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Titlebook: Advances in Gabor Analysis; Hans G. Feichtinger,Thomas Strohmer Book 2003 Springer Science+Business Media New York 2003 Potential.Signal.a

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Chemosensors of Ion and Molecule Recognition particular, we obtain a sufficient condition on the kernel of an integral operator or the symbol of a pseudodifferential operator which implies that the operator is trace-class. This result significantly improves a sufficient condition due to Daubechies and Hörmander.
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Solid State Supramolecular Optical Sensors,frame operator is acting in an infinite-dimensional Hilbert space we have to approximate its inverse by some finite-dimensional methods. In this chapter we review some methods for approximation of the inverse frame operator associated to general frames and develop more specific methods for Gabor frames.
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978-1-4612-6627-3Springer Science+Business Media New York 2003
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Applied and Numerical Harmonic Analysishttp://image.papertrans.cn/a/image/148104.jpg
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https://doi.org/10.1385/1592598897bor frame from two different points of view. We first identify two classes of non-negative windows . ∈ ..(ℝ) such that their Zak transforms have no and just one zero per unit square, respectively. The first class consists of all integrable, non-negative windows. that are supported by and strictly de
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Giovanni L. Beretta,Paola Peregod by going from the signal domain to some transform domain, and applying a pointwise multiplication operator before resynthesis. Although such operators have been in use implicitly for quite some time, this paper appears to be the first systematic mathematical treatment of Gabor multipliers. Indeed,
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https://doi.org/10.1385/1592598897analysis. We present some connections between these algebras and Gabor frames, and use them to derive some well-known results and their generalizations such as the density property in Gabor analysis, as well as some new ones such as a characterization of the Gabor frames (for subspaces) admitting un
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