论文标题

在谎言组上的左翻译下的外部不变空间的特征

Characterizations of Extra-invariant spaces under the left translations on a Lie group

论文作者

Sarkar, Sudipta, Shukla, Niraj K.

论文摘要

在连接的,简单地连接的nilpotent Lie group的上下文中,其表示为正方形的模型中心,我们发现与范围函数相关的左翻译下的外部不变空间的表征结果。因此,该理论对Heisenberg Group $ \ Mathbb H^d $是一个2步nilpotent Lie Group有效。

In the context of a connected, simply connected, nilpotent Lie group, whose representations are square-integrable modulo the center, we find characterization results of extra-invariant spaces under the left translations associated with the range functions. Consequently, the theory is valid for the Heisenberg group $\mathbb H^d$, a 2-step nilpotent Lie group.

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