Functionals of Finite Riemann Surfaces

Integro-differential equation, Beltrami equation, Differentiable function, Boundary value problem, Existential quantification, Polynomial, Complex manifold, Theorem, Geometry, Tensor calculus, Harmonic conjugate, Scalar multiplication, Limit (mathematics), Integral transform, Partial derivative, Complex plane, Harmonic function, Dirichlet integral, Einstein notation, Weyl's lemma (Laplace equation), Green's function, Simultaneous equations, Boundary (topology), Continuous function (set theory), Differential geometry, Variable (mathematics), Partial differential equation, Quadratic differential, Exterior (topology), Equation, Kähler manifold, Pole (complex analysis), Integral equation, Riemannian manifold, Ricci curvature, Existence theorem, Invertible matrix, Cauchy–Riemann equations, Riemann sphere, Hilbert space, Uniformization theorem, Conformal map, Projection (linear algebra), Coefficient, Orientability, Riemann surface, Differential form, Square-integrable function, Homology (mathematics), Abelian integral, Complex number, Meromorphic function, Dimension (vector space), Riemann curvature tensor, Algebraic surface, Cauchy's theorem (group theory), Linear space (geometry), Differential equation, Holomorphic function, Cauchy's theorem (geometry), Harmonic measure, Differential of the first kind, Jordan curve theorem, Dot product, Functional calculus, Divisor, Analytic function, Manifold, Sign (mathematics), Variational method (quantum mechanics)