The multidimensional p-adic Green function

被引：4

作者：

Chuong, NM

Co, NV

机构：

[1] Hanoi Inst Math, Hanoi 10000, Vietnam

[2] Hanoi State Univ, Dept Math, Hanoi, Vietnam

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 03期

关键词：

D O I：

10.1090/S0002-9939-99-04954-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A proof much simpler than the one given by Bikulov (Investigation of the p-adic Green function,Teoret. Mat. Fit. 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.

引用

页码：685 / 694

页数：10

共 50 条

[1] An asymptotic expansion of the p-adic Green function
Jang, YH
[J]. TOHOKU MATHEMATICAL JOURNAL, 1998, 50 (02) : 229 - 242
[2] INVESTIGATION OF P-ADIC GREEN-FUNCTION
BIKULOV, AK
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1991, 87 (03) : 600 - 610
[3] ON p-ADIC MULTIDIMENSIONAL CONTINUED FRACTIONS
Murru, Nadir
Terracini, Lea
[J]. MATHEMATICS OF COMPUTATION, 2019, 88 (320) : 2913 - 2934
[4] P-ADIC INTEGRAL REPRESENTATION OF P-ADIC L-FUNCTION
MORITA, Y
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1978, 302 : 71 - 95
[5] Multidimensional p-Adic Wavelets for the Deformed Metric
Albeverio, Sergio
Kozyrev, Sergei, V
[J]. P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2010, 2 (04) : 265 - 277
[6] Multidimensional Hausdorff Operator on p-Adic Field
Volosivets, S. S.
[J]. P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2010, 2 (03) : 252 - 259
[7] MULTIDIMENSIONAL p-ADIC CONTINUED FRACTION ALGORITHMS
Saito, Asaki
Tamura, Jun-Ichi
Yasutomi, Shin-Ichi
[J]. MATHEMATICS OF COMPUTATION, 2020, 89 (321) : 351 - 372
[8] THE P-ADIC SIGMA FUNCTION
MAZUR, B
TATE, J
[J]. DUKE MATHEMATICAL JOURNAL, 1991, 62 (03) : 663 - 688
[9] Multidimensional Hausdorff operator on p-adic field
S. S. Volosivets
[J]. P-Adic Numbers, Ultrametric Analysis, and Applications, 2010, 2 (3) : 252 - 259
[10] Multidimensional p-adic wavelets for the deformed metric
Sergio Albeverio
Sergei V. Kozyrev
[J]. P-Adic Numbers, Ultrametric Analysis, and Applications, 2010, 2 (4) : 265 - 277

← 1 2 3 4 5 →