## Abstract Generalized second order differential operators of the form $ {d \over {d \mu}} {d \over {dx}} $ when __μ__ is a selfsimilar measure whose support is the classical Cantor set are considered. The asymptotic distribution of the zeros of the eigenfunctions is determined. (© 2004 WILEY‐VCH
A Transformation of Generalized Integro-Differential Operators of the KREIN-FELLER-LÉVY Type
✍ Scribed by Boldsuch Zagany
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 221 KB
- Volume
- 130
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Let in and p be increasing cont~inuous functions on [O. 11. ~( 0 ) =0, p ( 0 ) = 0 , and hEB[O, 13 (the space of ali bounded measurable functions 011 [0,
rp(.)+h(.) j-(4s) clnc(s)EC[O, 13:
and define for such functions f :
Evidently, if b is continuous, the definition of DmDp concides with the usual one as an operator in C[O, 11 (see [2], [Fj]. It is easily seen that for g ~C [ 0 ,
📜 SIMILAR VOLUMES
## 51. Some Preliminaries and Statement of the Results The main purpose of this article is to apply some results from the analytic microlocal analysis [6], [ll], [13] for study of analytic singularities for a class of differential operators of mixed type. In the announcement [4] the author consider