Name: The Bloch Transform on Lp-Spaces
Creator: Barth, Bernhard
Keywords: ddc:510, 530, Mathematics, info:eu-repo/classification/ddc/510, 510

descriptionPublicationkeyboard_double_arrow_right Doctoral thesis , Other literature type 01 Jan 2013 English Publisher:Karlsruhe

Authors: Barth, Bernhard;

doi: 10.5445/ir/1000037692

The Bloch Transform on Lp-Spaces

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Abstract

We investigate the Bloch Transform on Bochner Lebesgue Spaces. A decomposition in terms of vector valued Fourier Series leads to the study of translation invariant operators on sequence spaces. These operators act like multiplication operators. We proof multiplier theorems for the Bloch Transform, which are used to derive the band gap structure of the spectrum for general periodic operators. The results are applied to partial differential operators.

Related Organizations

Karlsruhe Institute of Technology
Germany

Keywords

ddc:510, 530, Mathematics, info:eu-repo/classification/ddc/510, 510

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