Wavelet transform, Toeplitz type operators and decomposition of functions on the upper half-plane

In this paper we consider the decomposition of functions on the upper half-plane into orthogonal subspaces which are isometric to \(L^{2}(\mathbb{R})\) by continuous wavelet transforms. A necessary and sufficient condition for such a decomposition is given. From such a decomposition by general Lagu...

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Bibliographic Details
Main Author: Ding-Xuan Zhou
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 1992-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/448