noun
Meaning 1
Any of a class of theorems which, for a given Abelian theorem, specifies conditions such that any series whose Abel sums converge (as stipulated by the Abelian theorem) is in fact convergent.
Definition source: English Wiktionary via Wiktextract
Topics: mathematical-analysis, mathematics, sciences
Examples
- 1988, Staff writer, Foreword, [1933, Norbert Wiener, The Fourier Integral and Certain of Its Applications], Cambridge University Press, 1988 reissue, page xi, Not only did the general Tauberian theorem give a unifying view on questions involving summations and limits, but it introduced a paradigm for what was called abstract harmonic analysis a few years later. [...] Generalized harmonic analysis is the subject-matter of the last chapter, though it was conceived before the Tauberian theorems.
Meaning relationships
Synonyms: none provided
Antonyms: none provided