On Gabor g-frames and Fourier series of operators

نویسندگان

چکیده

We show that Hilbert–Schmidt operators can be used to define frame-like structures for $L^2(\mathbb{R}^d )$ over lattices in $\mathbb{R}^{2d} $ include multi-window Gabor frames as a special case. These are called g-frames

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ژورنال

عنوان ژورنال: Studia Mathematica

سال: 2021

ISSN: ['0039-3223', '1730-6337']

DOI: https://doi.org/10.4064/sm191115-24-9