Distribution & Interpolation Spaces

Related lectures (30)

Page 3 of 3

Covers open balls in Euclidean spaces, their properties, and their significance in topology.

Explores adhesion, convergence, closed sets, compact subsets, and examples of subsets in R^n.

Explores compactness, continuity, and quotient spaces in topology, emphasizing the topology of lines in R² and the properties of compact sets.

Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.

Covers the development of Taylor polynomials of order p around a point x.

Covers the exponential family of distributions and the Ising model, explaining magnetism through dipoles and spins.

Discusses the properties of sequences, convergence, and their relationship with topology and compactness.

Covers free fields and probabilistic functions, focusing on random variables and their properties.

Covers the fundamentals of the Fourier transformation, including decreasing causal exponential signals and the Schwartz class.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.