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Hausdorff moment problem and fractional moments

Applied Mathematics and Computation, 2010
In probabilistic terms, the Hausdorff moment problem means to recover an unknown probability density function \(f\in L^2[0,1]\) from the knowledge of its associated sequence \(\{\mu_j\}^M_{j=0}\) of integer moments, that is, \(\mu_j=\int_0^1x^jf(x),j\geq0,\mu_0=1\). The authors propose a solution to the Hausdorff moment problem using fractional moments,
H. Gzyl, Tagliani, Aldo
openaire   +4 more sources

Stieltjes moment problem and fractional moments

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Gzyl, Tagliani, Aldo
openaire   +5 more sources

Noncommutative moments problem

Functional Analysis and Its Applications, 1987
Let \(U\) be a unitary representation of a real finite-dimensional Lie group \(G\) on a separable complex Hilbert space \(H\) and let \(dU\) be the corresponding representation of the complex enveloping *-algebra \(L\) of \(G\), defined on a domain \(D\subseteq H\).
Daletskiĭ, A. Yu., Samoĭlenko, Yu. S.
openaire   +2 more sources

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