Accession Number:

ADA238165

Title:

Approximation from Shift-Invariant Subspaces of L sup 2 (R sup d)

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Report Date:

1991-07-06

Pagination or Media Count:

22.0

Abstract:

A complete characterization is given of closed shift-invariant subspaces of which provide a specified approximation order. When such a space is principal i.e., generated by a single function, then this characterization is in terms of the Fourier transform of the generator. As a special case, we obtain the classical Strang-Fix conditions, but without requiring the generating function to decay at infinity. The approximation order of a general closed shift-invariant space is shown to be already realized by a specifiable principal subspace.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE