Accession Number:
ADA229502
Title:
Multivariate Multiscale Analysis
Descriptive Note:
Final rept. 15 Sep 1989-14 Sep 1990,
Corporate Author:
CONNECTICUT UNIV STORRS DEPT OF MATHEMATICS
Personal Author(s):
Report Date:
1990-11-08
Pagination or Media Count:
85.0
Abstract:
The principal investigator produced five published papers during the period of support. The work centered on questions of Fourierwavelet analysis. This is an area which promises to have a major impact on signal processing and numerical analysis and requires careful theoretical underpinning. Dr. Madych has resolved several questions related to translation invariance, multiscale analysis and Radon transforms. Contents 1 Translation invariant multiscale analysis 2 Polyharmonic Splines, Multiscale Analysis, and Entire Functions 3 Summability and Approximate Reconstruction from Radon Transform Data 4 Bounds on Multivariate Polynomials and Exponential Error Estimates for Multiquadric Interpolation 5 Error Estimates for Interpolation by Generalized Splines. kr
Descriptors:
Subject Categories:
- Numerical Mathematics
- Statistics and Probability