Integral Transforms and Special Functions ( IF 0.7 ) Pub Date : 2020-09-01 , DOI: 10.1080/10652469.2020.1813128 Cristian Arteaga 1 , Isabel Marrero 1
ABSTRACT
Hankel- spaces, as introduced by the second-named author, play the same role in the theory of the Hankel transformation as the Gelfand-Shilov spaces in the theory of the Fourier transformation. For , under suitable restrictions on the weights , the topology of a Hankel- space E can be generated by norms of -type involving the Bessel operator . In this paper, adapting a technique due to Kamiński, the elements of the dual space are represented as -distributional derivatives of a single continuous function. Corresponding characterizations of boundedness and convergence in (the weak, weak*, strong topologies of) are obtained.
中文翻译:
Hankel-K {Mp}空间对偶中的结构,有界性和收敛性
摘要
汉高 正如第二名作者所介绍的那样,空间在汉克尔变换理论中扮演的角色与杰芬德·希洛夫(Gelfand-Shilov)相同。 傅立叶变换理论中的空间。为了,在适当的重量限制下 ,汉克尔的拓扑结构可以通过以下范数来生成空间E-类型 涉及贝塞尔算子 。在本文中,由于双重空间的元素Kamiński而采用了一种技术 表示为 -单个连续函数的分布导数。(的弱,弱*,强拓扑)中有界和收敛的相应特征 获得。