NDLI: FA ] 1 1 O ct 2 01 9 THE MOMENT PROBLEM ON CURVES WITH BUMPS

Content Provider	Semantic Scholar
Author	Kimsey, David P. Putinar, Mihai
Copyright Year	2019
Abstract	The power moments of a positive measure on the real line or the circle are characterized by the non-negativity of an infinite matrix, Hankel, respectively Toeplitz, attached to the data. Except some fortunate configurations, in higher dimensions there are no non-negativity criteria for the power moments of a measure to be supported by a prescribed closed set. We combine two well studied fortunate situations, specifically a class of curves in two dimensions classified by Scheiderer and Plaumann, and compact, basic semi-algebraic sets, with the aim at enlarging the realm of geometric shapes on which the power moment problem is accessible and solvable by non-negativity certificates.
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://export.arxiv.org/pdf/1910.05251
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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