Gabor pairs, and a discrete approach to wave-front sets |
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Authors: | Karoline Johansson Stevan Pilipovi? Nenad Teofanov and Joachim Toft |
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Abstract: | We introduce admissible lattices and Gabor pairs to define discrete versions of wave-front sets with respect to Fourier–Lebesgue
and modulation spaces. We prove that these wave-front sets agree with each other and with corresponding wave-front sets of
“continuous type”. This implies that the coefficients of a Gabor frame expansion of f are parameter dependent, and describe the wave-front set of f. |
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