Related papers: Definability in Physics

This paper has been withdrawn by the author due to a crucial definition error of Triebel space.

This paper has been withdrawn by the author for further investigation.

This paper has been withdrawn for the reasons mentioned in the Comments.

This paper has been withdrawn by the authors pending corrections.

The article is withdrawn. Its content is contained in the final version of arXiv:0805.1634.

This paper has been retracted.

This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.

This paper has been withdrawn by the authors due to substantial changes.

This paper has been withdrawn to allow publication elsewhere.

This paper has been withdrawn by the authors.

This paper has been withdrawn by the authors, because of a crucial gap in the proof of the main theorem.

This article has been withdrawn by arXiv administrators because it plagiarises arXiv:1006.4556 (published in Phys. Lett. B 693, 129 (2010)).

This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.

%auto-ignore Paper has been withdrawn by the author.

This paper has been withdrawn, because I have merged it with paper I of the series, math.AG/0312190. The main results of this paper now appear in sections 7-9 of the revised version of math.AG/0312190, with shortened and improved proofs.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author due a few mistakes in the paper.

This paper has been withdrawn by the author due to serious flaws in certain proofs.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The paper is withdrawn due to an error in Section 2.

This paper has been withdrawn by the author due to a new work in [arXiv:0901.0456v4] which can contain the results in this paper.