Abstract
The spectral radii of refinement and subdivision operators considered on the space L 2 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) = 2, then the spectral radius of this operator is equal to √2.
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