M3/4P18 Fourier Analysis and Theory of Distributions 2018
The main goal of this course is to give an introduction to basic facts of Theory
Office hour: Mondays 12:00-13:00
Spaces of test functions and distributions.
Poisson's summation formula
Convolutions of distributions.
Wave group for Harmonic oscillator
Stationary phase method
Basic Sobolev Inequalities, Sobolev spaces.
Lectures - week 1
Lectures - week 2
Lectures - week 3
Lectures - week 4
Lectures - week 5
Lectures - week 6
Lectures - week 7
Lectures - week 8-9
Course work 1
The deadline for the first corsework is Friday, February 23 before 16:00.
Course work 2
The deadline for the second corsework is Monday, March 12 before 16:00.
The Analysis of Linear Partial Differential Operators v.I
Distribution Theory and Fourier Analysis
Springer, Second Edition 1990.
M. Reed and B. Simon,
Methods of modern mathematical physics. I. Functional Analysis,
Academic Press, 1980.