A. N. Kochubei, “On $p$-adic Green's functions”, TMF, 96:1 (1993), 123–139; Theoret. and Math. Phys., 96:1 (1993), 854

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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 96, Number 1, Pages 123–139 (Mi tmf1495)

This article is cited in 12 scientific papers (total in 12 papers)

On

p

$p$ -adic Green's functions

A. N. Kochubei

Institute of Mathematics, Ukrainian National Academy of Sciences

Full-text PDF (1274 kB) Citations (12)

References:

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Abstract: Some classes of pseudo-differential operators over the field of

p

$p$ -adic numbers and local fields with discrete valuation are studied. Sufficient conditions for non-negativity of a Green function are found.

Received: 12.10.1992

English version:
Theoretical and Mathematical Physics, 1993, Volume 96, Issue 1, Pages 854–865
DOI: https://doi.org/10.1007/BF01074114

Bibliographic databases:

Language: Russian

Citation: A. N. Kochubei, “On

p

$p$ -adic Green's functions”, TMF, 96:1 (1993), 123–139; Theoret. and Math. Phys., 96:1 (1993), 854–865

Citation in format AMSBIB

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\transl

\jour Theoret. and Math. Phys.

\yr 1993

\vol 96

\issue 1

\pages 854--865

\crossref{https://doi.org/10.1007/BF01074114}

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Linking options:

https://www.mathnet.ru/eng/tmf1495

https://www.mathnet.ru/eng/tmf/v96/i1/p123

This publication is cited in the following 12 articles:

S. V. Kozyrev, “Methods and Applications of Ultrametric and $p$ -Adic Analysis: From Wavelet Theory to Biophysics”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), S1–S84
JIN-Woo SON, KYUNG SOO RIM, “GREEN FUNCTIONS ON THE p-ADIC VECTOR SPACE”, Communications of the Korean Mathematical Society, 20:4 (2005), 657
Proc. Steklov Inst. Math., 245 (2004), 135–142
S. V. Kozyrev, “ $p$ -Adic Pseudodifferential Operators and $p$ -Adic Wavelets”, Theoret. and Math. Phys., 138:3 (2004), 322–332
W. A. Zuniga-Galindo, “Pseudo-differential equations connected with p-adic forms and local zeta functions”, Bull. Austral. Math. Soc., 70:1 (2004), 73
ANATOLY N. KOCHUBEI, MUSTAFA R. SAIT-AMETOV, “INTERACTION MEASURES ON THE SPACE OF DISTRIBUTIONS OVER THE FIELD OF p-ADIC NUMBERS”, Infin. Dimens. Anal. Quantum. Probab. Relat. Top., 06:03 (2003), 389
Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields, 2001
A. N. Kochubei, “Fundamental solutions of pseudodifferential equations connected with $p$ -adic quadratic forms”, Izv. Math., 62:6 (1998), 1169–1188
Youngho Jang, “An asymptotic expansion of the $p$ -adic Green function”, Tohoku Math. J. (2), 50:2 (1998)
Youngho JANG, “Non-Archimedean quantum mechanics”, Tohoku Math. Publ., 10:10 (1998), 1
V.S. Vladimirov, “Some problems of analysis on the field ofp-adic numbers”, Integral Transforms and Special Functions, 6:1-4 (1998), 111
É. Yu. Lerner, “Feynman integrals of $p$ -adic argument in momentum space. I. Convergence”, Theoret. and Math. Phys., 102:3 (1995), 267–274

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	106
References:	59
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