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math.SP2010
Asymptotics of eigenvalues of high-order differential operator with discrete self-similar weight
A. A. Vladimirov, I. A. Sheipak
The spectral problem for the high order differential operator with singular weight is considered. If the weight is a generalized derivative of self-similar function with zero spect…
math.SP2010★ 8 cited
Degenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes
A. I. Nazarov, I. A. Sheipak
We find the logarithmic small ball asymptotics for the -norm with respect to a degenerate self-similar measures of a certain class of Gaussian processes including Brownian mot…