Spectral Criteria for Existence ofGeneralized Ergodic Transforms

DOI10.1137/S0040585X97975460zbMath0881.60038MaRDI QIDQ4350361

V. F. Gaposhkin

Publication date: 29 September 1997

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

spectral measureunitary operatorsnormal operatorsstationary processesconvergence almost everywhereharmonizable processesergodic transforms

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) General second-order stochastic processes (60G12)

Related Items (12)

Everywhere divergence of one-sided ergodic Hilbert transform ⋮ Almost everywhere convergence of ergodic series ⋮ On Nörlund summation and ergodic theory, with applications to power series of Hilbert contractions ⋮ On the convergence of the rotated one-sided ergodic Hilbert transform ⋮ Fractional Poisson equations and ergodic theorems for fractional coboundaries ⋮ Pointwise ergodic theorems with rate and application to the CLT for Markov chains ⋮ 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 ⋮ POINTWISE ERGODIC THEOREMS WITH RATE WITH APPLICATIONS TO LIMIT THEOREMS FOR STATIONARY PROCESSES ⋮ On the a.s. convergence of the one-sided ergodic Hilbert transform ⋮ Extensions of the Menchoff-Rademacher theorem with applications to ergodic theory ⋮ Quenched Invariance Principles via Martingale Approximation

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