THEOREM OF THE INDEX OF P-ADIC DIFFERENTIAL-EQUATIONS .1.

被引：32

作者：

CHRISTOL, G

MEBKHOUT, Z

机构：

[1] UNIV PARIS 06,UFR MATH,F-75251 PARIS 5,FRANCE

[2] UNIV PARIS 07,UFR MATH,CNRS,URA 212,F-75251 PARIS 05,FRANCE

来源：

ANNALES DE L INSTITUT FOURIER | 1993年 / 43卷 / 05期

关键词：

D O I：

10.5802/aif.1383

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P(x, d/dx) be a differential operator with coefficients in the p-adic complex numbers field C(p). For every positive real number > 0, we define the set of exponents : exp0r(P), of P(x, d/dx) in the open disc D(0.r-) as a subset of Z(p)/Z. We proof that if each exponent is not a Liouville number the operator P(x, d/dx) has an index on the space A0r of the analytic functions in the open disc D(0, r-).

引用

页码：1545 / 1574

页数：30

共 29 条

[1]

Berthelot P., 1986, MEM SOC MATH FRANCE, P7

[2]

CHRISTOL G, 1984, ASTERISQUE, P151

[3] EFFECTIVE P-ADIC BOUNDS AT REGULAR SINGULAR POINTS [J].