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Sbornik: Mathematics, 1999, Volume 190, Issue 5, Pages 717–735
DOI: https://doi.org/10.1070/sm1999v190n05ABEH000403 (Mi sm403) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The $q$-Fourier transformation of $q$-generalized functions

M. A. Olshanetskya, V.-B. K. Rogovb

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b Moscow State University of Railway Communications
English version PDF (397 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/sm1999v190n05ABEH000403
Abstract: A study is made of functions on the lattice generated by the integer powers of $q^2$, $0<q<1$. A $q$-analogue of the Fourier transformation is constructed based on the Jackson integral in the space of generalized functions on the lattice.
Received: 03.02.1998
Bibliographic databases:
UDC: 517.58
MSC: Primary 42A38, 46F05; Secondary 81R50, 17B37, 81S05
Language: English
Original paper language: Russian
Citation: M. A. Olshanetsky, V.-B. K. Rogov, “The $q$-Fourier transformation of $q$-generalized functions”, Sb. Math., 190:5 (1999), 717–735
Citation in format AMSBIB
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\by M.~A.~Olshanetsky, V.-B.~K.~Rogov
\paper The $q$-Fourier transformation of $q$-generalized functions
\jour Sb. Math.
\yr 1999
\vol 190
\issue 5
\pages 717--735
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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