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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2017, Volume 2, Issue 1, Pages 88–98
(Mi chfmj48)
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This article is cited in 4 scientific papers (total in 4 papers)
Mathematics
Weighted distribution corresponding to quadratic form with complex coefficients
E. L. Shishkina Voronezh State University, Voronezh, Russia
Abstract:
Certain types of weighted distributions
associated with quadratic form with complex coefficients are considered. These distributions adopted for the work with differential operators containing the Bessel operator. The formulas are obtained for the fundamental solution of the iterated ultra-hyperbolic equation with Bessel operators instead of the second derivatives.
Keywords:
weighted distributions, fundamental solution, Bessel operator, $B$-ultra-hyperbolic operator.
Received: 12.01.2017 Revised: 24.03.2017
Citation:
E. L. Shishkina, “Weighted distribution corresponding to quadratic form with complex coefficients”, Chelyab. Fiz.-Mat. Zh., 2:1 (2017), 88–98
Linking options:
https://www.mathnet.ru/eng/chfmj48 https://www.mathnet.ru/eng/chfmj/v2/i1/p88
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