MTL882
| MTL882 | |
|---|---|
| Applied Analysis | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | |
| Overlaps | |
MTL882 : Applied Analysis
[edit]Review of Normed Linear spaces, Banach spaces and Hilbert spaces. Weak and weak* convergence, Spectrum of Bounded Linear operators. Browder and Schauder fixed point theorems and applications to Differential and integral equations, L P spaces. Distributions and Fourier transforms: Schwartz space, tempered distributions, Fourier transform of tempered distributions, Fourier transform of L P functions and applications. Sobolev spaces: Density, embedding and extension theorems. Differential Calculus: Derivatives of maps on Banach spaces, inverse and implicit function theorems, Direct methods of Calculus of variations and applications.