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This paper has been withdrawn by the authors due to a possible inconsistency in the program code.

Statistical Mechanics · Physics 2008-11-05 L. A. S. Mól , B. V. Costa

This paper has been withdrawn, as it is superseded by arXiv:0806.2122 (Bloch-Kato exponential maps for local fields with imperfect residue fields), which is a more recent version of the same paper.

Number Theory · Mathematics 2010-05-06 Sarah Livia Zerbes

This paper has been withdrawn by the author.

Materials Science · Physics 2009-11-13 J. H. Wei , Y. L. Gao , X. R. Wang

The paper has been withdraw by authors

Quantum Physics · Physics 2007-05-23 Hongchen Fu , Yinqi Feng , A. I. Solomon

When approximating a function that depends on a parameter, one encounters many practical examples where linear interpolation or linear approximation with respect to the parameters prove ineffective. This is particularly true for responses…

Numerical Analysis · Mathematics 2018-12-27 Donsub Rim , Kyle T. Mandli

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

Classical Analysis and ODEs · Mathematics 2007-06-26 Mark Losik , Peter W. Michor , Armin Rainer

This paper has been withdrawn.

Operator Algebras · Mathematics 2011-12-07 Nathanial P. Brown , Valerio Capraro

This paper has been withdrawn by the author.

Computation and Language · Computer Science 2015-03-14 Juan-Manuel Torres Moreno , Silvia Fernandez , Eric SanJuan

We employ functional analysis techniques in order to deduce that some classical and recent interpolation results in Fourier analysis can be suitably perturbed. As an application of our techniques, we obtain generalizations of Kadec's…

Classical Analysis and ODEs · Mathematics 2023-12-20 João P. G. Ramos , Mateus Sousa

We withdraw the paper because the results are wrong.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ye Xiong , X. C. Xie

This article was withdrawn by the author to be incorporated into the paper "Extens\~ao de aplica\c{c}\~oes na esfera de um espa\c{c}o vetorial com produto interno" (arXiv:1109.2866).

Differential Geometry · Mathematics 2011-09-19 J. Edson Sampaio

This paper has been withdrawn by the author. Improved versions (arXiv:1109.5548 and arXiv:0708.4190) are accepted.

Geometric Topology · Mathematics 2011-09-28 Hajime Fujita

We study in this paper the function approximation error of linear interpolation and extrapolation. Several upper bounds are presented along with the conditions under which they are sharp. All results are under the assumptions that the…

Numerical Analysis · Mathematics 2022-09-27 Liyuan Cao , Zaiwen Wen , Ya-xiang Yuan

The authors have decided to withdraw this submission. Clarifications/corrections, if any, may follow at a later date.

Computer Science and Game Theory · Computer Science 2010-10-26 Noah D. Stein , Pablo A. Parrilo , Asuman Ozdaglar

In this paper we obtain a multivariable commutator lifting inequality, which extends to several variables a recent result of Foias, Frazho, and Kaashoek. The inequality yields a multivariable lifting theorem generalizing the noncommutative…

Functional Analysis · Mathematics 2007-05-23 Gelu Popescu

This paper has been withdrawn by the author.

General Relativity and Quantum Cosmology · Physics 2010-05-19 Ping Xi , Xi-Chen Ao , Xin-Zhou Li

In his approach to Jones theorem on the interpolation of Hardy spaces on the torus, Pisier introduced an original method allowing the computation of complex interpolation spaces by means of real interpolation techniques. This approach has…

Functional Analysis · Mathematics 2026-03-18 Hugues Moyart

This paper has been withdrawn by Wenji Deng (e-mail: [email protected]) for further modification at Oct. 12, 1998. {PACS: 03.75.Fi, 05.30.Jp.64.60.-i, 32.80.Pj}

Condensed Matter · Physics 2008-02-03 Wenji Deng , P. M. Hui

This paper has been withdrawn due to a critical error discovered in Theorem 4.21. Anyone with a historical or pragamatic interest in prior "negative results", however - e.g., failed proof attempts relating to the (in)consistency of ZF or…

Logic · Mathematics 2007-05-23 Bryan Ford

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

Analysis of PDEs · Mathematics 2007-05-23 Dongho Chae
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