshev and Fourier Spectral MethodsChebyshev and Fourier Spectral Methods
by - Dover Publications
The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.
(15566 views)