Special Issue "Microlocal and Time-Frequency Analysis"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 31 March 2021.

Special Issue Editors

Prof. Dr. Elena Cordero
Website
Guest Editor
Dipartimento di Matematica “G. Peano,”, Università degli Studi di Torino. Via Carlo Alberto 10, 10123, Torino, Italy.
Interests: time-frequency analysis, harmonic analysis, evolution equations, Gabor matrix representations of operators, modulation and Wiener amalgam spaces, signal analysis
Dr. S. Ivan Trapasso
Website
Guest Editor
Dipartimento di Scienze Matematiche “G. L. Lagrange,”, Politecnico di Torino. Corso Duca degli Abruzzi 24, 10129, Torino, Italy.
Interests: time-frequency analysis, microlocal and semiclassical analysis; applications to mathematical physics and partial differential equations

Special Issue Information

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

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 papers will be 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. Mathematics 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 1200 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.

Keywords

  • Microlocal analysis
  • Time-frequency analysis
  • Harmonic analysis
  • Partial differential equations
  • Pseudodifferential and Fourier integral operators
  • Localization operators
  • Symplectic methods in harmonic analysis
  • Propagation of singularities
  • Semiclassical analysis
  • Function spaces of harmonic analysis
  • Frames
  • Wavelets
  • Group theory
  • Wave front sets
  • Signal analysis
  • Reproducing formulae

Published Papers

This special issue is now open for submission.
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