On Lacunary Multiresolution Methods of Approximation in Hilbert Spaces

Abstract

We study lacunary multiresolution methods from the point of view of their analogy to the use of near-degenerate elements in finite and boundary element methods. The main results are characterization of the best N-term approximation of solutions of nonlinear operator equations and best N-term approximation by near-degenerate normal approximating families in Hilbert spaces.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011985

Entities

People

  • Lubomir T. Dechevski
  • Wolfgang L. Wendland

Organizations

  • University of Stuttgart

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Banach Space
  • Boundaries
  • Boundary Element Methods
  • Decomposition
  • Embedding
  • Equations
  • Error Analysis
  • Galerkin Method
  • Hilbert Space
  • Inequalities
  • Nonlinear Systems
  • Sequences
  • Technical Information Centers
  • Topology

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space