Dirichlet polynomials and a moment problem

DOI10.1007/s43037-022-00208-3OpenAlexW3184735661MaRDI QIDQ2676710

Sameer Chavan, Chaman Kumar Sahu

Publication date: 28 September 2022

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.10603

zbMATH Keywords

moment functionalcompletely monotone functionBernstein functionDirichlet polynomial

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Moment problems (44A60) Monotonic functions, generalizations (26A48) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A moment problem and joint \(q\)-isometry tuples
• Riesz-haviland criterion for incomplete data
• New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures
• An analogue of the Riesz-Haviland theorem for the truncated moment problem
• Moment problems for multi-sequences of operators
• Moment problem in infinitely many variables
• Moment problems in an infinite number of variables
• Hilbert spaces of Dirichlet series and their multipliers
• On Helson matrices: moment problems, non-negativity, boundedness, and finite rank
• The Moment Problem
• A Riesz-Haviland type result for truncated moment problems with solutions in $L^1$
• A Generalization of Carlson's Theorem
• Bernstein functions. Theory and applications
• Diophantine Approximation and Dirichlet Series
• Approximation by Dirichlet series with nonnegative coefficients