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Marouane Rabaoui (2008)
Annales de l’institut Fourier
In this article, we prove a generalisation of Bochner-Godement theorem. Our result deals with Olshanski spherical pairs defined as inductive limits of increasing sequences of Gelfand pairs . By using the integral representation theory of G. Choquet on convex cones, we establish a Bochner type representation of any element of the set of -biinvariant continuous functions of positive type on .
Anna Kula (2007)
Banach Center Publications
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...
Marek Bożejko (1981)
Studia Mathematica
Anna Kula (2008)
Colloquium Mathematicae
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.
Thomas A. O'Connor (1977)
Aequationes mathematicae
Thomas A. O'Connor (1977)
Aequationes mathematicae
Costache, T.L. (2008)
Surveys in Mathematics and its Applications
U. Haagerup, M. Cowling, R. Howe (1988)
Journal für die reine und angewandte Mathematik
Uffe Haagerup (1978/1979)
Inventiones mathematicae
Torben Maack Bisgaard (2004)
Czechoslovak Mathematical Journal
The first explicit example of a positive semidefinite double sequence which is not a moment sequence was given by Friedrich. We present an example with a simpler definition and more moderate growth as .
Alan L.T. Paterson (1978)
Mathematische Annalen
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