NAME: Sergei Suslov


EMAIL ADDRESS: sks@asu.edu 

TITLE OF TALK:
Basic Fourier Series: Introduction, Analytic and Numerical Investigation

ABSTRACT OF TALK:
The study of Fourier series has a long and distinguished history in
mathematics.  They were introduced in order to solve the heat equation, 
and since then they have been frequently used in various applied problems. 
Much of modern real analysis including Lebesgue's fundamental theory of 
integration had its origin in some deep convergence questions in Fourier series.
An interesting extension of Fourier series was discovered recently. 
In this talk we intend to lay a sound foundation for this study. 
We introduce basic Fourier series, investigate their main properties, 
and discuss some applications. We discuss also several computational aspects 
of basic Fourier series. Interesting open problems and further extensions 
of the theory will be given.