139 citations · 141 across the 8 of their papers we have counts for
8 papers
The pure truncated moment problem
Lawrence Fialkow, Aljaž Zalar
Let be a real bivariate sequence of degree . We study the existence of representing measures for supported in the curve () in the case w…
The core variety and representing measures in the truncated moment problem
Grigoriy Blekherman, Lawrence Fialkow
The classical Truncated Moment problem asks for necessary and sufficient conditions so that a linear functional on , the vector space of real -variable poly…
Recursively determined representing measures for bivariate truncated moment sequences
Raul E. Curto, Lawrence A. Fialkow
A theorem of Bayer and Teichmann implies that if a finite real multisequence β= β^(2d) has a representing measure, then the associated moment matrix M_d admits positive, recursivel…
Positivity of Riesz Functionals and Solutions of Quadratic and Quartic Moment Problems
Lawrence Fialkow, Jiawang Nie
We employ positivity of Riesz functionals to establish representing measures (or approximate representing measures) for truncated multivariate moment sequences. For a truncated mom…
The extremal truncated moment problem
Raul E. Curto, Lawrence A. Fialkow, H. Michael Moeller
For a degree 2n real d-dimensional multisequence β^(2n) to have a representing measure, it is necessary for the associated moment matrix M(n) to be positive semidefinite and for th…
Solution of the truncated hyperbolic moment problem
Raul E. Curto, Lawrence A. Fialkow
Let Q(x,y)=0 be an hyperbola in the plane. Given real numbers , with , the truncated Q-hyperbolic moment problem for βenta…