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math.FA2005

Beurling-Pollard type theorems

Victor Shulman, Lyudmila Turowska

We establish a version of the Beurling-Pollard theorem for operator synthesis and apply it to derive some results on linear operator equations and to prove a Beurling-Pollard type…

math.FA2003

Operator synthesis. I. Synthetic sets, bilattices and tensor algebras

Victor Shulman, Lyudmila Turowska

The interplay between the invariant subspace theory and spectral synthesis for locally compact abelian group discovered by Arveson is extended to include other topics as harmonic a…