On a parametrization of non-compact wavelet matrices by Wiener-Hopf factorization

Lasha Ephremidze; Nika Salia; Ilya Spitkovsky

On a parametrization of non-compact wavelet matrices by Wiener-Hopf factorization

Lasha Ephremidze, Nika Salia, Ilya Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A complete parametrization (one-to-one and onto mapping) of a certain class of non-compact wavelet matrices is introduced in terms of coordinates of infinite-dimensional Euclidian space. The developed method relies on Wiener-Hopf factorization of corresponding unitary matrix functions.

Original language	English (US)
Pages (from-to)	31-36
Number of pages	6
Journal	Transactions of A. Razmadze Mathematical Institute
Volume	173
Issue number	3
State	Published - Dec 2019

Keywords

Unitary matrix functions
Wavelet matrices
Wiener-Hopf factorization

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "On a parametrization of non-compact wavelet matrices by Wiener-Hopf factorization",

abstract = "A complete parametrization (one-to-one and onto mapping) of a certain class of non-compact wavelet matrices is introduced in terms of coordinates of infinite-dimensional Euclidian space. The developed method relies on Wiener-Hopf factorization of corresponding unitary matrix functions.",

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author = "Lasha Ephremidze and Nika Salia and Ilya Spitkovsky",

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AU - Ephremidze, Lasha

AU - Salia, Nika

AU - Spitkovsky, Ilya

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Y1 - 2019/12

N2 - A complete parametrization (one-to-one and onto mapping) of a certain class of non-compact wavelet matrices is introduced in terms of coordinates of infinite-dimensional Euclidian space. The developed method relies on Wiener-Hopf factorization of corresponding unitary matrix functions.

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KW - Unitary matrix functions

KW - Wavelet matrices

KW - Wiener-Hopf factorization

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On a parametrization of non-compact wavelet matrices by Wiener-Hopf factorization

Abstract

Keywords

ASJC Scopus subject areas

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