Universal functions for taylor shifts

Universal functions for taylor shifts
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泰勒平移的通用函数

DOI:
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发表时间:
1996
期刊:
影响因子:
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通讯作者:
L. Bernal
L. Bernal
中科院分区:
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文献类型:
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作者:
L. Bernal

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本文介绍了一类新的算子——泰勒移位算子。它们表现为单位圆盘上整个函数空间和全纯函数空间上加权后移的推广。研究了一类算子序列的泛函数存在的充分必要条件。一些早期的结果是作为结果推导出来的。
In this paper a new sort of operators, the Taylor shifts is introduced. They appear as a generalization of weighted backward shifts on the spaces of entire functions and of holomorphic functions in the unit disk. Necessary and sufficient conditions for the existence of universal functions with respect to a sequence of such operators are investigated. Several earlier results are derived as consequences.