Mathematical-Analysis BooksFourier Analysis Books

# Fourier Analysis and Related Topics

## Fourier Analysis and Related Topics Fourier Analysis and Related Topics

Aim of this note is to provide mathematical tools used in applications, and a certain theoretical background that would make other parts of mathematical analysis accessible to the student of physical science. Topics covered includes: Power series and trigonometric series, Fourier integrals, Pointwise convergence of Fourier series, Summability of Fourier series, Periodic distributions and Fourier series, Metric, normed and inner product spaces, Orthogonal expansions and Fourier series, Classical orthogonal systems and series, Eigenvalue problems related to differential equations, Fourier transformation of well-behaved functions, Fourier transformation of tempered distributions, General distributions and Laplace transforms.

Author(s): 341 Pages ##### Similar Books

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This note starts by introducing the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. It introduces the Fourier and Window Fourier Transform, the classical tools for function analysis in the frequency domain. 210 Pages

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