L. Fialkow

most citedTruncated K-moment problems in several variables

139 citations · 139 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.FA2009

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…

math.FA2005

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 $β \equiv β^{2 n)} = {β_{ij}}_{i, j \geq 0, i + j \leq 2 n}$ , with $β_{00} > 0$ , the truncated Q-hyperbolic moment problem for βenta…

math.FA2005★ 139 cited

Truncated K-moment problems in several variables

Raul E. Curto, Lawrence A. Fialkow

Let $β \equiv β^{(2 n)}$ be an N-dimensional real multi-sequence of degree 2n, with associated moment matrix $M (n) \equiv M (n) (β)$ , and let $r := r ank M (n)$ …

math.FA2002

A duality proof of Tchakaloff's theorem

Raul E. Curto, Lawrence A. Fialkow

Tchakaloff's Theorem establishes the existence of a quadrature rule of prescribed degree relative to a positive, compactly supported measure that is absolutely continuous with resp…