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Izvestiya: Mathematics, 1996, Volume 60, Issue 1, Pages 169–178
DOI: https://doi.org/10.1070/IM1996v060n01ABEH000066 (Mi im66) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Decomposition systems on spaces with a measure

T. P. Lukashenko
English version PDF (375 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM1996v060n01ABEH000066
Abstract: We propose a general construction of various decomposition systems for square-integrable functions, partial instances, of which are continuous wavelet decompositions. We give an analogue of the Parseval–Plancherel identity and a reconstruction formula as well as a number of examples of decomposition systems.
Received: 10.01.1995
Bibliographic databases:
MSC: 43A32, 42C15, 43A40
Language: English
Original paper language: Russian
Citation: T. P. Lukashenko, “Decomposition systems on spaces with a measure”, Izv. Math., 60:1 (1996), 169–178
Citation in format AMSBIB
\Bibitem{Luk96}
\by T.~P.~Lukashenko
\paper Decomposition systems on spaces with a~measure
\jour Izv. Math.
\yr 1996
\vol 60
\issue 1
\pages 169--178
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\crossref{https://doi.org/10.1070/IM1996v060n01ABEH000066}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746966775}
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  • https://www.mathnet.ru/eng/im/v60/i1/p165
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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