The hamburger power moment problem as part of spectral theory of canonical systems

1999 ◽  
Vol 33 (3) ◽  
pp. 228-230 ◽  
Author(s):  
I. S. Kac
Keyword(s):  
Spectral Theory ◽  
Moment Problem ◽  
Power Moment ◽  
Canonical Systems ◽  
Power Moment Problem

TIME OPTIMALITY AND THE POWER MOMENT PROBLEM

1989 ◽  
Vol 62 (1) ◽  
pp. 185-206 ◽  
Author(s):  
V I Korobov ◽  
G M Sklyar
Keyword(s):  
Moment Problem ◽  
Power Moment ◽  
Time Optimality ◽  
Power Moment Problem

scholarly journals Large Deviations for random power moment problem

2004 ◽  
Vol 32 (3B) ◽  
pp. 2819-2837 ◽  
Author(s):  
Fabrice Gamboa ◽  
Li-Vang Lozada-Chang
Keyword(s):  
Large Deviations ◽  
Moment Problem ◽  
Power Moment ◽  
Power Moment Problem

scholarly journals A Potapov-Type Approach to a Truncated Matricial Stieltjes-Type Power Moment Problem

2020 ◽  
pp. 193-297
Author(s):  
Bernd Fritzsche ◽  
Bernd Kirstein ◽  
Conrad Mädler ◽  
Tatsiana Makarevich
Keyword(s):  
Moment Problem ◽  
Power Moment ◽  
Type Power ◽  
Power Moment Problem ◽  
Stieltjes Type

On the generalized power moment problem

1982 ◽  
Vol 87 (5) ◽  
pp. 201-203 ◽  
Author(s):  
George P. Flessas ◽  
K. Burton ◽  
R.R. Whitehead
Keyword(s):  
Moment Problem ◽  
Power Moment ◽  
Power Moment Problem

scholarly journals The moment problem on curves with bumps

2020 ◽  
Author(s):  
David P. Kimsey ◽  
Mihai Putinar
Keyword(s):  
Moment Problem ◽  
Higher Dimensions ◽  
Two Dimensions ◽  
Infinite Matrix ◽  
Power Moment ◽  
Closed Set ◽  
Algebraic Sets ◽  
Power Moments ◽  
The Moment ◽  
Power Moment Problem

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.

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