A. Kh. Bikulov, “Investigation of $p$-adic Green's function”, TMF, 87:3 (1991), 376–390; Theoret. and Math. Phys., 87:3 (1991), 600

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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 87, Number 3, Pages 376–390 (Mi tmf5497)

This article is cited in 11 scientific papers (total in 11 papers)

Investigation of $p$-adic Green's function

A. Kh. Bikulov

Full-text PDF (1078 kB) Citations (11)

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Abstract: The properties of the $p$-adic Green's function of two-dimensional quantum field theory in the Euclidean formulation are studied. Methods of calculating some double integrals with respect to the Hear measure are considered.

Received: 28.11.1990

English version:
Theoretical and Mathematical Physics, 1991, Volume 87, Issue 3, Pages 600–610
DOI: https://doi.org/10.1007/BF01017946

Bibliographic databases:

Language: Russian

Citation: A. Kh. Bikulov, “Investigation of $p$-adic Green's function”, TMF, 87:3 (1991), 376–390; Theoret. and Math. Phys., 87:3 (1991), 600–610

Citation in format AMSBIB

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\transl

\jour Theoret. and Math. Phys.

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\pages 600--610

\crossref{https://doi.org/10.1007/BF01017946}

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https://www.mathnet.ru/eng/tmf5497

https://www.mathnet.ru/eng/tmf/v87/i3/p376

This publication is cited in the following 11 articles:

Torresblanca-Badillo A., “Non-Archimedean Generalized Bessel Potentials and Their Applications”, J. Math. Anal. Appl., 497:2 (2021), 124874
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
Dejan Dimitrijevic, Goran Djordjevic, Ljubisa Nesic, “On green function for the free particle”, Filomat, 21:2 (2007), 251
Dejan Dimitrijevic, Goran Djordjevic, Ljubisa Nesic, “Propagator for the free relativistic particle on Archimedean and no Archimedean spaces”, Facta Univ Phys Chem Technol, 3:1 (2004), 7
V. S. Vladimirov, “Tables of Integrals of Complex-Valued Functions of $p$-Adic Arguments”, Proc. Steklov Inst. Math., 284, suppl. 2 (2014), S1–S59
A. Kh. Bikulov, “Stochastic $p$-adic equations of mathematical physics”, Theoret. and Math. Phys., 119:2 (1999), 594–604
Nguyen Chuong, Nguyen Van Co, “The multidimensional 𝑝-adic Green function”, Proc. Amer. Math. Soc., 127:3 (1999), 685
Youngho Jang, “An asymptotic expansion of the $p$-adic Green function”, Tohoku Math. J. (2), 50:2 (1998)
A. Kh. Bikulov, I. V. Volovich, “$p$-adic Brownian motion”, Izv. Math., 61:3 (1997), 537–552
A. N. Kochubei, Operator Theory: Advances and Applications, 70, Mathematical Results in Quantum Mechanics, 1994, 353
A. N. Kochubei, “On $p$-adic Green's functions”, Theoret. and Math. Phys., 96:1 (1993), 854–865

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

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Abstract page:	416
Full-text PDF :	135
References:	78
First page:	1

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