Dmitry Khavinson, John E. McCarthy, Harold S. Shapiro
Published 1999-08-28Version 1
We consider the problem of finding the best harmonic or analytic approximant to a given function. We discuss when the best approximant is unique, and what regularity properties the best approximant inherits from the original function. All our approximations are done in the mean with respect to Lebesgue measure in the plane or higher dimensions.
Comments: Plain TeX, 39 pages
Nonuniform Sampling and Recovery of Bandlimited Functions in Higher Dimensions
On the uniqueness of best approximation in Orlicz spaces
Extreme points of the unit ball of $\mathcal{L}(X)_w^*$ and best approximation in $\mathcal{L}(X)_w$
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