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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 107–131 (Mi znsl6055)  
Spline-wavelet decomposition on an interval

Yu. K. Dem'yanovicha, B. G. Vagerb

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg State University of Architecture and Civil Engineering, St. Petersburg, Russia
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Abstract: For the second-order spline-wavelet representations on an interval, the conditions under which decomposition operators are independent of the order of elementary operations are established. The notion of $k$-localized systems of functionals is introduced, and the operator set in which the embedding operator possesses a unique left inverse is studied.
Key words and phrases: approximation relations, splines, wavelets, decomposition, reconstruction, embedding, prolangation, calibration relations.
Received: 05.11.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 5, Pages 736–752
DOI: https://doi.org/10.1007/s10958-015-2396-3
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: Yu. K. Dem'yanovich, B. G. Vager, “Spline-wavelet decomposition on an interval”, Computational methods and algorithms. Part XXVII, Zap. Nauchn. Sem. POMI, 428, POMI, St. Petersburg, 2014, 107–131; J. Math. Sci. (N. Y.), 207:5 (2015), 736–752
Citation in format AMSBIB
\Bibitem{DemVag14}
\by Yu.~K.~Dem'yanovich, B.~G.~Vager
\paper Spline-wavelet decomposition on an interval
\inbook Computational methods and algorithms. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 428
\pages 107--131
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6055}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 5
\pages 736--752
\crossref{https://doi.org/10.1007/s10958-015-2396-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949625189}
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