ON THE EIGENVALUE BEHAVIOR FOR A CLASS OF OPERATORS RELATED TO SELF-SIMILAR MEASURES ON R(D)

Authors
NAIMARK K SOLOMYAK M
Citation
K. Naimark et M. Solomyak, ON THE EIGENVALUE BEHAVIOR FOR A CLASS OF OPERATORS RELATED TO SELF-SIMILAR MEASURES ON R(D), Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 319(8), 1994, pp. 837-842
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
319
Issue
8
Year of publication
1994
Pages
837 - 842
Database
ISI
SICI code
0764-4442(1994)319:8<837:OTEBFA>2.0.ZU;2-F
Abstract
We obtain the sharp order of growth of the eigenvalue distribution fun ction for the operator in the Sobolev space H-0(1) (Omega), generated by the quadratic form integral(Omega) \u\(2) d mu, where Omega subset of R(d) is a bounded domain and mu is a probability self-similar fract al measure on Omega.