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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.FA2004
On the connection between sets of operator synthesis and sets of spectral synthesis for locally compact groups
Jean Ludwig, Lyudmila Turowska
We extend the results by Froelich and Spronk and Turowska on the connection between operator synthesis and spectral synthesis for A(G) to second countable locally compact groups G.…
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…