On a criterion for the determinate-indeterminate dichotomy of the moment problem

Autor:	Bustos, Diego Hernández, Palafox, Sergio, Silva, Luis O.
Rok vydání:	2021
Předmět:	Mathematical Physics Mathematics - Spectral Theory 47B32 47B36 30E05
Druh dokumentu:	Working Paper
Popis:	When the classical Hamburger moment problem has solutions, it has either exactly one solution or infinitely many solutions. Correspondingly, the moment problem is said to be either determinate or indeterminate. In terms of Jacobi operators, this dichotomy translates into the operator being either selfadjoint or symmetric nonselfadjoint. In this work, we present a new criterion for the determinate-indeterminate classification which hinges on bases of representation (in Akhiezer-Glazman terminology) for Jacobi operators so that the corresponding matrices have a certain structure. Comment: 23 pages. A new section was added and some minor changes were made along the text. Corrections in references and citations
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.00697 Zobrazit plný text záznamu View this record from Arxiv