A quantified Tauberian theorem for sequences

• Autorzy: David Seifert
• Języki publikacji: EN

Abstrakty

EN

The main result of this paper is a quantified version of Ingham's Tauberian theorem for bounded vector-valued sequences rather than functions. It gives an estimate on the rate of decay of such a sequence in terms of the behaviour of a certain boundary function, with the quality of the estimate depending on the degree of smoothness this boundary function is assumed to possess. The result is then used to give a new proof of the quantified Katznelson-Tzafriri theorem recently obtained by the author (2014).

Kategorie tematyczne

• 37A25: Ergodicity, mixing, rates of mixing
• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 40E05: Tauberian theorems, general

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 227
• Numer: 2
• Strony: 183-192

Daty

wydano

2015

Twórcy

autor

David Seifert

• St John's College, St Giles, Oxford OX1 3JP, United Kingdom

Identyfikatory

DOI

10.4064/sm227-2-7