Boehmians on the sphere

被引：2

作者：

Mikusinski, P ^{[1
]}

Pyle, BA ^{[1
]}

机构：

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2000年 / 10卷 / 02期

关键词：

Boehmian; convolution; generalized functions;

D O I：

10.1080/10652460008819277

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A convolution structure is defined on SN-1, the unit sphere in R-N. It is used to construct a space of Boehmians on SN-1 which generalizes the space of Schwartz distributions on SN-1 Basic properties of those Boehmians are investigated.

引用

页码：93 / 100

页数：8

共 8 条

[1] SUPPORT OF MIKUSINSKI OPERATORS
BOEHME, TK
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 176 (449) : 319 - 334
[2] MIKUSINSKI J, 1981, CR ACAD SCI I-MATH, V293, P463
[3] On flexibility of Boehmians
Mikusinski, P
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1996, 4 (1-2) : 141 - 146
[4] BOEHMIANS AND GENERALIZED-FUNCTIONS
MIKUSINSKI, P
[J]. ACTA MATHEMATICA HUNGARICA, 1988, 51 (3-4) : 271 - 281
[5] Mikusinski P., 1983, Japan J. Math., V9, P159
[6] PERIODIC GENERALIZED-FUNCTIONS
NEMZER, D
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1990, 20 (03) : 657 - 669
[7] PERIODIC BOHEMIANS .2.
NEMZER, D
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1991, 44 (02) : 271 - 278
[8] Nemzer D., 1989, INT J MATH MATH SCI, V12, P685

← 1 →