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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2011 Volume 395, Pages 31–60 (Mi znsl4641)

This article is cited in 3 papers

Nonsmooth spline-wavelet decompositions and their properties

Yu. K. Dem'yanovich

Saint-Petersburg State University, St. Petersburg, Russia

Abstract: Simple methods for constructing embedded spaces of splines (in general, nonsmooth and nonpolynomial) of the first order corresponding to local coarsening of an irregular mesh are provided, their wavelet decompositions are presented, and the commutativity of the decomposition operators is established.

Key words and phrases: wavelets, splines, decomposition, approximation relations, calibration relations, reconstruction.

UDC: 519

Received: 12.10.2011


 English version:
Journal of Mathematical Sciences (New York), 2012, 182:6, 761–778

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