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

of the field of Tauberian theorems received a fresh turn with Norbert Wiener's very general results, namely Wiener's Tauberian theorem and its large collection...

theorem Wiener–Khinchin theorem Wiener–Kolmogorov prediction Wiener–Lévy theorem Weiner–Rosenblueth model Wiener–Wintner theorem Wiener's tauberian theorem...

was somewhat shaken by a proof of the PNT based on Wiener's tauberian theorem, though Wiener's proof ultimately relies on properties of the Riemann zeta...

convergent Fourier series. Wiener–Ikehara theorem Wiener–Khinchin theorem Wiener's tauberian theorem Wiener–Wintner theorem See also Wiener's lemma This disambiguation...

The Wiener–Ikehara theorem is a Tauberian theorem, originally published by Shikao Ikehara, a student of Norbert Wiener's, in 1931. It is a special case...

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...

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

immersion theorem (differential topology) Whitney–Graustein Theorem (algebraic topology) Wick's theorem (physics) Wiener's tauberian theorem (real analysis)...

conditions. The theorem was named after Norbert Wiener and Paul Lévy. Norbert Wiener first proved Wiener's 1/f theorem, see Wiener's theorem. It states that...

summation and Borel summation, and their relationships. The advent of Wiener's tauberian theorem marked an epoch in the subject, introducing unexpected connections...

duality Kronecker's theorem on diophantine approximation Almost periodic function Bohr compactification Wiener's tauberian theorem Representation of a...

to infer. Two tauberian theorems of note are the Hardy–Littlewood tauberian theorem and the Wiener tauberian theorem. The Wiener theorem generalizes the...

MR 0365002 Wiener, Norbert (1932), "Tauberian Theorems", Annals of Mathematics, 33 (1): 1–100, doi:10.2307/1968102 Wiener, Norbert (1933), The Fourier integral...

. Abelian theorem: If a series is convergent to A {\displaystyle A} then it is Lambert summable to A {\displaystyle A} . Tauberian theorem: Suppose that...

and three dimensions. There is also an interesting link with Wiener's tauberian theorem: any function whose translates are dense in L 1 ( G ) {\displaystyle...

Mathematics. Vol. 96. Springer Verlag. ISBN 0-387-97245-5. Wiener, N. (1932). "Tauberian theorems". Ann. of Math. II. 33 (1). Annals of Mathematics: 1–100...

"Tauber's first theorem"). See (Korevaar 2004, p. 2) and (Sigmund 2004, p. 21): Korevaar precises that the locution "Tauberian theorems" was first used...

Critical line theorem Littlewood conjecture Littlewood polynomial Littlewood's three principles of real analysis Littlewood's Tauberian theorem Littlewood's...

wife, his children, and a granddaughter. “A generalization of Wiener's Tauberian theorem and harmonic analysis of rapidly increasing functions”, Proc....

He was a student of Norbert Wiener at MIT (PhD 1930). Following Wiener in 1928, in 1931 Ikehara used Wiener's Tauberian theory to derive another proof...

he directed thirteen master's theses on subjects related to Wiener's Tauberian theorem and its generalization the Gelfand representation to commutative...

somewhat ambiguous: for example, proofs based on complex Tauberian theorems (for example, Wiener–Ikehara) are often seen as quite enlightening but not elementary...

(1957) 10–31. Theory of Integration, Butterworths, London, 1962.[1] Tauberian theorems for integrals, Canadian Journal of Mathematics 15 (1963) 433–439....

support of it in the sense in sheaf theory. Tauberian Tauberian theory is a set of results (called tauberian theorems) concerning a divergent series; they are...

Advancement in Mathematics, 3, 485–491 (in Chinese) 1958 Classical Tauberian theorems, Journal of the Indian Society of Agricultural Statistics, 10, 141–149...

m-space. Trans. Amer. Math. Soc. 31 (1929), 379-404. 1933 Norbert Wiener for Tauberian theorems. Ann. Math. 33 (1932), 1-100. 1938 John von Neumann for Almost...