Injectivity and surjectivity of the Stieltjes moment mapping in\n Gelfand-Shilov spaces

2019/02/04 by Andreas Debrouwere, Debrouwere, Andreas, Javier Jiménez-Garrido +3 · 1 citation
Mathematics · #30E05 #44A60 #46F05 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1902.01305

openalex publication_date 2019/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Stieltjes moment problem is studied in the framework of general\nGelfand-Shilov spaces defined via weight sequences. We characterize the\ninjectivity and surjectivity of the Stieltjes moment mapping, sending a\nfunction to its sequence of moments, in terms of growth conditions for the\ndefining weight sequence. Finally, a related moment problem at the origin is\nstudied.\n

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• The Stieltjes moment problem in Gelfand-Shilov spaces defined by weight sequences in the absence of derivation closedness

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