On characterizations of multiwavelets in 𝐿²(ℝⁿ)

Bownik, Marcin

doi:10.1090/S0002-9939-01-05942-1

On characterizations of multiwavelets in $L^{2}(\mathbb {R}^n)$
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by Marcin Bownik

Proc. Amer. Math. Soc. 129 (2001), 3265-3274

DOI: https://doi.org/10.1090/S0002-9939-01-05942-1

Published electronically: March 29, 2001

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Abstract:

We present a new approach to characterizing (multi)wavelets by means of basic equations in the Fourier domain. Our method yields an uncomplicated proof of the two basic equations and a new characterization of orthonormality and completeness of (multi)wavelets.

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