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On wavelet decomposition of Hermite type splines. / Dem'yanovich, Yu K.; Zimin, A. V.

In: Journal of Mathematical Sciences, Vol. 144, No. 6, 08.2007, p. 4568-4580.

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

Harvard

Dem'yanovich, YK & Zimin, AV 2007, 'On wavelet decomposition of Hermite type splines', Journal of Mathematical Sciences, vol. 144, no. 6, pp. 4568-4580. https://doi.org/10.1007/s10958-007-0295-y

APA

Dem'yanovich, Y. K., & Zimin, A. V. (2007). On wavelet decomposition of Hermite type splines. Journal of Mathematical Sciences, 144(6), 4568-4580. https://doi.org/10.1007/s10958-007-0295-y

Vancouver

Dem'yanovich YK, Zimin AV. On wavelet decomposition of Hermite type splines. Journal of Mathematical Sciences. 2007 Aug;144(6):4568-4580. https://doi.org/10.1007/s10958-007-0295-y

Author

Dem'yanovich, Yu K. ; Zimin, A. V. / On wavelet decomposition of Hermite type splines. In: Journal of Mathematical Sciences. 2007 ; Vol. 144, No. 6. pp. 4568-4580.

BibTeX

@article{1bca86483d354a2e95df9ebe21b2fa40,
title = "On wavelet decomposition of Hermite type splines",
abstract = "We consider wavelet decompositions of spaces of Hermite type splines of class C1(α, β) that are defined by a 4-component vector-valued function ℓ(t) C1 (α, β) by means of a grid X (not necessarily uniform) on (α, β) ℓ1 (the special case ℓ(t)def = (1, t, t2,t3) T corresponds to cubic Hermite splines). The basis wavelets obtained are compactly supported. The decomposition and reconstruction formulas are given. Bibliography: 8 titles.",
author = "Dem'yanovich, {Yu K.} and Zimin, {A. V.}",
note = "Funding Information: The work was partially supported by the Russian Foundation for Basic Researches (grant no. 07-01-00451 and no. 07-01-00269).",
year = "2007",
month = aug,
doi = "10.1007/s10958-007-0295-y",
language = "English",
volume = "144",
pages = "4568--4580",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - On wavelet decomposition of Hermite type splines

AU - Dem'yanovich, Yu K.

AU - Zimin, A. V.

N1 - Funding Information: The work was partially supported by the Russian Foundation for Basic Researches (grant no. 07-01-00451 and no. 07-01-00269).

PY - 2007/8

Y1 - 2007/8

N2 - We consider wavelet decompositions of spaces of Hermite type splines of class C1(α, β) that are defined by a 4-component vector-valued function ℓ(t) C1 (α, β) by means of a grid X (not necessarily uniform) on (α, β) ℓ1 (the special case ℓ(t)def = (1, t, t2,t3) T corresponds to cubic Hermite splines). The basis wavelets obtained are compactly supported. The decomposition and reconstruction formulas are given. Bibliography: 8 titles.

AB - We consider wavelet decompositions of spaces of Hermite type splines of class C1(α, β) that are defined by a 4-component vector-valued function ℓ(t) C1 (α, β) by means of a grid X (not necessarily uniform) on (α, β) ℓ1 (the special case ℓ(t)def = (1, t, t2,t3) T corresponds to cubic Hermite splines). The basis wavelets obtained are compactly supported. The decomposition and reconstruction formulas are given. Bibliography: 8 titles.

UR - http://www.scopus.com/inward/record.url?scp=34547534460&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0295-y

DO - 10.1007/s10958-007-0295-y

M3 - Article

VL - 144

SP - 4568

EP - 4580

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 5356172