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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1996, Volume 60, Issue 1, Pages 165–174
DOI: https://doi.org/10.4213/im66
Bibliographic databases:
MSC: 43A32, 42C15, 43A40
Language: English
Original paper language: Russian
Citation: T. P. Lukashenko, “Decomposition systems on spaces with a measure”, Izv. RAN. Ser. Mat., 60:1 (1996), 165–174; Izv. Math., 60:1 (1996), 169–178
Citation in format AMSBIB
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\paper Decomposition systems on spaces with a~measure
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\yr 1996
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\issue 1
\pages 165--174
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\jour Izv. Math.
\yr 1996
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\pages 169--178
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  • https://www.mathnet.ru/eng/im66
  • https://doi.org/10.1070/IM1996v060n01ABEH000066
  • 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
    Statistics & downloads:
    Abstract page:514
    Russian version PDF:217
    English version PDF:26
    References:112
    First page:3
     
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