Data Assimilation and Sampling in Banach spaces

Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk

This paper studies the problem of approximating a function $f$ in a Banach space $X$ from measurements $l_j(f)$, $j=1,\dots ,m$, where the $l_j$ are linear functionals from $X^{\ast }$. M…