Vector-valued Fourier transform and Fourier series

  • Tobias Nau


We start this chapter by stating the main definitions and results on the vectorvalued Fourier transform as presented e.g. in [Ama95] and [ABHN01]. For a comprehensive introduction to the topic we refer to the mentioned monographs and the references therein. Later on, we establish the according results for vector-valued Fourier series.


Fourier Transform Fourier Series Representation Theorem Trigonometric Polynomial Leibniz Rule 


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Copyright information

© Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden 2012

Authors and Affiliations

  • Tobias Nau
    • 1
  1. 1.KonstanzGermany

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