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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 234–243 (Mi timm1244)  
This article is cited in 1 scientific paper (total in 1 paper)

Two-scale relations for $B$-$\mathcal L$-splines with uniform knots

E. G. Pytkeev, V. T. Shevaldin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (179 kB) Citations (1)
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Abstract: Analogs of scaling relations are constructed for basis exponential splines with uniform knots corresponding to a linear differential operator of arbitrary order with constant coefficients and real pairwise distinct roots of the characteristic polynomial; the construction does not employ techniques from harmonic analysis.
Keywords: basis exponential splines, two-scale relations, scaling function, linear differential operator.
Received: 19.01.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 296, Issue 1, Pages 186–195
DOI: https://doi.org/10.1134/S0081543817020171
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: E. G. Pytkeev, V. T. Shevaldin, “Two-scale relations for $B$-$\mathcal L$-splines with uniform knots”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 234–243; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 186–195
Citation in format AMSBIB
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\by E.~G.~Pytkeev, V.~T.~Shevaldin
\paper Two-scale relations for $B$-$\mathcal L$-splines with uniform knots
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 4
\pages 234--243
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468445}
\elib{https://elibrary.ru/item.asp?id=25301000}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 296
\issue , suppl. 1
\pages 186--195
\crossref{https://doi.org/10.1134/S0081543817020171}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403678000017}
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  • https://www.mathnet.ru/eng/timm/v21/i4/p234
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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