SOME PROPERTIES OF HANKEL CONVOLUTION-OPERATORS

被引：26

作者：

BETANCOR, JJ ^{[1
]}

MARRERO, I ^{[1
]}

机构：

[1] UNIV LA LAGUNA,DEPT ANAL MATEMAT,E-38271 LA LAGUNA,SPAIN

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1993年 / 36卷 / 04期

关键词：

GENERALIZED FUNCTIONS; HANKEL TRANSFORMATION; HANKEL TRANSLATION; HANKEL CONVOLUTION;

D O I：

10.4153/CMB-1993-054-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H(mu)' be the Zemanian space of Hankel transformable generalized functions and let O(mu,*)' be the space of Hankel convolution operators for H(mu)'. This H(mu)' is the dual of a subspace H(mu) of O(mu,*)' for which O(mu,*)' is also the space of Hankel convolutors. In this paper the elements of O(mu,*)' are characterized as those in L(H(mu)) and in L(H(mu)') that commute with Hankel translations. Moreover, necessary and sufficient conditions on the generalized Hankel transform H(mu)'S of S is-an-element-of O(mu,*)' are established in order that every T is-an-element-of O(mu,*)' such that S * T is-an-element-of H(mu) lie in H(mu).

引用

页码：398 / 406

页数：9