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Time-Frequency Analysis (Lecture Notes)

Functional Analysis 2022-04-05 v1 Mathematical Physics Classical Analysis and ODEs math.MP Symplectic Geometry

Abstract

These lecture notes accompanied the course Time-Frequency Analysis given at the Faculty of Mathematics of the University of Vienna in the summer term 2021. The material is suitable for an advanced undergraduate course in mathematics or a mathematics class for PhD students. Besides standard linear algebra and calculus only some basics from functional analysis are needed. A course in Fourier analysis may be of advantage, but is not needed. The course contained 4 academic units per week. The appendices and Section 11 were not presented in class.

Keywords

Cite

@article{arxiv.2204.01596,
  title  = {Time-Frequency Analysis (Lecture Notes)},
  author = {Markus Faulhuber},
  journal= {arXiv preprint arXiv:2204.01596},
  year   = {2022}
}

Comments

Lecture Notes, 149 pages, 11 figures