Antoine Ayache
Abstract
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
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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
Key concepts: Mathematics, Orthonormal basis, Wavelet, Algebraic number, Pure mathematics, Differential (mechanical device), Mathematical analysis, Algebra over a field