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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 89, Number 1, Pages 18–24 (Mi tmf5843)  
This article is cited in 15 scientific papers (total in 15 papers)

Spectrum of a self-adjoint operator in $L_2(K)$, where $K$ is a local field; analog of the Feynman–Kac formula

R. S. Ismagilov
Full-text PDF (720 kB) Citations (15)
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Abstract: We consider operators in $L_2(K)$, where $K$ is a local field that is a sum of the operator of convolution with a generalized function and multiplication by a function. A criterion of self-adjointness is given, and some results on the discrete spectrum are obtained. An analog of the Feynman–Kac formula is derived.
Received: 12.11.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 89, Issue 1, Pages 1024–1028
DOI: https://doi.org/10.1007/BF01016802
Bibliographic databases:
Language: Russian
Citation: R. S. Ismagilov, “Spectrum of a self-adjoint operator in $L_2(K)$, where $K$ is a local field; analog of the Feynman–Kac formula”, TMF, 89:1 (1991), 18–24; Theoret. and Math. Phys., 89:1 (1991), 1024–1028
Citation in format AMSBIB
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\by R.~S.~Ismagilov
\paper Spectrum of a~self-adjoint operator in $L_2(K)$, where~$K$ is a local field; analog of the Feynman--Kac formula
\jour TMF
\yr 1991
\vol 89
\issue 1
\pages 18--24
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1151367}
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\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 89
\issue 1
\pages 1024--1028
\crossref{https://doi.org/10.1007/BF01016802}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:531
    Full-text PDF :145
    References:74
    First page:3
     
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