Vector-valued Fourier transform and Fourier series
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.
KeywordsFourier Transform Fourier Series Representation Theorem Trigonometric Polynomial Leibniz Rule
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