Lectures related to Distribution & Interpolation Spaces

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

Covers the properties of harmonic functions and the concept of mollification.

Explores the Cauchy-Schwarz inequality in integrals and functions, offering a comprehensive understanding of its applications.

Provides solutions to an Analysis I exam, covering various topics.

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.

Covers the proof of the existence of y and the resolution of EDOs with practical examples.

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.