On Local Linear Functionals for L-Splines.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Quasi-interpolant functionals for L-splines are constructed. With them as a tool, an explicit construction of LB-splines is done, and a quick proof of the existence and uniqueness of the expansion of an L-spline in an LB-spline series is given. Moreover, a necessary and sufficient condition for a function, under which it generates a local linear functional that vanishes at all LB-splines but one, is obtained. Author
- Theoretical Mathematics