On the Mittag Leffler Bargmann (MLB) transform

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2023

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2023.127458