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

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
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
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University. All rights reserved.

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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language = "English",

volume = "173",

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AU - Ephremidze, Lasha

AU - Salia, Nika

AU - Spitkovsky, Ilya

PY - 2019/12

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.

AB - 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.

KW - Unitary matrix functions

KW - Wavelet matrices

KW - Wiener-Hopf factorization

UR - https://www.scopus.com/pages/publications/85103421157

M3 - Article

AN - SCOPUS:85103421157

SN - 2346-8092

VL - 173

SP - 31

EP - 36

JO - Transactions of A. Razmadze Mathematical Institute

JF - Transactions of A. Razmadze Mathematical Institute

IS - 3

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this