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Wavelets on a manifold. / Dem'Yanovich, Yu K.

In: Doklady Mathematics, Vol. 79, No. 1, 01.02.2009, p. 21-24.

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

Harvard

Dem'Yanovich, YK 2009, 'Wavelets on a manifold', Doklady Mathematics, vol. 79, no. 1, pp. 21-24. https://doi.org/10.1134/S1064562409010074

APA

Dem'Yanovich, Y. K. (2009). Wavelets on a manifold. Doklady Mathematics, 79(1), 21-24. https://doi.org/10.1134/S1064562409010074

Vancouver

Dem'Yanovich YK. Wavelets on a manifold. Doklady Mathematics. 2009 Feb 1;79(1):21-24. https://doi.org/10.1134/S1064562409010074

Author

Dem'Yanovich, Yu K. / Wavelets on a manifold. In: Doklady Mathematics. 2009 ; Vol. 79, No. 1. pp. 21-24.

BibTeX

@article{4cabebd42b024c5e88dd0625d30f59c3,
title = "Wavelets on a manifold",
abstract = "The scheme for constructing wavelets based on approximation relations are described, the conditions for embedding spaces of local functions are presented, and a wavelet decomposition is constructed. The coefficient in the linear dependence of the computational complexity on the amount of input data is estimated in terms of approximation order. The results show that for a covering family with certain equipment, there exists a unique system of functions satisfying almost everywhere the approximation relations. For certain equipment and a vector function with linearly independent components on corresponding cells, the systems of functions are linearly independent. On the assumption of point functionals, the basic flow is found in at most some multiplicative operations and at most additive operations in the decomposition.",
author = "Dem'Yanovich, {Yu K.}",
year = "2009",
month = feb,
day = "1",
doi = "10.1134/S1064562409010074",
language = "English",
volume = "79",
pages = "21--24",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - Wavelets on a manifold

AU - Dem'Yanovich, Yu K.

PY - 2009/2/1

Y1 - 2009/2/1

N2 - The scheme for constructing wavelets based on approximation relations are described, the conditions for embedding spaces of local functions are presented, and a wavelet decomposition is constructed. The coefficient in the linear dependence of the computational complexity on the amount of input data is estimated in terms of approximation order. The results show that for a covering family with certain equipment, there exists a unique system of functions satisfying almost everywhere the approximation relations. For certain equipment and a vector function with linearly independent components on corresponding cells, the systems of functions are linearly independent. On the assumption of point functionals, the basic flow is found in at most some multiplicative operations and at most additive operations in the decomposition.

AB - The scheme for constructing wavelets based on approximation relations are described, the conditions for embedding spaces of local functions are presented, and a wavelet decomposition is constructed. The coefficient in the linear dependence of the computational complexity on the amount of input data is estimated in terms of approximation order. The results show that for a covering family with certain equipment, there exists a unique system of functions satisfying almost everywhere the approximation relations. For certain equipment and a vector function with linearly independent components on corresponding cells, the systems of functions are linearly independent. On the assumption of point functionals, the basic flow is found in at most some multiplicative operations and at most additive operations in the decomposition.

UR - http://www.scopus.com/inward/record.url?scp=66749164774&partnerID=8YFLogxK

U2 - 10.1134/S1064562409010074

DO - 10.1134/S1064562409010074

M3 - Article

VL - 79

SP - 21

EP - 24

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 1

ER -

ID: 5174868