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A local wavelet basis for an irregular grid. / Demjanovich, Yu K.

In: Journal of Mathematical Sciences , Vol. 141, No. 6, 01.03.2007, p. 1618-1632.

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

Harvard

Demjanovich, YK 2007, 'A local wavelet basis for an irregular grid', Journal of Mathematical Sciences , vol. 141, no. 6, pp. 1618-1632. https://doi.org/10.1007/s10958-007-0071-z

APA

Demjanovich, Y. K. (2007). A local wavelet basis for an irregular grid. Journal of Mathematical Sciences , 141(6), 1618-1632. https://doi.org/10.1007/s10958-007-0071-z

Vancouver

Demjanovich YK. A local wavelet basis for an irregular grid. Journal of Mathematical Sciences . 2007 Mar 1;141(6):1618-1632. https://doi.org/10.1007/s10958-007-0071-z

Author

Demjanovich, Yu K. / A local wavelet basis for an irregular grid. In: Journal of Mathematical Sciences . 2007 ; Vol. 141, No. 6. pp. 1618-1632.

BibTeX

@article{2e5020d482164db3950df3593a6478cf,
title = "A local wavelet basis for an irregular grid",
abstract = "The spaces of Bφ-splines are proved to be embedded for an arbitrary grid refinement; the direct (wavelet) decomposition for chains of embedded spaces of Bφ-splines on a sequence of refined irregular grids is discussed; a wavelet basis of functions with compact supports is constructed; formulas of decomposition and reconstruction are provided. Simple solutions of certain interpolation problems in the spaces considered are suggested. Examples of the spline spaces are presented. Bibliography: 6 titles.",
author = "Demjanovich, {Yu K.}",
year = "2007",
month = mar,
day = "1",
doi = "10.1007/s10958-007-0071-z",
language = "English",
volume = "141",
pages = "1618--1632",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - A local wavelet basis for an irregular grid

AU - Demjanovich, Yu K.

PY - 2007/3/1

Y1 - 2007/3/1

N2 - The spaces of Bφ-splines are proved to be embedded for an arbitrary grid refinement; the direct (wavelet) decomposition for chains of embedded spaces of Bφ-splines on a sequence of refined irregular grids is discussed; a wavelet basis of functions with compact supports is constructed; formulas of decomposition and reconstruction are provided. Simple solutions of certain interpolation problems in the spaces considered are suggested. Examples of the spline spaces are presented. Bibliography: 6 titles.

AB - The spaces of Bφ-splines are proved to be embedded for an arbitrary grid refinement; the direct (wavelet) decomposition for chains of embedded spaces of Bφ-splines on a sequence of refined irregular grids is discussed; a wavelet basis of functions with compact supports is constructed; formulas of decomposition and reconstruction are provided. Simple solutions of certain interpolation problems in the spaces considered are suggested. Examples of the spline spaces are presented. Bibliography: 6 titles.

UR - http://www.scopus.com/inward/record.url?scp=33847004436&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0071-z

DO - 10.1007/s10958-007-0071-z

M3 - Article

AN - SCOPUS:33847004436

VL - 141

SP - 1618

EP - 1632

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 49712564