On Lacunary Multiresolution Methods of Approximation in Hilbert Spaces
STUTTGART UNIV (GERMANY) MATHEMATICS INST
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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.
- Numerical Mathematics
- Theoretical Mathematics