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• W3165663967 abstract "In this paper Gabor system of certain type based on the unitary dual of the Heisenberg group $mathbb{H}^n$ is introduced and a sufficient condition is obtained for the Gabor system to be a Bessel sequence for $L^2(mathbb{R}^*,mathcal{B}_2;dkappa)$ using the $Schrodinger$ representation of $mathbb{H}^n$, where $mathcal{B}_2$ denotes the class of Hilbert-Schmidt operators on $L^2(mathbb{R}^n)$ and $dkappa$ denotes the Haar measure on $mathbb{R}^*$. Further a necessary and sufficient condition is provided for the Gabor system to be an orthonormal system, a Parseval frame sequence, a frame sequence and a Riesz sequence." @default.
• W3165663967 created "2021-06-07" @default.
• W3165663967 creator A5049405935 @default.
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• W3165663967 date "2021-05-27" @default.
• W3165663967 modified "2023-09-26" @default.
• W3165663967 title "Gabor System Based on the Unitary Dual of the Heisenberg Group" @default.
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• W3165663967 hasPublicationYear "2021" @default.
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