논문KCI 등재
Frame Operators and Semi-frame Operators of Finite Gabor Frames
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A characterisation of frame operators of finite Gabor frames is presented here. Regularity aspects of Gabor frames in l^2(Z_N) are discussed by introducing associated semi-frame operators. Gabor type frames in finite dimensional Hilbert spaces are also introduced and discussed.
Abstract
A characterisation of frame operators of finite Gabor frames is presented here. Regularity aspects of Gabor frames in l^2(Z_N) are discussed by introducing associated semi-frame operators. Gabor type frames in finite dimensional Hilbert spaces are also introduced and discussed.
참고문헌 (16)
- Z. Amiri, "Bessel subfusion sequences and subfusion frames", Iran. J. Math. Sci. Inform, 8, pp.31~38 (2013)
- P.G. Cazassa, "Frames of subspaces, wavelets, frames and operator theory", American Mathematical Society, 345, pp.87~113 (2004), Contemporary Mathematics Publishers
- P.G. Cazassa, "Applied and Numerical Harmonic Analysis Series" (2013), Birkhauser
- O. Christensen, "An Introduction to Frames and Riesz Bases" (2016), Birkhauser
- O. Christensen, "Oblique dual frames and shift-invariant spaces", Appl. Comput. Harmon. Anal, 17, pp.48~68 (2004)
- I. Daubechies, "Painless nonorthogonal expansions", J. Math. Phys, 27, pp.1271~1283 (1986)
- R.J. Duffin, "A class of non-harmonic Fourier series", Trans. Amer. Math. Soc, 72, pp.341~366 (1952)
- T.C. Easwaran Nambudiri, "Generalised Weyl-Heisenberg frame operators", Bull. Sci. Math, 136, pp.44~53 (2012)
- T.C. Easwaran Nambudiri, "Characterization of Weyl-Heisenberg frame operators", Bull. Sci. Math, 137, pp.322~324 (2013)
- D. Gabor, "Theory of communication", Journal of Institution of Electrical Engineers, 93, pp.429~457 (1946)
- K. Grochenig, "Foundations of Time Frequency Analysis" (2001), Birkhauser
- M. Janssen, "Gabor representation of generalized functions", J. Math. Anal. Appl, 83, pp.377~394 (1981)
- J. Laurence, "Linear independence of Gabor systems in nite dimensional vector spaces", J. Fourier Anal. Appl, 11, pp.715~726 (2005)
- S. Li, "Pseudoframes for subspaces with applications", J. Fourier Anal. Appl, 10, pp.409~431 (2004)
- R. D. Malikiosis, "A note on Gabor frames in nite dimensions", Appl. Comp. Harmonic Anal, 38, pp.318~330 (2015)
- G.E. Pfander, "Gabor frames in nite dimensions" (2010), Birkhauser
관련 논문AI추천
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