We find logarithmic asymptotics of -small deviation probabilities for weighted stationary Gaussian processes (both for real and complex-valued) having a power-type discrete or continuous spectrum. Our results are based on the spectral theory of pseudo-differential operators developed by Birman and Solomyak.

Translated title of the contributionМалые уклонения в L_2 взвешенных стационарных процессов
Original languageEnglish
Pages (from-to)387-405
Number of pages19
Issue number2
Publication statusPublished - 2018

Scopus subject areas

  • Mathematics(all)

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