A spectral representation for weakly periodic sequences of bounded linear transformations

DOI10.1023/A:1006558927961zbMath0918.47015OpenAlexW1729951013MaRDI QIDQ1288902

Ahmad Reza Soltani, Zohreh Shishebor

Publication date: 18 May 1999

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006558927961

zbMATH Keywords

Fourier coefficientoperator-valued measureweak moment sequenceweakly periodic operator sequence

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Vector-valued measures and integration (46G10)

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On infinite dimensional periodically correlated random fields: spectrum and evolutionary spectra ⋮ On the asymptotic behavior of the periodograms of periodically correlated spatial processes: Periodicity detection ⋮ Hilbertian spatial periodically correlated first order autoregressive models ⋮ Periodically correlated autoregressive Hilbertian processes ⋮ On infinite dimensional discrete time periodically correlated processes ⋮ A Wavelet Characterization of Continuous-Time Periodically Correlated Processes with Application to Simulation ⋮ Inference on periodograms of infinite dimensional discrete time periodically correlated processes

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