Explore: Tauberian Theorems

In mathematics, Abelian and Tauberian theorems are theorems giving conditions for two methods of summing divergent series to give the same result, named

In mathematical analysis, the Hardy–Littlewood Tauberian theorem is a Tauberian theorem relating the asymptotics of the partial sums of a series with the

In mathematical analysis, Wiener's Tauberian theorem is any of several related results proved by Norbert Wiener in 1932. They provide a necessary and

_{s\to 0^{+}}{\mathcal {L}}\mu (s)=\lim _{t\to \infty }M(t).} Tauberian theorems are theorems relating the asymptotics of the Laplace transform, as s → 0

In mathematics, Littlewood's Tauberian theorem is a strengthening of Tauber's theorem introduced by John Edensor Littlewood (1911). Littlewood showed the

function. Lambert series Abel–Plana formula Abelian and tauberian theorems Jacob Korevaar (2004). Tauberian theory. A century of developments. Grundlehren der

economics (e.g. on the stock-market). Wiener's tauberian theorem, a 1932 result of Wiener, developed Tauberian theorems in summability theory, on the face of it

In mathematical analysis, Haar's Tauberian theorem named after Alfréd Haar, relates the asymptotic behaviour of a continuous function to properties of

later proofs introduced various simplifications through the use of Tauberian theorems but remained difficult to digest. A short proof was discovered in

This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures