论文标题

在Mittag Leffler Bargmann(MLB)变换上

On the Mittag Leffler Bargmann (MLB) transform

论文作者

Alpay, Natanael, Diki, Kamal

论文摘要

我们介绍了与Mittag Leffler Fock空间相关的Segal-Bargmann变换,并研究了它将如何连接到傅立叶变换。我们还将使用Caputo和Liouville操作员在此设置中讨论创建和歼灭操作员的对应物。最后,我们将这些结果扩展到四季度的情况,尤其是在切片的超晶体环境中。

We introduce the Segal-Bargmann transform associated to the Mittag Leffler Fock space and study how it will be connected to the Fourier transform. We will discuss also the counterpart of the creation and annihilation operator in this setting using the Caputo and Liouville operators. Finally, we give an extension of these results to the case of quaternions, in particular in the slice hyperholomorphic setting.

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