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Ufimskii Matematicheskii Zhurnal, 2010, Volume 2, Issue 1, Pages 52–58
(Mi ufa41)
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This article is cited in 4 scientific papers (total in 4 papers)
Generalized Fock space
A. M. Dilmukhametovaa, A. U. Mullabaevaa, V. V. Napalkovb a Bashkir State University, Ufa, Russia
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
Abstract:
We introduce a generalized Fock space and consider main properties of this space. There is found an adjoint operation to operation of multiplication on variable $z$. Also there are defined eigenfunctions of adjoint operator. We study a generalized Laplace transformation and problem of construction of basis for introduced space.
Keywords:
the Fock space, an adjoint operator, the Laplace transformation, basis of the space, order and type of entire functions, the generalized differential operator.
Received: 18.02.2010
Citation:
A. M. Dilmukhametova, A. U. Mullabaeva, V. V. Napalkov, “Generalized Fock space”, Ufimsk. Mat. Zh., 2:1 (2010), 52–58
Linking options:
https://www.mathnet.ru/eng/ufa41 https://www.mathnet.ru/eng/ufa/v2/i1/p52
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Abstract page: | 1097 | Full-text PDF : | 351 | References: | 95 | First page: | 2 |
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