Approximation by Spherical Waves in Lp-Space
Approximation by Spherical Waves in Lp-Space
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Date
1996
Authors
Agranovsky, Mark
Berenstein, Carlos A.
Kuchment, Peter
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Abstract
We prove that functions of the form f(1x-a1), a in a closed surface, are dense in the space of all functions in Lp, for zn/(n+1). This property fails for 1zn/(n+1). By letting f be a Gsussian, we obtain a result about approximation by wavelets generated by the Gaussian.