Stieltjes moment problem in general Gelfand-Shilov spaces

• Autorzy: Alberto Lastra , Javier Sanz
• Języki publikacji: EN

Abstrakty

EN

The Stieltjes moment problem is studied in the framework of general Gelfand-Shilov spaces, subspaces of the space of rapidly decreasing smooth complex functions, which are defined by imposing suitable bounds on their elements in terms of a given sequence M. Necessary and sufficient conditions on M are stated for the problem to have a solution, sometimes coming with linear continuous right inverses of the moment map, sending a function to the sequence of its moments. On the way, some results on the existence of continuous right inverses for the Borel map are obtained for ultraholomorphic classes in sectors.

Kategorie tematyczne

• 47A57: Operator methods in interpolation, moment and extension problems
• 30E05: Moment problems, interpolation problems
• 44A60: Moment problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 192
• Numer: 2
• Strony: 111-128

Daty

wydano

2009

Twórcy

autor

Alberto Lastra

• Departamento de Análisis Matemático y Didáctica de la Matemática, Facultad de Ciencias, Universidad de Valladolid, Paseo del Prado de la Magdalena s/n, 47005 Valladolid, Spain

autor

Javier Sanz

• Departamento de Análisis Matemático y Didáctica de la Matemática, Facultad de Ciencias, Universidad de Valladolid, Paseo del Prado de la Magdalena s/n, 47005 Valladolid, Spain

Identyfikatory

DOI

10.4064/sm192-2-2