Concept

Support (mathematics)

Related lectures (32)

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Spectral Theory: Regularity and Embedding

Explores spectral theory, emphasizing regularity properties and embedding theorems in the context of Sobolev spaces and compactly supported functions.

Eisenstein Series and Spectral Decomposition

Covers Eisenstein series properties and spectral decomposition of functions.

Distribution & Interpolation Spaces

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Harmonic Analysis: Schwerte Functions

Explores Schwerte functions in harmonic analysis, emphasizing compact support and function convergence.

Function Approximations

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

Distributions and Laplace Transform: Key Concepts

Discusses distributions, the Laplace transform, and their applications in mathematical analysis.

Quadratic Forms and Hecke Operators

Explores quadratic forms, Hecke operators, eigenvalues, and compactly supported functions in matrix theory.

Differential Forms Integration

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

Distribution & Interpolation Spaces

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

Preliminaries in Measure Theory

Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.

The Issue with Riemann Integral

Explores the incompleteness of Cc(RN, K) and the challenges of Riemann integrability.

Approximation by Smooth Functions

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

Representation Theory: Actions and Invariants

Covers the representation theory of groups, focusing on actions and invariants.

Finite Element Method: Quadrangular Elements

Explores basic functions and criteria in quadrangular finite elements using the finite element method.

Distributions & Interpolation Spaces

Explores convolution operators, interpolation spaces, and function convergence in different spaces.

Convexity of Sum of Inverse Eigenvalues

Covers the convexity proof of the sum of the eigenvalues of the inverse matrix.

Semicontinuous Functions

Covers the concept of semicontinuous functions and their integration.

Convex Optimization Problems

Covers Convex Optimization Problems, LP formulations, and practical implementations using CVXPY and GUROBI.

Distributions & Interpolation Spaces

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