Standard

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: Contribution to journalArticlepeer-review

Harvard

Andrianov, P & Skopina, M 2019, 'On construction of periodic wavelet frames', European Journal of Mathematics, vol. 5, no. 1, pp. 241-249. https://doi.org/10.1007/s40879-018-0277-2

APA

Andrianov, P., & Skopina, M. (2019). On construction of periodic wavelet frames. European Journal of Mathematics, 5(1), 241-249. https://doi.org/10.1007/s40879-018-0277-2

Vancouver

Andrianov P, Skopina M. On construction of periodic wavelet frames. European Journal of Mathematics. 2019 Mar 15;5(1):241-249. https://doi.org/10.1007/s40879-018-0277-2

Author

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

BibTeX

@article{62faa1f5edaa477789f02fdbdd61bd80,
title = "On construction of periodic wavelet frames",
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.",
keywords = "Dual frames, Periodic multiresolution analysis, Scaling sequence, Wavelet system",
author = "Pavel Andrianov and Maria Skopina",
year = "2019",
month = mar,
day = "15",
doi = "10.1007/s40879-018-0277-2",
language = "English",
volume = "5",
pages = "241--249",
journal = "European Journal of Mathematics",
issn = "2199-675X",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - On construction of periodic wavelet frames

AU - Andrianov, Pavel

AU - Skopina, Maria

PY - 2019/3/15

Y1 - 2019/3/15

N2 - 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.

AB - 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.

KW - Dual frames

KW - Periodic multiresolution analysis

KW - Scaling sequence

KW - Wavelet system

UR - http://www.scopus.com/inward/record.url?scp=85062280192&partnerID=8YFLogxK

U2 - 10.1007/s40879-018-0277-2

DO - 10.1007/s40879-018-0277-2

M3 - Article

AN - SCOPUS:85062280192

VL - 5

SP - 241

EP - 249

JO - European Journal of Mathematics

JF - European Journal of Mathematics

SN - 2199-675X

IS - 1

ER -

ID: 45798985