Radial exponentially convex functions

DOI10.1007/BF02790041zbMath0247.42018OpenAlexW2136260745MaRDI QIDQ2555993

A. Edward Nussbaum

Publication date: 1972

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790041

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Moment problems (44A60)

Related Items (5)

Integral representations, extension theorems and walks through dimensions under radial exponential convexity ⋮ On Functions Positive Definite Relative to the Orthogonal Group and the Representation of Functions as Hankel-Stieltjes Transforms ⋮ Integral Representation of Functions and Distributions Positive Definite Relative to the Orthogonal Group ⋮ Positive definite symmetric functions on linear spaces ⋮ Multi-parameter local semi-groups of Hermetian operators

Cites Work

• The representation of functions as Laplace-Stieltjes integrals
• An extension theorem for positive-definite functions
• Necessary and sufficient conditions for the representation of a function by a doubly infinite Laplace integral
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