Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand–Shilov spaces

Andreas Debrouwere

doi:10.1007/s13398-019-00693-6

Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand–Shilov spaces

Andreas Debrouwere

Wiskunde-TW

Onderzoeksoutput: Article › peer review

3 Citaten (Scopus)

Samenvatting

The Stieltjes moment problem is studied in the framework of general Gelfand–Shilov spaces defined via weight sequences. We characterize the injectivity and surjectivity of the Stieltjes moment mapping, sending a function to its sequence of moments, in terms of growth conditions for the defining weight sequence. Finally, a related moment problem at the origin is studied.

Originele taal-2	Undefined/Unknown
Artikelnummer	113
Pagina's (van-tot)	3341–3358
Aantal pagina's	18
Tijdschrift	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
DOI's	https://doi.org/10.1007/s13398-019-00693-6
Status	Published - okt. 2019

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