Multiresolution Analysis by Infinitely Differentiable Compactly Supported Functions

Abstract

The paper is concerned with the introduction and study of multiresolution analysis based on the up function, which is an infinitely differentiable function supported on (0,2). Such analysis is, necessarily, nonstationary. It is shown that the approximation orders associated with the corresponding spaces are spectral, thus making the spaces attractive for the approximation of very smooth functions.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1992
Accession Number
ADA256526

Entities

People

  • A. Ron
  • N. Dyn

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Computer Science
  • Convolution
  • Decomposition
  • Equations
  • Generators
  • Intervals
  • Military Research
  • North Carolina
  • Notation
  • Periodic Functions
  • Polynomials
  • Sequences
  • Stationary
  • Truncation
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Structural Dynamics.

Technology Areas

  • Space