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Title: The q-Fourier transformation of q-generalized functions

Journal Article · · Sbornik. Mathematics
 [1];  [2]
  1. Russian Federation State Scientific Center 'A.I. Alikhanov Institute for Theoretical and Experimental Physics', Moscow (Russian Federation)
  2. Moscow State University of Railway Engineering, Moscow (Russian Federation)

A study is made of functions on the lattice generated by the integer powers of q{sup 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.

OSTI ID:
21202869
Journal Information:
Sbornik. Mathematics, Vol. 190, Issue 5; Other Information: DOI: 10.1070/SM1999v190n05ABEH000403; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

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