**Notes on Harmonic Analysis**

by George Benthien

2006**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.

Download or read it online for free here:

**Download link**

(370KB, PDF)

## Similar books

**Linear Partial Differential Equations and Fourier Theory**

by

**Marcus Pivato**-

**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)

**Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem**

by

**J. Delsarte**-

**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)

**Spherical Harmonics in p Dimensions**

by

**Christopher Frye, Costas J. Efthimiou**-

**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)

**Chebyshev and Fourier Spectral Methods**

by

**John P. Boyd**-

**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)