A geometrical solution of a problem on wavelets

• Autorzy: Antoine Ayache
• Języki publikacji: EN

Abstrakty

EN

We prove the existence of nonseparable, orthonormal, compactly supported wavelet bases for $L^2(ℝ^2)$ of arbitrarily high regularity by using some basic techniques of algebraic and differential geometry. We even obtain a much stronger result: ``most'' of the orthonormal compactly supported wavelet bases for $L^2(ℝ^2)$, of any regularity, are nonseparable

Kategorie tematyczne

• 42A16: Fourier coefficients, Fourier series of functions with special properties, special Fourier series

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 139
• Numer: 3
• Strony: 261-273

Daty

wydano

2000

otrzymano

1999-02-09

poprawiono

1999-11-19

Twórcy

autor

Antoine Ayache

• Laboratoire de Statistique et Probabilités, Université Paul Sabatier, 118, Route de Narbonne, 31062 Toulouse, France

Bibliografia

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