Generalized uncertainty principles associated with the quaternionic offset linear canonical transform

نویسندگان

چکیده

The quaternionic offset linear canonical transform (QOLCT) can be defined as a generalization of the (QLCT). In this paper, we define QOLCT, derive relationship between QOLCT and quaternion Fourier (QFT). Based on fact, prove Rayleigh formula some properties related to QOLCT. Then, generalize different uncertainty principles (UPs), including Heisenberg-Weyl's UP, Hardy's Beurling's logarithmic UP domain.

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ژورنال

عنوان ژورنال: Complex Variables and Elliptic Equations

سال: 2021

ISSN: ['1747-6941', '1747-6933']

DOI: https://doi.org/10.1080/17476933.2021.1916919