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

Authors

  • Ding-Xuan Zhou Zhejiang University, China

Keywords:

continuous wavelet transform, function spaces, Toeplitz type operators, Schatten-Von Neumann class, Besov spaces

Abstract

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 Laguerre polynomials, we define a series of Toeplitz type operators and study the Schatten-Von Neumann classes of these operators.

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Published

1992-02-01

How to Cite

Zhou, D.-X. (1992). Wavelet transform, Toeplitz type operators and decomposition of functions on the upper half-plane. Rev. Anal. Numér. Théor. Approx., 21(1), 89–100. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1992-vol21-no1-art13

Issue

Vol. 21 No. 1 (1992)

Section

Articles

License

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.