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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 45, Issue 3, Pages 495–503
DOI: https://doi.org/10.1070/IM1995v045n03ABEH001668 (Mi im524) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Gaussian integrals and spectral theory over a local field

A. N. Kochubei

Institute of Mathematics, Ukrainian National Academy of Sciences
English version PDF (418 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/IM1995v045n03ABEH001668
Abstract: Vladimirov's methods for computing Gaussian integrals and constructing eigenfunctions of a fractional differentiation operator over the field of $p$-adic numbers is extended to the case of an arbitrary local field with a discrete valuation and characteristic of the residue field different from 2.
Received: 28.09.1993
Bibliographic databases:
UDC: 517.948.35+513.86
MSC: 46F10, 46F12, 46S10, 47A70
Language: English
Original paper language: Russian
Citation: A. N. Kochubei, “Gaussian integrals and spectral theory over a local field”, Russian Acad. Sci. Izv. Math., 45:3 (1995), 495–503
Citation in format AMSBIB
\Bibitem{Koc94}
\by A.~N.~Kochubei
\paper Gaussian integrals and spectral theory over a~local field
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 45
\issue 3
\pages 495--503
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\crossref{https://doi.org/10.1070/IM1995v045n03ABEH001668}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1317209}
\zmath{https://zbmath.org/?q=an:0852.46061}
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    • This publication is cited in the following 4 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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