Randomly Weighted Series of Contractions in Hilbert Spaces.

DOI10.7146/math.scand.a-12606zbMath0881.40002OpenAlexW2531441501MaRDI QIDQ4357335

Dominique Schneider, Goran Peskir, Michel J. G. Weber

Publication date: 22 January 1998

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167407

zbMATH Keywords

covariance functionGaussian processesBochner theoremspectral measureoperator normGaussian randomizationcontractions in Hilbert spacesKolmogorov's three series theoremspectral lemmaorthogonal stochastic measureHerglotz theoremmean zero random variablesrandomly weighted seriesSzidon's theorem on lacunary trigonometrical series

Mathematics Subject Classification ID

Gaussian processes (60G15) Sums of independent random variables; random walks (60G50) Convergence and divergence of series and sequences (40A05) Convergence and divergence of series and sequences of functions (40A30) Functional calculus for linear operators (47A60) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24) (L^p)-limit theorems (60F25)

Related Items (5)

Perturbed ergodic theorems ⋮ Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces ⋮ Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued \(L_p\)-spaces ⋮ On the supremum of some random Dirichlet polynomials ⋮ Extensions of the Menchoff-Rademacher theorem with applications to ergodic theory

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