After successful completion of the course, students are able to solve problems in the areas of Fourier analysis area formulas integral theorems weak derivatives and Sobolev spaces amd fixed point theorems.
Integrationin Rn, Banach spaces, convolution, Surface measure (co)areaformula, transformation rule, Fourier transform, integral formulas, partition of unity,
Weak derivative, mollifier,, embedding theorems
Lecture
Exam
Not necessary
Analysis 1,2,mesure theory, linear algebra.