Characterization of measures by potentials

DOI10.1007/BF02213364zbMath0807.28007MaRDI QIDQ1314312

Alexander L. Koldobsky

Publication date: 22 February 1994

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

Fourier transformpositive definite functionsanalytic normmeasure in a Banach space

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (3)

The Fourier transform of order statistics with applications to Lorentz spaces ⋮ Intersection bodies in \(\mathbb{R}^4\) ⋮ An application of the Fourier transform to sections of star bodies

Cites Work

• Positive definite norm dependent functions on \(\ell ^{\infty}\)
• Uniqueness theorems for measures in \(L_ r\) and \(C_ o(\Omega)\)
• Continuation of L\(^p\)-isometries
• The Fourier transform technique for convolution equations in the infinite dimensional \(\ell_ q\)-spaces
• Convolution Equations in Certain Banach Spaces
• Metric Spaces and Positive Definite Functions
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