Distributions and Derivatives

Related lectures (31)

Page 3 of 4

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Explores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.

Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Covers distributions, linear systems, impulse response, convolution, and examples of linear systems.

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

Explores optimal transport in heat equations and metric spaces.

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Explores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.