11 citations · 26 across the 15 of their papers we have counts for
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math.FA2013
Parseval frames with n+1 vectors in R^n
Laura De Carli, Zhongyuan Hu
We construct a Parseval frame with vectors in that contains a given vector. We also provide a characterization of unit-norm frames that can be scaled to a Parseval fra…
math.AP2013
Minimal potential results for the Schrodinger equation in a slab
Laura De Carli, Steve Hudson, Xiaosheng Li
Consider the Schrodinger equation -Δu =(k+V) u in an infinite slab S= \R^{n-1}x (0,1), where V is a bounded potential supported on a set D of finite measure. We prove necessary con…
math.FA2013
Split functions, Fourier transforms and multipliers
Laura De Carli, Steve Hudson
We study the effect of a splitting operator S_t on the L^p norm of the Fourier transform of a function f and on the operator norm of a Fourier multiplier m. Most of our results ass…