Harmonic Functions: Properties and Mollification

Related lectures (27)

Page 1 of 3

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores differentiating under the integral sign and continuity of functions in integrals.

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

Explores differentiating under the integral sign and conditions for differentiation, with examples and extensions to functions on open intervals.

Covers the extension and periodicity of Fourier series and the interpretation of coefficients.

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

Explores the Darboux theorem for continuous functions on closed intervals, emphasizing uniform continuity and function behavior implications.

Covers the Meyers-Serrin theorem in analysis, discussing the conditions for functions in different spaces.

Covers the isomorphism of coverings and the lifting theory.

Explores sub/super harmonic functions and their applications in a theoretical context.