Spectral properties of continuous refinement operators
نویسندگان
چکیده
منابع مشابه
Spectral Properties of Continuous Refinement Operators
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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15 صفحه اولSpectral Radii of Refinement and Subdivision Operators
The spectral radii of refinement and subdivision operators considered on the space L2 can be estimated by using norms of their symbols. In several cases, including those arising in wavelet analysis, the exact value of the spectral radius is found. For example, if T is the unit circle and if the symbol a of a refinement operator satisfies the conditions |a(z)|2 + |a(−z)|2 = 4, z ∈ T, and a(1) = ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1998
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-98-04006-4