Vector-valued Fourier transform and Fourier series

Tobias Nau

Chapter 2 in Lp-Theory of Cylindrical Boundary Value Problems, 2012, pp 9-23 from Springer

Abstract: Abstract 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.

Keywords: Fourier Transform; Fourier Series; Representation Theorem; Trigonometric Polynomial; Leibniz Rule (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-8348-2505-6_2

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