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The multidimensional $p$-adic Green function


Authors: Nguyen Minh Chuong and Nguyen Van Co
Journal: Proc. Amer. Math. Soc. 127 (1999), 685-694
MSC (1991): Primary 11S80; Secondary 81T99
DOI: https://doi.org/10.1090/S0002-9939-99-04954-0
MathSciNet review: 1618721
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Abstract: A proof much simpler than the one given by Bikulov (Investigation of the $p$-adic Green function, Teoret. Mat. Fiz. 87 (1991), 376-390) for properties of the 2-dimensional $p$-adic Green function is shown. By this method one can treat a multidimensional case, and some sharp estimates are obtained.

References [Enhancements On Off] (What's this?)

  • 1. A. Kh. Bikulov, Investigation of a 𝑝-adic Green function, Teoret. Mat. Fiz. 87 (1991), no. 3, 376–390 (Russian, with English summary); English transl., Theoret. and Math. Phys. 87 (1991), no. 3, 600–610. MR 1129672, https://doi.org/10.1007/BF01017946
  • 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.
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Additional Information

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: https://doi.org/10.1090/S0002-9939-99-04954-0
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
Article copyright: © Copyright 1999 American Mathematical Society