Discrete Wave-front sets of Fourier Lebesgue and modulation space types
arXiv:0909.12376 citations
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This is a theoretical contribution for mathematicians working in time-frequency analysis and partial differential equations, but it is incremental as it extends existing concepts to discrete settings.
The paper introduces discrete wave-front sets for Fourier Lebesgue and modulation spaces and proves their equivalence to continuous-type wave-front sets, providing a new characterization in time-frequency analysis.
We introduce discrete wave-front sets with respect to Fourier Lebesgue and modulation spaces. We prove that these wave-front sets agree with corresponding wave-front sets of "continuous type".