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arXiv · 1904.00505

Limiting absorption principle on $L^p$-spaces and scattering theory

Kouichi Taira
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Abstract

In this paper, we study the mapping property form $L^p$ to $L^q$ of the resolvent of the Fourier multiplier operators and scattering theory of generalized Schr\"odinger operators. Though the first half of the subject is studied in [4], we extend their result to away from the duality line and we also study the H\"older continuity of the resolvent.

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Kouichi Taira. 2019-03-31. Limiting absorption principle on $L^p$-spaces and scattering theory. https://doi.org/10.1063/5.0011805

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