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