A moment sequence in the q-world

• Autorzy: Anna Kula
• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is to present some initial results about a possible generalization of moment sequences to a so-called q-calculus. A characterization of such a q-analogue in terms of appropriate positivity conditions is also investigated. Using the result due to Maserick and Szafraniec, we adapt a classical description of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity to the q-situation. This makes a link between q-positive definiteness and q-complete monotonicity.

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: Banach Center Publications
• Rocznik: 2007
• Tom: 78
• Numer: 1
• Strony: 201-210

Daty

wydano

2007

Twórcy

autor

Anna Kula

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

Identyfikatory

DOI

10.4064/bc78-0-15