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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 41, Issue 1, Pages 55–73
DOI: https://doi.org/10.1070/IM1993v041n01ABEH002251 (Mi im926) 		 
This article is cited in 6 scientific papers (total in 8 papers)

On spectral properties of $p$-adic pseudodifferential operators of Schrödinger type

V. S. Vladimirov
English version PDF (788 kB) Citations (8)
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DOI: https://doi.org/10.1070/IM1993v041n01ABEH002251
Abstract: Spectral problems are considered for $p$-adic pseudodifferential operators of Schrödinger type for open-closed sets (bounded or not) in the space $Q_p^n$ with a potential tending to $+\infty$ at infinity. Some inversion theorems are proved. A method is presented and justified for constructing all eigenfunctions and eigenvalues for $M$-invariant symbols.
Received: 14.01.1992
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1992, Volume 56, Issue 4, Pages 770–789
Bibliographic databases:
Document Type: Article
UDC: 512.625.5+517.984.46
MSC: Primary 58G15, 35S99, 12H25; Secondary 47G30, 14G20
Language: English
Original paper language: Russian
Citation: V. S. Vladimirov, “On spectral properties of $p$-adic pseudodifferential operators of Schrödinger type”, Izv. RAN. Ser. Mat., 56:4 (1992), 770–789; Russian Acad. Sci. Izv. Math., 41:1 (1993), 55–73
Citation in format AMSBIB
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\paper On spectral properties of $p$-adic pseudodifferential operators of Schr\"odinger type
\jour Izv. RAN. Ser. Mat.
\yr 1992
\vol 56
\issue 4
\pages 770--789
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 1
\pages 55--73
\crossref{https://doi.org/10.1070/IM1993v041n01ABEH002251}
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  • https://www.mathnet.ru/eng/im/v56/i4/p770
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:448
    Russian version PDF:133
    English version PDF:17
    References:67
    First page:5
     
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