Naimark extensions for indeterminacy in the moment problem. An example

DOI10.1512/iumj.2010.59.4380zbMath1239.44002OpenAlexW1979598585MaRDI QIDQ2879951

Jan Stochel, Franciszek Hugon Szafraniec, Dariusz Cichoń

Publication date: 10 April 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2010/4380

zbMATH Keywords

Fourier transformPaley-Wiener spaceN-extremal measureselfadjoint extensionindeterminate moment sequenceorder of a representing measurehamburger moment sequenceWhittaker-Shannon-Kotelnikov sampling

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60)

Related Items (6)

A non-hyponormal operator generating Stieltjes moment sequences ⋮ Idempotents and moment problem for discrete measure ⋮ Point mass perturbations of spectral measures ⋮ Riesz-haviland criterion for incomplete data ⋮ The Sobolev moment problem and Jordan dilations ⋮ The complex moment problem: determinacy and extendibility

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