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pro vyhledávání: '"Fialkow, Lawrence A."'
The classical Truncated Moment problem asks for necessary and sufficient conditions so that a linear functional $L$ on $\mathcal{P}_{d}$, the vector space of real $n$-variable polynomials of degree at most $d$, can be written as integration with resp
Externí odkaz:
http://arxiv.org/abs/1804.04276
Autor:
Curto, Raul E., Fialkow, Lawrence A.
A theorem of Bayer and Teichmann implies that if a finite real multisequence \beta = \beta^(2d) has a representing measure, then the associated moment matrix M_d admits positive, recursively generated moment matrix extensions M_(d+1), M_(d+2),... For
Externí odkaz:
http://arxiv.org/abs/1204.1687
Autor:
Fialkow, Lawrence, Nie, Jiawang
We employ positivity of Riesz functionals to establish representing measures (or approximate representing measures) for truncated multivariate moment sequences. For a truncated moment sequence $y$, we show that $y$ lies in the closure of truncated mo
Externí odkaz:
http://arxiv.org/abs/0908.3230
For a degree 2n real d-dimensional multisequence \beta^(2n) to have a representing measure, it is necessary for the associated moment matrix M(n) to be positive semidefinite and for the algebraic variety V = V(\beta) associated to \beta to satisfy ra
Externí odkaz:
http://arxiv.org/abs/math/0610882
Autor:
Curto, Raul E., Fialkow, Lawrence A.
Publikováno v:
Integral Equations Operator Theory 52(2005), 181-218
Let Q(x,y)=0 be an hyperbola in the plane. Given real numbers $\beta \equiv\beta^{2n)}=\{\beta_{ij}\}_{i,j\geq0,i+j\leq2n}$, with $\beta_{00}>0$, the truncated Q-hyperbolic moment problem for \beta entails finding necessary and sufficient conditions
Externí odkaz:
http://arxiv.org/abs/math/0507069
Autor:
Curto, Raul E., Fialkow, Lawrence A.
Publikováno v:
J. Operator Theory 54(2005), 189-226
Let $\beta\equiv\beta^{(2n)}$ be an N-dimensional real multi-sequence of degree 2n, with associated moment matrix $\mathcal{M}(n)\equiv \mathcal{M}(n)(\beta)$, and let $r:=rank \mathcal{M}(n)$. We prove that if $\mathcal{M}(n)$ is positive semidefini
Externí odkaz:
http://arxiv.org/abs/math/0507067
Autor:
Curto, Raul E., Fialkow, Lawrence A.
Publikováno v:
J. Math. Anal. Appl. 269(2002), 519-532
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 respect to Lebesgue measure on $\mathbb{R}^{d}$. Subsequent extensions wer
Externí odkaz:
http://arxiv.org/abs/math/0207065
Autor:
Fialkow, Lawrence A.
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2017 456(2):946-969
Autor:
Curto, Raúl E., Fialkow, Lawrence A.
Publikováno v:
Transactions of the American Mathematical Society, 2000 Jun 01. 352(6), 2825-2855.
Externí odkaz:
https://www.jstor.org/stable/118234
Autor:
FIALKOW, LAWRENCE A.
Publikováno v:
Transactions of the American Mathematical Society, 2015 Apr 01. 367(4), 2665-2702.
Externí odkaz:
http://www.jstor.org/stable/24513083