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 contribution||Малые уклонения в L_2 взвешенных стационарных процессов|
|Number of pages||19|
|Publication status||Published - 2018|
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