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  • 1
    Electronic Resource
    Electronic Resource
    Small perturbations of canonical systems (2000)
    Springer
    Integral equations and operator theory 38 (2000), S. 222-250 
    Details
    ISSN: 1420-8989
    Keywords: Primary 34A55 ; 47E05 ; Secondary 34B20 ; 34L05 ; 47B25
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider a singular two-dimensional canonical systemJy′=−zHy on [0, ∞) such that at ∞ Weyl's limit point case holds. HereH is a measurable, real and nonnegative definite matrix function, called Hamiltonian. From results of L. de Branges it follows that the correspondence between canonical systems and their Titchmarsh-Weyl coefficients is a bijection between the class of all Hamiltonians with trH=1 and the class of Nevanlinna functions. In this note we show how the HamiltonianH of a canonical system changes if its Titchmarsh-Weyl coefficient or the corresponding spectral measure undergoes certain small perturbations. This generalizes results of H. Dym and N. Kravitsky for so-called vibrating strings, in particular a generalization of a construction principle of I.M. Gelfand and B.M. Levitan can be shown.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01200125
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  • 2
    Electronic Resource
    Electronic Resource
    Circular harmonic averaging of rotary-shadowed and negatively stained creatine kinase macromolecules (1991)
    New York, NY : Wiley-Blackwell
    Journal of Electron Microscopy Technique 18 (1991), S. 135-141 
    Details
    ISSN: 0741-0581
    Keywords: High resolution shadowing ; Freeze-drying ; Mitochondrial creatine kinase ; Single molecule averaging ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Natural Sciences in General
    Notes: The structure of mitochondrial creatine kinase is investigated by high-resolution shadowing at very low temperature and conventional negative staining. The electron microscopic images are analyzed with circular harmonic averaging, a method suited for the processing of single molecules. The rotational alignment and averaging is performed with the circular harmonic components, which allows data compression and several steps of noise reduction to be carried out within the averaging procedure. In addition, the symmetry can be deduced. For the mitochondrial creatine kinase, a fourfold symmetry is found that is compatible with the biochemical and biophysical characterization of the molecule.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/jemt.1060180207
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    Paper (German National Licenses)
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