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http://dx.doi.org/10.11568/kjm.2020.28.4.877

GABOR FRAMES IN 𝑙2(ℤ) FROM GABOR FRAMES IN L2(ℝ)  

Thomas, Jineesh (Research department of Mathematics St.Thomas College Palai)
Madhavan Namboothiri, NM (Department of Mathematics Government College Kottayam)
Varghese, Eldo (Research department of Mathematics St.Thomas College Palai)
Publication Information
Korean Journal of Mathematics / v.28, no.4, 2020 , pp. 877-888 More about this Journal
Abstract
In this paper we discuss about the image of Gabor frame under a unitary operator and derive a sufficient condition under which a unitary operator from L2(ℝ) to 𝑙2(ℤ) maps Gabor frame in L2(ℝ) to a Gabor frame in 𝑙2(ℤ).
Keywords
Gabor frame; orthonormal basis; unitary operator; window sequence;
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