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math.FA2009
Optimal polynomial decay of functions and operator semigroups
Alexander Borichev, Yuri Tomilov
We characterize the polynomial decay of orbits of Hilbert space -semigroups in resolvent terms. We also show that results of the same type for general Banach space semigroups…
math.CV2009
Frame Constants of Gabor Frames near the Critical Density
A. Borichev, K. Gröchenig, Yu. Lyubarskii
We consider Gabor frames generated by a Gaussian function and describe the behavior of the frame constants as the density of the lattice approaches the critical value.