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Adaptive Haar Type Wavelets on Manifolds. / Dem’yanovich, Yu K.

In: Journal of Mathematical Sciences (United States), Vol. 251, No. 6, 12.2020, p. 797-813.

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

Harvard

Dem’yanovich, YK 2020, 'Adaptive Haar Type Wavelets on Manifolds', Journal of Mathematical Sciences (United States), vol. 251, no. 6, pp. 797-813. https://doi.org/10.1007/s10958-020-05130-3

APA

Dem’yanovich, Y. K. (2020). Adaptive Haar Type Wavelets on Manifolds. Journal of Mathematical Sciences (United States), 251(6), 797-813. https://doi.org/10.1007/s10958-020-05130-3

Vancouver

Dem’yanovich YK. Adaptive Haar Type Wavelets on Manifolds. Journal of Mathematical Sciences (United States). 2020 Dec;251(6):797-813. https://doi.org/10.1007/s10958-020-05130-3

Author

Dem’yanovich, Yu K. / Adaptive Haar Type Wavelets on Manifolds. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 251, No. 6. pp. 797-813.

BibTeX

@article{b6514eeaaacc40c69c6a7a71d7c78c78,
title = "Adaptive Haar Type Wavelets on Manifolds",
abstract = "We consider embedded Haar type spaces associated with cell subdivisions of a smooth manifold. We use an adaptivity criterion connected with a nonnegative set function possessing certain monotonicity properties. We propose an algorithm for constructing embedded spaces satisfying the adaptivity criterion. To construct the wavelet decomposition, we apply the nonclassical approach and obtain the adaptive wavelet decomposition of the Haar type space on the manifold. Some model examples are given.",
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/s10958-020-05130-3",
language = "English",
volume = "251",
pages = "797--813",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Adaptive Haar Type Wavelets on Manifolds

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 embedded Haar type spaces associated with cell subdivisions of a smooth manifold. We use an adaptivity criterion connected with a nonnegative set function possessing certain monotonicity properties. We propose an algorithm for constructing embedded spaces satisfying the adaptivity criterion. To construct the wavelet decomposition, we apply the nonclassical approach and obtain the adaptive wavelet decomposition of the Haar type space on the manifold. Some model examples are given.

AB - We consider embedded Haar type spaces associated with cell subdivisions of a smooth manifold. We use an adaptivity criterion connected with a nonnegative set function possessing certain monotonicity properties. We propose an algorithm for constructing embedded spaces satisfying the adaptivity criterion. To construct the wavelet decomposition, we apply the nonclassical approach and obtain the adaptive wavelet decomposition of the Haar type space on the manifold. Some model examples are given.

UR - http://www.scopus.com/inward/record.url?scp=85096346051&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-05130-3

DO - 10.1007/s10958-020-05130-3

M3 - Article

AN - SCOPUS:85096346051

VL - 251

SP - 797

EP - 813

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 85827386