Time-Frequency Analysis, Distributions, and Operators

Dear Colleagues,

This Special Issue aims to promote the potential arising from connections between time–frequency analysis, operators, and distributions. Theory of test function spaces and their dual spaces of distributions offers a solid theoretical background for the wide range of research topics related to diverse applications. In particular, it is useful when decay or growth conditions are considered in combination with regularity properties of the considered objects. In the last two decades, tools from time–frequency analysis have offered a new perspective on these classical issues. Apart from new insights into classical theory, the new methodology has found applications ranging from physics and engineering to harmonic analysis and partial differential equations in mathematical sciences. Emerging from explorations in signal analysis, quantum mechanics and (abstract) harmonic analysis, time–frequency analysis has evolved into a fascinating discipline with strong indicators that new methods in its theory and applications will be introduced and developed in the future. 

This perspective of using time–frequency analysis in operator theory and in the background of distribution spaces has turned out to be successful in different contexts, e.g., approximate diagonalization of operators, resolution of wave-front sets, well-posedness of nonlinear Schrödinger equations, and sparse representations by frame expansions.  

Researchers working in this interdisciplinary field are welcome to submit their original research results as well as expository and review papers. Potential topics include harmonic analysis, function spaces, pseudodifferential and Fourier integral operators, wave-front sets, frame theory, time–frequency representations, and their applications, provided that the aspects and connections with time–frequency analysis, operators, and distributions are emphasized. 

Contributions may be submitted on a continuous basis before the deadline. After a peer-review process, submissions will be selected for publication based on their quality and relevance.

Dr. Nenad Teofanov
Prof. Dr. Filip Tomić
Guest Editors

Manuscript Submission Information

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