Effective Version of the Explicit Formula

Related lectures (31)

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

Covers the approximation of functions in Sobolev spaces using smooth functions.

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

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Explains the integration of Taylor series for CnR class functions.

Covers the derivative of an integral with parameter-dependent bounds and the gradient.

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.