Accession Number:

ADA276470

Title:

Frames and Stable Bases for Shift-Invariant Subspaces of L2(IRd)

Descriptive Note:

Summary rept.

Corporate Author:

WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

1994-02-01

Pagination or Media Count:

45.0

Abstract:

We study in this paper certain types of bases for shift-invariant subspaces. Our primary objective is to connect among three important families of basis sets shift-invariant sets. Weyl-Heisenberg sets, and affine wavelet sets. The present paper is the first in a series of three, and is concerned with the basic theory of shift-invariant bases for the shift-invariant spaces. The two papers, RS1 and RS2, will focus on the applications of the theory developed here to Weyl-Heisenberg and affine sets

Subject Categories:

  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE