Titlebook: Lp-Theory of Cylindrical Boundary Value Problems; An Operator-Valued F Tobias Nau Book 2012 Springer Spektrum | Springer Fachmedien Wiesbad

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https://doi.org/10.1007/978-3-8348-2505-6Dirichlet-Neumann boundary conditions for the Laplacian; Fourier transform and Fourier series; Maximal

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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.

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OATH

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s and operator theory. In particular, the author uses concepts from Fourier analysis of functions with values in Banach spaces and the operator-valued functional calculus of sectorial operators. He applies abstract results to concrete problems in cylindrical space domains such as the heat equation s

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