Journal of Mathematical Chemistry

, Volume 22, Issue 1, pp 1–10 | Cite as

On the class of attainable multidimensional NMR spectra

  • Raimund J. Ober
  • E. Sally Ward


It is shown that a large class of two‐dimensional NMR spectra is characterized by a matrix algebra and an invariant subspace. Both the matrix algebra and the invariant subspace are determined by the system matrices of the bilinear system which describes the NMR experiments.


Invariant Subspace Matrix Algebra Bilinear System Texas Southwestern Medical Preparation Period 
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  1. [1]
    J. Cavanagh, W. Fairbrother, A. Palmer and N. Skelton, Protein NMR Spectroscopy: Principles and Practice(Academic Press, 1996).Google Scholar
  2. [2]
    R. Ernst, G. Bodenhausen and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions(Oxford University Press, 1987).Google Scholar
  3. [3]
    I. Herstein, Topics in Algebra(Wiley, 1975).Google Scholar
  4. [4]
    R.J. Ober and E.S. Ward, A system theoretic formulation of NMR experiments, J. Math. Chem. 20 (1996) 47–65.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • Raimund J. Ober
    • 1
  • E. Sally Ward
    • 2
  1. 1.Center for Engineering Mathematics EC35University of Texas at DallasRichardsonUSA
  2. 2.Cancer Immunobiology Center and Department of MicrobiologyUniversity of Texas Southwestern Medical CenterDallasUSA

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