Gabor pairs,and a discrete approach to wave-front sets |
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| Authors: | Karoline Johansson Stevan Pilipović Nenad Teofanov Joachim Toft |
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| Institution: | 1.Department of Computer Science, Physics and Mathematics,Linn?us University,V?xj?,Sweden;2.Department of Mathematics and Informatics,University of Novi Sad,Novi Sad,Serbia |
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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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