Harmonic Analysis in Euclidean Spaces

Period of duration of course
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Course info
Number of course hours
40
Number of hours of lecturers of reference
40
Number of hours of supplementary teaching
0
CFU 6
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Type of exam

Seminars

Lecturer

Gian Maria Dall'Ara

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.