On construction of periodic wavelet frames

Pavel Andrianov, Maria Skopina

Research output

Abstract

A method for the construction of periodic dual wavelet frames is provided. The method is algorithmic, it allows to construct dual frames based on any suitable generating function. As a corollary, we describe a wide class of periodic functions which can be extended to a wavelet frame.

Original languageEnglish
Pages (from-to)241-249
Number of pages9
JournalEuropean Journal of Mathematics
Volume5
Issue number1
DOIs
Publication statusPublished - 15 Mar 2019

Fingerprint

Dual Frame
Wavelet Frames
Periodic Functions
Generating Function
Corollary
Class

Scopus subject areas

  • Mathematics(all)

Cite this

Andrianov, Pavel ; Skopina, Maria. / On construction of periodic wavelet frames. In: European Journal of Mathematics. 2019 ; Vol. 5, No. 1. pp. 241-249.
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On construction of periodic wavelet frames. / Andrianov, Pavel; Skopina, Maria.

In: European Journal of Mathematics, Vol. 5, No. 1, 15.03.2019, p. 241-249.

Research output

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T1 - On construction of periodic wavelet frames

AU - Andrianov, Pavel

AU - Skopina, Maria

PY - 2019/3/15

Y1 - 2019/3/15

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KW - Periodic multiresolution analysis

KW - Scaling sequence

KW - Wavelet system

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