Multivariate Multiscale Analysis

Abstract

The principal investigator produced five published papers during the period of support. The work centered on questions of Fourier/wavelet 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)

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Document Details

Document Type
Technical Report
Publication Date
Nov 08, 1990
Accession Number
ADA229502

Entities

People

  • W. R. Madych

Organizations

  • University of Connecticut

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Complex Numbers
  • Construction
  • Fourier Analysis
  • Fourier Series
  • Gaussian Quadrature
  • Hilbert Space
  • Integrals
  • Mathematics
  • Numbers
  • Numerical Analysis
  • Polynomials
  • Real Numbers
  • Scientific Research
  • Sequences
  • Translations

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)
  • Systems Analysis and Design