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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Spectral properties of continuous
refinement operators


Authors: R. Q. Jia, S. L. Lee and A. Sharma
Journal: Proc. Amer. Math. Soc. 126 (1998), 729-737
MSC (1991): Primary 34K99, 41A15, 41A25, 41A30, 42C05, 42C15
MathSciNet review: 1416091
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Abstract: This paper studies the spectrum of continuous refinement operators and relates their spectral properties with the solutions of the corresponding continuous refinement equations.


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Additional Information

R. Q. Jia
Affiliation: Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Email: jia@xihu.math.ualberta.ca

S. L. Lee
Affiliation: Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 0511
Email: matleesl@haar.math.nus.sg

A. Sharma
Email: asharma@vega.math.ualberta.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04006-4
PII: S 0002-9939(98)04006-4
Keywords: Continuous refinement equations, up function, continuous refinement operators, compact operators, spectrum, spectral radius, eigenvalues, dilation constant, power iteration
Received by editor(s): October 25, 1995
Received by editor(s) in revised form: July 23, 1996
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1998 American Mathematical Society