Self-similar functions in $L_2[0,1]$ and Sturm--Liouville Problem with singular indefinite weight

Details Self-similar functions in $L_2[0,1]$ and Sturm--Liouville Problem with singular indefinite weight Self-similar functions in $L_2[0,1]$ and Sturm--Liouville Problem with singular indefinite weight

2004-05-21

arxiv.org/abs/math/0405410v3

Mathematics

Functional Analysis

18 pages, 2 tables, 1 figure

Scientific paper

In the paper the Sturm-Liouville problem $-y''-\rho y=0$, $y(0)=y(1)=0$ is
studied. $\rho$ is a generalized derivative of function $P\in L_2[0,1]$. For
self-similar $P$ asymptotic formulas for eigenvalues are obtained.

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