Solution to the Stieltjes moment problem in Gelfand–Shilov spaces
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Publication:3298547
DOI10.4064/sm190627-8-10zbMath1446.30053arXiv1905.07148OpenAlexW3018228241MaRDI QIDQ3298547
Publication date: 14 July 2020
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.07148
Stieltjes moment problemGelfand-Shilov spacesBorel-Ritt problemcontinuous linear right inversesspaces of ultraholomorphic functions on the upper half-plane
Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60) Topological linear spaces of continuous, differentiable or analytic functions (46E10)
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Cites Work
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- On E. Borel's theorem
- Every Stieltjes moment problem has a solution in Gel'fand-Shilov spaces
- Division by flat ultradifferentiable functions and sectorial extensions
- On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth
- Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes
- Shrinking and boundedly complete Schauder frames in Fréchet spaces
- Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand-Shilov spaces
- Linear continuous operators for the Stieltjes moment problem in Gelfand-Shilov spaces
- Stieltjes moment problem in general Gelfand–Shilov spaces
- The Stieltjes Moments Problem for Rapidly Decreasing Functions
- Strong Moment Problems for Rapidly Decreasing Smooth Functions
- Extension maps in ultradifferentiable and ultraholomorphic function spaces
