2013/11/03 by V. M. Adamyan, Vadym Adamyan, Adamyan, Vadym +3
Mathematics · Physics and Astronomy · #30E05 #82C70 #82D10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #G.1.1 #G.1.2 #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #acm:30E05 #acm:82C70 #acm:82D10 #math.CA #msc:30E05 #msc:82C70 #msc:82D10
paper · pdf · doi:10.48550/arxiv.1311.0501
18 pages, no figures
arxiv created 2013/11/03 · openalex publication_date 2013/11/03 · arxiv updated 2013/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The present paper is devoted to the \it local moment problem, which consists in finding of non-decreasing functions on the real axis having given first 2n+1, n≥ 0, power moments on the whole axis and also 2m+1 first power moments on a certain finite axis interval. Considering the local moment problem as a combination of the Hausdorff and Hamburger truncated moment problems we obtain the conditions of its solvability and describe the class of its solutions with minimal number of growth points if the problem is solvable.