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math.FA2011★ 17 cited
Multi-window Gabor frames in amalgam spaces
Radu Balan, Jens G. Christensen, Ilya A. Krishtal +2
We show that multi-window Gabor frames with windows in the Wiener algebra are Banach frames for all Wiener amalgam spaces. As a byproduct of our results w…
math.FA2011
Non-uniform painless decompositions for anisotropic Besov and Triebel-Lizorkin spaces
Carlos Cabrelli, Ursula Molter, José Luis Romero
In this article we construct affine systems that provide a simultaneous atomic decomposition for a wide class of functional spaces including the Lebesgue spaces $L^p(\Rdst)$, $1<p<…