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Zeros of eigenfunctions of a class of generalized second order differential operators on the Cantor set

✍ Scribed by Uta Freiberg; Jörg-Uwe Löbus

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 165 KB
Volume: 265
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310133

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✦ Synopsis

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 Verlag GmbH & Co. KGaA, Weinheim)

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