DIFFERENTIAL OPERATORS OF INFINITE ORDER IN THE SPACE OF FORMAL LAURENT SERIES AND IN THE RING OF POWER SERIES WITH INTEGER COEFFICIENTS

S. L. Gefter

首页> 外文期刊>Journal of Mathematical Sciences >DIFFERENTIAL OPERATORS OF INFINITE ORDER IN THE SPACE OF FORMAL LAURENT SERIES AND IN THE RING OF POWER SERIES WITH INTEGER COEFFICIENTS

【24h】

DIFFERENTIAL OPERATORS OF INFINITE ORDER IN THE SPACE OF FORMAL LAURENT SERIES AND IN THE RING OF POWER SERIES WITH INTEGER COEFFICIENTS

机译：正规劳伦序列空间和幂系数幂环中无限级的微分算子。

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We study the Hurwitz product (convolution) in the space of formal Laurent series over an arbitrary field of zero characteristic. We obtain the convolution equation which is satisfied by the Euler series. We find the convolution representation for an arbitrary differential operator of infinite order in the space of formal Laurent series and describe translation invariant operators in this space. Using the p-adic topology in the ring of integers, we show that any differential operator of infinite order with integer coefficients is well defined as an operator from Z[[z]] to Zp[[z]]. Bibliography: 20 titles.

机译：我们在零特征的任意场上研究正式Laurent级数空间中的Hurwitz乘积（卷积）。得到欧拉级数满足的卷积方程。我们在形式Laurent级数的空间中找到了一个无穷大的任意微分算子的卷积表示，并描述了该空间中的平移不变算子。使用整数环中的p-adic拓扑，我们证明具有整数系数的无限阶微分算子被很好地定义为从Z [[z]]到Zp [[z]]的算子。参考书目：20种。

著录项

来源
《Journal of Mathematical Sciences》 |2019年第3期|282-291|共10页
作者
S. L. Gefter;
展开▼
作者单位

Karazin Kharkiv National University 4, pl. Svobody, Kharkiv 61000, Ukraine;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词

相似文献

外文文献
中文文献
专利

1. 2-Adic valuations of coefficients of certain integer powers of formal power series [J] . Ulas Maciej International Journal of Number Theory . 2019,第4期

机译：形式幂级数的某些整数幂的系数的2-Adic估值
2. ON THE REFLEXIVITY OF THE MULTIPLICATION OPERATOR ON BANACH SPACES OF FORMAL LAURENT SERIES [J] . K. HEDAYATIAN International journal of mathematics . 2007,第3期

机译：关于正规劳伦序列Banach空间上乘积算子的自反性
3. LAURENT SERIES RINGS AND PSEUDO-DIFFERENTIAL OPERATOR RINGS [J] . D. A. Tuganbaev Journal of Mathematical Sciences . 2005,第3期

机译：劳伦系列环和伪微分算子环
4. Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations [C] . Sergei A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko International Workshop on Computer Algebra in Scientific Computing . 2020

机译：截断和无限功率系列中的线性常微分方程系数的作用
5. FOURIER SERIES AND HECKE OPERATORS ON GL(3,R) (+ MULTIPLICATIVE GROUP OF 3 X 3 MATRICES WITH REAL COEFFICIENTS). [D] . NAGARKATTE, UMESH PANDURANG. 1976

机译：GL（3，R）（+具有实系数的3 X 3矩阵的可乘组）上的傅立叶级数和Hecke运算符。
6. Formal Laurent series in several variables [O] . Ainhoa Aparicio Monforte, Manuel Kauers -1

机译：正式的Laurent系列变量
7. Formal Solutions and Factorization of Differential Operators with Power Series Coefficients [O] . VAN HOEIJ MARK 1997

机译：具有幂级数系数的微分算子的形式化解和因式分解
8. Solution of Ordinary Differential Equations Using Power Series with Decomposed Coefficients. Part 1. Mathematical Analysis [R] . Schett, A., Collin, M., Perrier, R. 1985

机译：用分解系数幂级数求解常微分方程。第1部分。数学分析

DIFFERENTIAL OPERATORS OF INFINITE ORDER IN THE SPACE OF FORMAL LAURENT SERIES AND IN THE RING OF POWER SERIES WITH INTEGER COEFFICIENTS

摘要

著录项

相似文献

相关主题

期刊订阅