# Teaching

## M301-Analysis III

Semester:
Syllabus:
Outer measure, measurable sets, Lebesgue measure, measurable functions, Lebesgue integral, Basic properties of Lebesgue integral, convergence in measure, differentiation and Lebesgue measure. $L_p$ Spaces, Holder and Minkowski inequalities, Riesz-Fisher theorem, Radon-Nykodin theorem, Riesz representation theorem. Fourier series, $L_2$ -convergence properties of Fourier series, Fourier transform and its properties.