stirling's approximation universal approximation theorem implicit function picard– lindelöf theorem stone– weierstrass theorem helmholtz decomposition symmetry of second derivatives dirichlet conditions riemann series theorem poisson summation formula pontryagin duality riemann– lebesgue lemma faà di bruno's formula narasimhan– seshadri theorem sard's theorem hartman– grobman theorem cauchy– kowalevski theorem initial value theorem rellich– kondrachov theorem cauchy formula for repeated integration fenchel's duality theorem peano existence theorem babuška– lax– milgram theorem carathéodory's existence theorem khintchine inequality lax equivalence theorem shift theorem whitney extension theorem kantorovich theorem helly's selection theorem danskin's theorem fuchs' theorem hadamard's lemma theorems in complex analysis besicovitch covering theorem lax– milgram theorem laplace principle (large deviations theory) godunov's theorem sturm– picone comparison theorem sturm separation theorem prékopa– leindler inequality differentiation of integrals fenchel– moreau theorem theorems in real analysis equioscillation theorem
Mathematics_Mathematical theorems