Microlocal and Time-Frequency Analysis

Dear Colleagues,

The focus of this Special Issue of Mathematics lies in two fascinating areas of modern mathematics with a broad spectrum of applications ranging from theoretical physics to signal processing, namely, microlocal and time-frequency analysis. The fruitful interaction between the two disciplines is witnessed by the vast body of literature published in recent decades. It is worth mentioning the following problems among several ones which have benefited from this joint perspective, without any claim of being exhaustive: properties of quantization rules, pseudodifferential and Fourier integral operators; algebras of sparse operators in phase space; well-posedness of nonlinear dispersive PDEs and representation of their solutions; wave front sets and propagation of singularities.

In order to further explore these research trends, we solicit original, high-quality papers on microlocal and time-frequency analysis and their applications. Contributions on related topics, including for instance mathematical signal processing, harmonic analysis, and mathematical physics are welcome as well, provided that they mainly focus on aspects of or connections with microlocal and Gabor analysis. We also invite expository and review papers by senior researchers aimed at elucidating finer points or highlighting techniques of broad interest.

The contributions may be submitted on a continuous basis before the deadline and will be selected, after a peer-review process by leading experts, in view of both their quality and relevance.

Prof. Dr. Elena Cordero
Dr. S. Ivan Trapasso
Guest Editors

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