Asymptotics of eigenvalues of high-order differential operator with discrete self-similar weight
Spectral Theory
2010-09-28 v1
Abstract
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 spectral degree the asymptotics of eigenvalues is obtained. They are proved to have exponential growth and depend on the order of differential operator and self-similarity parameters.
Keywords
Cite
@article{arxiv.1009.5335,
title = {Asymptotics of eigenvalues of high-order differential operator with discrete self-similar weight},
author = {A. A. Vladimirov and I. A. Sheipak},
journal= {arXiv preprint arXiv:1009.5335},
year = {2010}
}
Comments
12 pages, 3 tables