10 citations · 10 across the 2 of their papers we have counts for
4 papers
Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames
Ole Christensen, Richard S. Laugesen
We discuss the concepts of pseudo-dual frames and approximately dual frames, and illuminate their relationship to classical frames. Approximately dual frames are easier to construc…
Moment inequalities for equilibrium measures in the plane
A. Baernstein, R. S. Laugesen, I. E. Pritsker
The equilibrium measure of a compact plane set gives the steady state distribution of charges on the conductor. We show that certain moments of this equilibrium measure, when taken…
Heteroclinic orbits, mobility parameters and stability for thin film type equations
R. S. Laugesen, M. C. Pugh
We study numerically the phase space of the evolution equation h_t = -(h^n h_{xxx})_x - B (h^m h_x)_x . Here h(x,t) is nonnegative, n>0 and m is real, and the Bond number B is posi…
Energy levels of steady states for thin film type equations
R. S. Laugesen, M. C. Pugh
We study the phase space of the evolution equation h_t = -(f(h) h_{xxx})_x - (g(h) h_x)_x by means of a dissipated energy (a Liapunov function). Here h(x,t) is nonnegative, and at…