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The Representation Theorem for Linear, Isotropic Tensor Functions in Even Dimensions

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Abstract

In this note we give a proof of the representation theorem for linear, isotropic, tensor functions, which only assumes invariance under proper orthogonal tensors.

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Authors and Affiliations

  1. Department of Mathematics, Southern Illinois University, Carbondale, IL, 62901-4408, U.S.A. E-mail

    Kathleen A. Pericak-Spector, Jeyabal Sivaloganathan & Scott J. Spector

Authors
  1. Kathleen A. Pericak-Spector
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  2. Jeyabal Sivaloganathan
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  3. Scott J. Spector
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Pericak-Spector, K.A., Sivaloganathan, J. & Spector, S.J. The Representation Theorem for Linear, Isotropic Tensor Functions in Even Dimensions. Journal of Elasticity 57, 157–164 (1999). https://doi.org/10.1023/A:1007600811936

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  • DOI: https://doi.org/10.1023/A:1007600811936

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