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The paper has been withdrawn due to a crucial error in section 3.

This paper has been withdrawn by the author becouse the conjecture presented in this paper is false. The correct study of metrics in interpolation spaces for and applcation to nonharmonic Fourier series will be published in S.Petersburg…

This paper has been withdrawn by the authors because the paper is largely revised and improved, and to appear in Mechanics Research Communications.

This paper has been withdrawn by the author due to a crucial error in equation.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author.

This paper has been withdrawn due to disagreement of suggested results and methods between authors.

This paper has been withdrawn.

This paper is withdrawn.

This paper has been withdrawn.

This paper has been withdrawn. The contents of this paper can now be found in 0907.3000, which combines the erstwhile 0901.2981 and 0901.2982 in a somewhat compact form.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn by the author.

This paper has been withdrawn by the authors, as it was combined with "Conformally invariant energies of knots I" (math/0409396) to be "Conformally invariant energies of knots" which has replaced the former.

This paper has been superseded by math.NT/0205008

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to a crucial error in several equations.

This paper has been withdrawn.

This paper has been withdrawn by the author. The conjecture follows from the finiteness of group von Neumann algebras.

I also submitted this paper as math.GR/0112109... it is therefore withdrawn from math.GR/0104076