Heat Kernel and Gaussian Analysis

Related lectures (30)

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Explores limits, convergence, and boundedness of functions and sequences.

Explores optimal transport in heat equations and metric spaces.

Covers continuous functions with compact support, density, and approximation, focusing on the heat equation.

Explores limits, divergence, and algebraic operations on sequences approaching infinity.

Explores the convergence and divergence of integrals, analyzing their behavior under specific limits.

Explains limits at right and left endpoints, convergence conditions, and function behavior near specific values.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Explores matrix operations, trends, and convergence conditions with a focus on clear definitions and examples.

Explores limits to infinity, including convergence, algebraic properties, and geometric progressions.

Explores Banach spaces, emphasizing reflexivity and sequence convergence in a rigorous mathematical framework.