معلومات المقرر

Lehrinhalte
Part I: sigma-algebras, measures, outer measures and Carathéodory’s theorem, Lebesgue measure; measurable functions, Lebesgue integral, convergence theorems, Lp-spaces, Fubini’s theorem in R^n change of variables formula.

Part II: Convolution integrals, Fouriertransform; Submanifolds, surface measures, divergence theorem, Green’s theorem, Stokes’ theorem.

Literature
Part I: sigma-algebras, measures, outer measures and Carathéodory’s theorem, Lebesgue measure; measurable functions, Lebesgue integral, convergence theorems, Lp-spaces, Fubini’s theorem in R^n change of variables formula.

Part II: Convolution integrals, Fouriertransform; Submanifolds, surface measures, divergence theorem, Green’s theorem, Stokes’ theorem.

Voraussetzungen
recommended: Analysis and Linear Algebra