8 citations · 10 across the 8 of their papers we have counts for
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On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight
A. A. Vladimirov, I. A. Sheipak
Sturm-Liouville problem with generalized derivative of self-similar Cantor type function as a weight is considered. Under Neumann and mixed boundary conditions the oscillating prop…
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…
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…
Asymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight
A. A. Vladimirov, I. A. Sheipak
The Sturm--Liouville problem , , where is a generalized derivative of self-similar function with spectral degree D=0, is studied. Asymp…