A q-analogue of complete monotonicity

• Autorzy: Anna Kula
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to give a q-analogue for complete monotonicity. We apply a classical characterization of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity, adapted to the q-situation. The method due to Maserick and Szafraniec that does not need moments turns out to be useful. A definition of a q-moment sequence appears as a by-product.

Kategorie tematyczne

• 05A30: q -calculus and related topics
• 47B32: Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces)
• 43A35: Positive definite functions on groups, semigroups, etc.
• 44A60: Moment problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 111
• Numer: 2
• Strony: 169-181

Daty

wydano

2008

Twórcy

autor

Anna Kula

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/cm111-2-1