HARMONIC ANALYSIS
Description

Trigonometric polynomials, Fourier series, Riemann-Lebesgue lemma, Féjer’s kernel, Féjer’s theorem, uniqueness of
Fourier series, Dirichlet kernel, study of partial sums of Fourier series with respect to pointwise convergence as well with
respect to the L^1-norm, Parseval’s identity, convergence of partial sums of Fourier series with respect to the L^2-norm,
isoperimetric inequality, the equidistribution theorem of Weyl, example of continuous nowhere differentiable function.

Division: Pure Mathematics
Instructors:

Program of Studies:
Undergraduate Studies
Semester: H
ECTS: 6
Hours per week (Lec/Tut/L): 2/2/0
Code: PM466
Course type: Elective
Erasmus students: Yes




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