Lectures related to Untitled | EPFL Graph Search

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.