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Some Applications of Choquet Theory to Harmonic Analysis
Author(s) -
Edwards D. A.
Publication year - 1999
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610799007085
Subject(s) - mathematics , separable space , choquet integral , pure mathematics , choquet theory , convergence (economics) , discrete mathematics , algebra over a field , mathematical analysis , subderivative , computer science , economics , regular polygon , geometry , convex optimization , artificial intelligence , economic growth , fuzzy logic
Part of the Choquet theory of integral representations on a universal cap is presented here in a slightly improved form. This makes possible a rapid proof of a generalised Bochner theorem for non‐separable locally compact groups and of two extensions to such groups of the classical Lévy–Cramér continuity theorem concerning the convergence of sequences of probabilities.