Fundamental Solutions of Laplace Equation

Related lectures (31)

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Covers the concepts of compression and prediction using prefix-free codes and distributions.

Covers distributions, interpolation spaces, convergence, and the concept of dual spaces.

Explores the construction of solutions by Dirichlet-Laplace in general domains.

Covers the concept of compression and constructing prefix-free codes based on given information.

Explores proof ideas related to the cut-off phenomenon and its implications in random walks on hypercubes.

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

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

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

Covers the concept of distributions with compact support and their interpolation spaces.

Covers probability distributions, moments, and continuous random variables.