APPLICATIONS OF P-ADIC GENERALIZED FUNCTIONS AND APPROXIMATIONS BY A SYSTEM OF P-ADIC TRANSLATIONS OF A FUNCTION

被引：3

作者：

Volosivets, S. S. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2009年 / 50卷 / 01期

关键词：

P-adic generalized function; L(loc)(p)(R(+)); multiplicative Fourier transform; Lebesgue points of order p; Wiener tauberian theorem; Wiener theorem on denseness of translations; WIENERS TAUBERIAN THEOREM; DISTRIBUTIONS;

D O I：

10.1007/s11202-009-0001-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under some conditions we prove that the convergence of a sequence of functions in the space of P-adic generalized functions is equivalent to its convergence in the space of locally integrable functions. Some analogs are established of the Wiener tauberian theorem and the Wiener theorem on denseness of translations for P-adic convolutions and translations.

引用

页码：1 / 13

页数：13

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