111 citations · 284 across the 47 of their papers we have counts for
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math.FA2015
Riesz-like bases in rigged Hilbert spaces
Giorgia Bellomonte, Camillo Trapani
The notions of Bessel sequence, Riesz-Fischer sequence and Riesz basis are generalized to a rigged Hilbert space $\D[t] \subset \H \subset \D^\times[t^\times]$. A Riesz-like basis,…
math.FA2015
Reproducing pairs of measurable functions
Jean-Pierre Antoine, Michael Speckbacher, Camillo Trapani
We analyze the notion of reproducing pair of weakly measurable functions, which generalizes that of continuous frame. We show, in particular, that each reproducing pair generates t…