Representation of measures with simultaneous polynomial denseness in \(L_p({\mathbf R},d\mu)\), \(1\leq p<\infty\).

DOI10.1007/BF02384778zbMath1116.28004MaRDI QIDQ2368537

Stephan Ruscheweyh, Andrew Bakan

Publication date: 21 April 2006

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Borel measuresunbounded supportCarleman measure

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) Spaces of measures, convergence of measures (28A33)

Related Items (6)

Stability of determinacy and inverse spectral problems for Jacobi operators ⋮ Smoothing of weights in the Bernstein approximation problem ⋮ Oscillation-diminishing polynomial approximation in C\(^0_w\) and \(L_p(\mathbb R,d \mu), 1 \leq p < \infty\) ⋮ Representation of measures with polynomial denseness in $\mathbf {L}_{p} (\mathbb {R}, d\mu )$, $0<p<\infty $, and its application to determinate moment problems ⋮ Majorization of regular measures and weights with finite and positive critical exponent ⋮ A theorem of Malliavin applied to the uniqueness of probabilistic moments

Cites Work

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• Rotation invariant moment problems
• The Hamburger moment problem and weighted polynomial approximation on discrete subsets of the real line
• Which perturbations of quasianalytic weights preserve quasianalyticity? How to use de Branges' theorem
• The Bernstein Problem
• On a Criterion for Determinate Moment Sequences
• SOME REMARKS ON THE MOMENT PROBLEM (I)
• A generalization of Carleman’s uniqueness theorem and a discrete Phragmén-Lindelöf theorem
• Hermitian Transformations of Deficiency-Index (1,1), Jacobi Matrices and Undetermined Moment Problems
• On a generalization of the Stieltjes moment problem
• Krein's entire functions and the Bernstein approximation problem

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