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

Lasha Ephremidze, Nika Salia, Ilya Spitkovsky

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)31-36
Number of pages6
JournalTransactions of A. Razmadze Mathematical Institute
Volume173
Issue number3
StatePublished - Dec 2019

Keywords

  • Unitary matrix functions
  • Wavelet matrices
  • Wiener-Hopf factorization

ASJC Scopus subject areas

  • Mathematics(all)

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