Special Issue "Time-Frequency Analysis, Distributions, and Operators"
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (22 November 2022) | Viewed by 6121
Interests: time-frequency analysis; harmonic analysis; generalized functions; modulation spaces; pseudodifferential operators; microlocal analysis
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
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- Test function spaces and spaces of distributions
- Function spaces of harmonic analysis
- Time–frequency analysis
- Gabor and wavelet analysis
- Pseudo-differential and fourier integral operators
- Microlocal analysis and wave-front sets