Harmonic Analysis in Euclidean Spaces
Prerequisites
Measure theory. Basics of functional analysis and of complex analysis in one variable.
Programme
I. Generalities about linear operators on L^p spaces
II. Fourier transform: classical and distributional theory
III. Modern aspects of Euclidean Fourier analysis
Educational aims
Understanding the use of symmetries to prove quantitative bounds in linear analysis. Getting closer the problems of current interest in Euclidean harmonic analysis.
Bibliographical references
Notes will be made available to participants.