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Exponential Analysis: Theoretical Progress and Technological Innovation (Dagstuhl Seminar 22221)

Authors Annie Cuyt, Wen-shin Lee, Gerlind Plonka-Hoch, Ferre Knaepkens and all authors of the abstracts in this report



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Author Details

Annie Cuyt
  • University of Antwerp, BE
Wen-shin Lee
  • University of Stirling, GB
Gerlind Plonka-Hoch
  • Universität Göttingen, DE
Ferre Knaepkens
  • University of Antwerp, BE
and all authors of the abstracts in this report

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Annie Cuyt, Wen-shin Lee, Gerlind Plonka-Hoch, and Ferre Knaepkens. Exponential Analysis: Theoretical Progress and Technological Innovation (Dagstuhl Seminar 22221). In Dagstuhl Reports, Volume 12, Issue 5, pp. 170-187, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/DagRep.12.5.170

Abstract

Multi-exponential analysis might sound remote, but it touches our daily lives in many surprising ways, even if most people are unaware of how important it is. For example, a substantial amount of effort in signal processing and time series analysis is essentially dedicated to the analysis of multi-exponential functions. Multi- exponential analysis is also fundamental to several research fields and application domains that have been the subject of this Dagstuhl seminar: remote sensing, antenna design, digital imaging, all impacting some major societal or industrial challenges such as energy, transportation, space research, health and telecommunications. This Seminar connected stakeholders from seemingly separately developed fields: computational harmonic analysis, numerical linear algebra, computer algebra, nonlinear approximation theory, digital signal processing and their applications, in one and more variables.

Subject Classification

ACM Subject Classification
  • Mathematics of computing → Computations on polynomials
  • Mathematics of computing → Interpolation
  • Mathematics of computing → Numerical analysis
Keywords
  • inverse problem
  • remote sensing
  • sparse interpolation
  • spectral analysis
  • structured matrices

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