We study -splines (existence, uniqueness and convergence) in Banach spaces with a view to applications in approximation. Our approach allows, in particular, considering some problems in a more regular domain, and hence facilitating their solution.
In this paper, we will discuss the meshless polyharmonic reconstruction of vector fields
from scattered data, possibly, contaminated by noise. We give an explicit solution of the
problem. After some theoretical framework, we discuss some numerical aspect arising in the
problems related to the reconstruction of vector fields
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