Related papers: The L^p-continuity of the wave operators for the t…

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This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

The paper was withdrawn by the author. Further research is needed.

This paper has been withdrawn due to an error in section 3.

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This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.

This paper has been withdrawn by the author due to incomplete interpretation for the results.

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This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

This paper has been withdrawn by the author due to a crucial error in equation (51).

This paper is being withdrawn as its main results are already included in section 2 of the paper hep-lat/9901006.

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.

This paper has been withdrawn by the authors due to some fatal errors in the analysis.

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This paper is withdrawn because of an error in Lemma 3.1

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We consider fractional Schr\"odinger operators $H=(-\Delta)^\alpha+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>2\alpha$, $\alpha>1$. We show that the wave operators extend to bounded operators on $L^p(\mathbb R^n)$ for…

This paper has been withdrawn by the authors due to several major changes in concepts and results. New version will follow briefly as a new e-print.