*********************Math 663 - Seminar in Analysis, Spring Semester 2018*
*Topics in Classical Fourier Analysis*
*Instructor: Sivakumar*
Enriched by the work of many renowned masters, Fourier Analysis is an old
and charming field of mathematics, one for which the instructor has a
marked affinity. The proposed course will discuss what little he knows of
this vast and multi-faceted subject, from the standpoint of classical
analysis. The intention is to cover elements of the following topics:
Fourier Series, Fourier Transforms, and Distribution Theory. Familiarity
with some measure theory (as encountered in a course such as Math 447 or
Math 607) will be assumed. A bit of complex analysis will make an
appearance at some stage, but it is not a prerequisite for the most part.
The material ought to appeal to those who are interested in classical
analysis, as well as to those whose studies involve subjects which call
upon Fourier Analysis as a tool.
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