@article {IOPORT.05763614,
    author       = {Fuselier, Edward J.},
    title        = {Sobolev-type approximation rates for divergence-free and curl-free RBF interpolants.},
    year         = {2008},
    journal      = {Mathematics of Computation},
    volume       = {77},
    number       = {263},
    issn         = {0025-5718},
    pages        = {1407-1423},
    publisher    = {American Mathematical Society, Providence, RI},
    doi          = {10.1090/S0025-5718-07-02096-0},
    abstract     = {The results of this paper are part of the author's dissertation. Recently, error estimates have made available for divergence-free radial basis function (RBS) interpolants. These results are only valid for functions within the associated reproducing kernel Hilbert space (RKHS) of the matrix-valued RBF. Functions within the associated RKHS, also know as the ``native space of the RBFF, can be characterized as vector fields having a specific smoothness, making the native quit small. Sobolev-type error estimates when the target function is less smooth than functions in the native space developed in this paper.},
    reviewer     = {Michael M. Pahirya (Mukachevo)},
    identifier   = {05763614},
}