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Ufimskii Matematicheskii Zhurnal, 2010, Volume 2, Issue 1, Pages 52–58 (Mi ufa41)  
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
Full-text PDF (380 kB) Citations (4)
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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
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. M. Dilmukhametova, A. U. Mullabaeva, V. V. Napalkov, “Generalized Fock space”, Ufa Math. J., 2:1 (2010)
Citation in format AMSBIB
\Bibitem{DilMulNap10}
\by A.~M.~Dilmukhametova, A.~U.~Mullabaeva, V.~V.~Napalkov
\paper Generalized Fock space
\jour Ufa Math. J.
\yr 2010
\vol 2
\issue 1
\mathnet{http://mi.mathnet.ru//eng/ufa41}
\zmath{https://zbmath.org/?q=an:1240.30222}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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