Theta functions: Properties and Transformations

Related lectures (29)

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

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

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

Covers the properties and applications of modular forms and discusses equidistribution and modularity.

Covers functions, including even and odd functions, periodicity, and function operations.

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

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

Explores real functions, covering parity, periodicity, and polynomial functions.

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

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