Accession Number : ADA306275

Title :   Gramian Analysis of Affine Bases and Affine Frames.

Descriptive Note : Technical summary rept. no. 95-10,

Corporate Author : WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s) : Ron, Amos ; Shen, Zuowei

PDF Url : ADA306275

Report Date : APR 1995

Pagination or Media Count : 10

Abstract : Shift invariance fiberization techniques are applied for the study of the synthesis and analysis operators of affine (wavelet) systems. In this approach, one has first to circumvent the fact that affine systems are not shift invariant. The results obtained include characterizations of the Bessel property, the Riesz basis property and the frame property of such sets in terms of the behaviour of simpler operators. Various estimates of the lower and upper frame (Riesz) bounds are included, too.

Descriptors :   *TRANSFORMATIONS(MATHEMATICS), SYNTHESIS, SHIFTING, FRAMES, INVARIANCE, BESSEL FUNCTIONS.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE