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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 $L^2 (\mathbb R)$ to $l^2 (\mathbb Z)$ maps Gabor frame in $L^2 (\mathbb R)$ to a Gabor frame in $l^2 (\mathbb Z)$.
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참고문헌 (16)
참고문헌 신청
Z. Amiri / 2013 / Bessel subfusion sequences and subfusion frames / Iran. J. Math. Sci. Inform 8(1):31~38
P. G. Cazassa / 2004 / Frames of subspaces. Wavelets, frames and operator theory / Contemp. Math 345:87~113
P. G. Cazassa / 2013 / Finite Frames Theory and Applications, Applied and Numerical Harmonic Analysis series
O. Christensen / 2016 / An Introduction to Frames and Riesz Bases / Birkhauser
O. Christensen / 2004 / Oblique dual frames and shift-invariant spaces / Appl. Comput. Harmon. Anal 17:48~68
P. G. Cazassa / 2004 / Frames of subspaces. Wavelets, frames and operator theory / Contemp. Math 345:87~113
P. G. Cazassa / 2013 / Finite Frames Theory and Applications, Applied and Numerical Harmonic Analysis series
O. Christensen / 2016 / An Introduction to Frames and Riesz Bases / Birkhauser
O. Christensen / 2004 / Oblique dual frames and shift-invariant spaces / Appl. Comput. Harmon. Anal 17:48~68
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