Bochner and Bernstein theorems via the nuclear integral representation theorem

DOI10.1016/j.jmaa.2004.03.046zbMath1066.46004OpenAlexW2012657138MaRDI QIDQ1883362

Erik G. F. Thomas

Publication date: 12 October 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.046

zbMATH Keywords

special functionscompletely monotonic functionsextreme elementsdistributions of positive typeconuclear cones

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Laplace transform (44A10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (3)

Characterizations of Smooth Ambiguity Based on Continuous and Discrete Data ⋮ Complete monotonicity for inverse powers of some combinatorially defined polynomials ⋮ On the extremal rays of the cone of positive, positive definite functions

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