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Wavelets in Generalized Haar Spaces. / Dem’yanovich, Yu K.

In: Journal of Mathematical Sciences (United States), Vol. 251, No. 5, 12.2020, p. 615-634.

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

Harvard

Dem’yanovich, YK 2020, 'Wavelets in Generalized Haar Spaces', Journal of Mathematical Sciences (United States), vol. 251, no. 5, pp. 615-634. https://doi.org/10.1007/s10958-020-05120-5

APA

Dem’yanovich, Y. K. (2020). Wavelets in Generalized Haar Spaces. Journal of Mathematical Sciences (United States), 251(5), 615-634. https://doi.org/10.1007/s10958-020-05120-5

Vancouver

Dem’yanovich YK. Wavelets in Generalized Haar Spaces. Journal of Mathematical Sciences (United States). 2020 Dec;251(5):615-634. https://doi.org/10.1007/s10958-020-05120-5

Author

Dem’yanovich, Yu K. / Wavelets in Generalized Haar Spaces. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 251, No. 5. pp. 615-634.

BibTeX

@article{6489f42bca7549cda8e2e051484ae2d7,
title = "Wavelets in Generalized Haar Spaces",
abstract = "We consider wavelet decompositions of Haar type spaces on arbitrary nonuniform grids by methods of the nonclassical theory of wavelets. The number of nodes of the original (nonuniform) grid can be arbitrary, and the main grid can be any subset of the original one. We proposie decomposition algorithms that take into account the character of changes in the original numerical flow. The number of arithmetical operations is proportional to the length of the original flow, and successive real-time processing is possible for the original flow. We propose simple decomposition and reconstruction algorithms leading to formulas where the coefficients are independent of the grid and are equal to 1 in absolute value.",
author = "Dem{\textquoteright}yanovich, {Yu K.}",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2020",
month = dec,
doi = "10.1007/s10958-020-05120-5",
language = "English",
volume = "251",
pages = "615--634",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Wavelets in Generalized Haar Spaces

AU - Dem’yanovich, Yu K.

N1 - Publisher Copyright: © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2020/12

Y1 - 2020/12

N2 - We consider wavelet decompositions of Haar type spaces on arbitrary nonuniform grids by methods of the nonclassical theory of wavelets. The number of nodes of the original (nonuniform) grid can be arbitrary, and the main grid can be any subset of the original one. We proposie decomposition algorithms that take into account the character of changes in the original numerical flow. The number of arithmetical operations is proportional to the length of the original flow, and successive real-time processing is possible for the original flow. We propose simple decomposition and reconstruction algorithms leading to formulas where the coefficients are independent of the grid and are equal to 1 in absolute value.

AB - We consider wavelet decompositions of Haar type spaces on arbitrary nonuniform grids by methods of the nonclassical theory of wavelets. The number of nodes of the original (nonuniform) grid can be arbitrary, and the main grid can be any subset of the original one. We proposie decomposition algorithms that take into account the character of changes in the original numerical flow. The number of arithmetical operations is proportional to the length of the original flow, and successive real-time processing is possible for the original flow. We propose simple decomposition and reconstruction algorithms leading to formulas where the coefficients are independent of the grid and are equal to 1 in absolute value.

UR - http://www.scopus.com/inward/record.url?scp=85096018058&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-05120-5

DO - 10.1007/s10958-020-05120-5

M3 - Article

AN - SCOPUS:85096018058

VL - 251

SP - 615

EP - 634

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 85827434