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

Freiberg Uta | Zendy; Löbus JörgUwe | Zendy

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

Author(s) -

Freiberg Uta,

Löbus JörgUwe

Publication year - 2004

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310133

Subject(s) - mathematics , eigenfunction , order (exchange) , class (philosophy) , cantor set , differential operator , set (abstract data type) , measure (data warehouse) , distribution (mathematics) , pure mathematics , mathematical analysis , differential (mechanical device) , eigenvalues and eigenvectors , physics , finance , quantum mechanics , database , artificial intelligence , computer science , engineering , economics , programming language , aerospace engineering

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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