Fourier analysis and distribution theory by Pu Zhao Kow

This PDF covers
the following topics related to Fourier Analysis : Fourier series, Weak
derivatives, 1-dimensional Fourier series, n-dimensional Fourier series,
Pointwise convergence and Gibbs-Wilbraham phenomenon,Absolute convergence and
uniform convergence, Pointwise convergence: Dini's criterion,. Cesàro
summability of Fourier series, Fourier transform, Motivations, Schwartz space,
Fourier transform on Schwartz space, The space of tempered distributions,The
space of compactly supported distributions, Convolution of functions, Tensor products, Convolution of
distributions, Convolution between distributions and functions, Convolution of
distributions with non-compact supports, etc.

**Author(s):** Pu-Zhao Kow, Department
of Mathematics and Statistics, University of Jyvaskyla, Finland

67 Pages