Lectures on the Fourier transform and its applications /
[Book]
Brad G. Osgood.
Providence, Rhode Island :
American Mathematical Society,
[2019]
xvi, 693 pages :
illustrations ;
27 cm.
Pure and applied undergraduate texts ;
The Sally series
33
Includes an index.
TABLE OF CONTENTS :
1
Fourier transformations.
Transformations (Mathematics)
Fourier transformations.
Functional analysis -- Distributions, generalized functions, distribution spaces -- Operations with distributions.
Harmonic analysis on Euclidean spaces -- Harmonic analysis in one variable -- Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type.
Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type.
Information and communication, circuits -- Communication, information -- Sampling theory.
Numerical analysis -- Numerical methods in Fourier analysis -- Discrete and fast Fourier transforms.