Applied Analysis Topics
Applied and Computational Mathematics at Florida State University
Topics
- Lebesgue spaces
- Banach spaces
- Hahn-Banach Theorem
- dual spaces
- Open Mapping Theorem
- Closed Graph Theorem
- Uniform Boundedness Principle
- weak topology
- Hilbert spaces
- spectral theory in Hilbert spaces
- compact operators
- Arzela-Ascoli Theorem
- self-adjoint operators
- Banach-Alaoglu Theorem
- Theory of distributions
- Fourier transforms
- Sobolev spaces
- Sobolev embeddings
- Lax-Milgram Theorem
- Galerkin approximations
