Found 3 relevant results in 1.76s where lecturer="László Székelyhidi"
Introduction to partial differential equations. Differential equations which are important in applications are classified and solved. Elliptic, parabolic and hyperbolic differential equations are treated. The following mathematical tools are introduced: Laplace transforms, Fourier series, separation of variables, calculus of variation, methods of characteristics.
Introduction to Fourier Analysis
Einführung in die Fourier Analysis
Fourier series: convolutions, Cesaro and Abel summability, Tauberian theorems; Poisson kernel and the Dirichlet problem; Weyl equidistribution; convergence and divergence of Fourier series; Riemann localization principle.Fourier analysis of finite abelian groups: Pontryagin duality, Dirichlet Prime Number theorem
The course serves as an introduction to the theory of pseudodifferential operators. The calculus of pseudodifferential operators is developed rigorously using oscillatory integrals. Further topics will include the index of elliptic operators and the local solvability of linear partial differential equations.