Proceedings of the American Mathematical Society

Author(s): Nguyen Minh Chuong; Nguyen Van Co
Journal: Proc. Amer. Math. Soc. 127 (1999), 685-694.
MSC (1991): Primary 11S80; Secondary 81T99
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Abstract: A proof much simpler than the one given by Bikulov (Investigation of the -adic Green function, Teoret. Mat. Fiz. 87 (1991), 376-390) for properties of the 2-dimensional

-adic Green function is shown. By this method one can treat a multidimensional case, and some sharp estimates are obtained.

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2.: Nguyen Minh Chuong, Nguyen Van Co and Tran Quoc Binh, $p$ -adic distributions and Sobolev spaces, Preprint 96/10, Hanoi Institute of Mathematics.
3.: Nguyen Minh Chuong and Nguyen Van Co, A new proof for $p$ -adic Green function, Preprint 1997, Hanoi Institute of Mathematics.
4.: Nguyen Minh Chuong, Nguyen Minh Tri and Le Quang Trung, Theory of Partial Differential Equations, Sci. & Jechn. Publ. House, Hanoi (1995).
5.: B. M. Dwork, $p$ -adic bound up regular singular points, Duke. Math. J. 62(1991), 689-720. MR 93c:12009
6.: A. Yu. Khrennikov, $p$ -adic valued distributions in mathematical physics, Kluwer Academic Publishers, Dordrecht, Boston, London (1994), MR 96c:46080
7.: N. I. Koblitz, $p$ -adic numbers, $p$ -adic analysis and zeta functions, Springer, New-York (1984), MR 86c:11086
8.: V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, $p$ -adic analysis and mathematical physics (Russian), Nauka, Moscow (1994), MR 96f:11156

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 11S80, 81T99

Nguyen Minh Chuong
Affiliation: Hanoi Institute of Mathematics, P.O. Box 631 Boho, 10 000 Hanoi, Vietnam
Email: nmchuong@thevinh.ac.vn

Nguyen Van Co
Affiliation: Department Of Mathematics, Hanoi State University, Mai Dich, Tu Liem, Hanoi, Vietnam

DOI: 10.1090/S0002-9939-99-04954-0
PII: S 0002-9939(99)04954-0
Received by editor(s): July 1, 1997
Additional Notes: This paper was supported by the National Natural Science Foundation of Vietnam
Communicated by: Dennis A. Hejhal
Copyright of article: Copyright 1999, American Mathematical Society

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