The Sobolev moment problem and Jordan dilations

2016/03/01 by Franciszek Hugon Szafraniec, F. H. Szafraniec, Szafraniec, F. H. +3
Computer Science · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.FA

paper · pdf · doi:10.48550/arxiv.1603.00269

openalex publication_date 2016/03/01 · arxiv created 2016/07/27 · arxiv updated 2016/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Moment problems and orthogonal polynomials, both meant in a single real variable, belong to the oldest problems in Classical Analysis. They have been developing for over a century in two parallel, mostly independent streams. During the last 20 years a rapid advancement of polynomials orthogonal in Sobolev space has been noticed; their moment counterpart seems to be not paid enough attention as it deserves. In this paper we intend to resume the theme and open the door for further, deeper study of the problem.

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