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Density,Overcompleteness,and Localization of Frames.I.Theory
Density excess frames Gabor systems modulation spaces overcompleteness Riesz bases wavelets Weyl–Heisenberg systems
2015/9/29
Frames have applications in numerous fields of mathematics and engineering.The fundamental property of frames which makes them so useful is their overcompleteness.In most applications, it is this over...
Density, Overcompleteness,and Localization of Frames.II.Gabor Systems
Density excess frames Gabor systems modulation spaces overcompleteness Riesz bases wavelets Weyl–Heisenberg systems
2015/9/29
This work develops a quantitative framework for describing the overcompleteness of a large class of frames. A previous article introduced notions of localization and approximation between two frames F...