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This paper has been withdrawn by the author, since most of the results have been published before.

This paper was withdrawn by the author.

This paper has been withdrawn by the author due to its publication

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

We would like to withdraw this article for the following reasons: 1 this article is not satisfactory for limited language and theoretical description; 2 we have enriched and revised this article with the help of other authors; 3 we must…

This paper is withdrawn.

This is a technical appendix to "Adaptive estimation of stationary Gaussian fields". We present several proofs that have been skipped in the main paper.

This paper has been withdrawn by the author, due a crucial error in the main idea.

This paper has been withdrawn by the author(s), due to double submission. You can find it under: physics/0208019

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to pending experimental investigation to avoid certain potential experimental uncertainty.

This paper has been withdrawn by the author due to a crucial sign error.

The paper has been withdrawn.

This paper has been withdrawn by the authors, due a gap in the proof of the main Theorem.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author(s), due a crucial i-number error in Eqn. 18.