Disintegration with respect to L p-density functions and singular measures

DOI10.1007/BF00534826zbMath0449.28008MaRDI QIDQ3895733

P. H. Maserick

Publication date: 1981

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

integral representationpositive multiplicative linear functionalscommutative ordered algebratrigonometric and n-dimensional moment problems

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Ordered topological linear spaces, vector lattices (46A40) Integration and disintegration of measures (28A50)

Related Items (1)

On the solution of moment problems by reproducing kernel methods

Cites Work

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• Applications of differentiation of \(L_ p-\)functions on semilattices
• Moments of measures on convex bodies
• Positive definite functions on Abelian semigroups
• BV-functions on semilattices
• Functions of bounded variation on idempotent semigroups
• Positive-definite functions on involution semigroups
• The theory of \(L^p\)-spaces for finitely additive set functions
• Theory of capacities
• A Decomposition of Finitely Additive Set Functions.
• Fourier Transforms of Unbounded Measures
• BV-Functions, Positive-Definite Functions and Moment Problems
• Moment and BV-Functions on Commutative Semigroups
• On the Simplex of Completely Monotonic Functions on a Commutative Semigroup
• Measure Algebras and Functions of Bounded Variation on Idempotent Semigroups

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