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  • 1985-1989  (3)
  • Harmonic analysis  (2)
  • Matrix synthesis  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Extended harmonic analysis of phase space representations for the Galilei group (1986)
    Springer
    Acta applicandae mathematicae 6 (1986), S. 19-45 
    Details
    ISSN: 1572-9036
    Keywords: 20C35 ; 81G20 ; Harmonic analysis ; stochastic quantum mechanics ; systems of covariance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The spectral resolution of phase space representations of the Galilei group is achieved by deriving all possible decompositions into irreducible representations corresponding to reproducing kernel Hilbert spaces. Spectral syntheses in terms of eigenfunction expansions, as well as in terms of continuous resolutions of the identity, are achieved. For the latter, the existence, uniqueness and other basic properties of resolution generators are established. This is shown to lead to systems of covariance related to measurements of stochastic phase space values performed with extended quantum test particles, whose proper wavefunctions are the aforementioned resolution generators.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00046933
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Harmonic analysis and systems of covariance for phase space representation of the poincaré group (1986)
    Springer
    Acta applicandae mathematicae 6 (1986), S. 47-62 
    Details
    ISSN: 1572-9036
    Keywords: 81M05 ; 83A05 ; Harmonic analysis ; POV measures ; relativistic stochastic phase space
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Continuing some earlier work on the Galilei group, the spectral resolution of phase space representations of the Poincaré group is achieved by deriving all possible decompositions into irreducible representations corresponding to reproducing, kernel Hilbert spaces. Systems of covariance related to quantum measurements performed with extended test particles are analyzed, and questions of global unitarity discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00046934
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Separation of rabbit epiphyseal chondrocytes in various stages of differentiation (1988)
    Springer
    Cell & tissue research 254 (1988), S. 393-398 
    Details
    ISSN: 1432-0878
    Keywords: Epiphyseal chondrocytes ; Differentiation ; Cell separation ; Cell culture ; Matrix synthesis ; Rabbit
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary Separation of fractions enriched in hypertrophic cells and proliferative cells has been achieved by density gradient centrifugation of cells from collagenase digests of rabbit epiphyseal cartilage. Concentrated suspensions of cells are centrifuged on a continuous Percoll density gradient. Hypertrophic cells remain in the upper part of the gradient and proliferative zone cells move to the lower regions. The resultant fractions show differences in mean cell diameter, alkaline phosphatase activity, morphology and synthetic activity in culture. Fractions rich in hypertrophic cells contain larger cells and more alkaline phosphatase activity than those enriched in proliferative cells. In culture the hypertrophic cells flatten as large irregular polygonal cells, whereas proliferative fractions form smaller spindle-shaped cells. In micromass culture hypertrophic fractions incorporate less 35S-sulphate and 14C-proline, and less tritiated thymidine than do proliferative fractions. These results suggest a general reduction in matrix and DNA synthesis with the attainment of the fully differentiated hypertrophic state, coincident with the expression of alkaline phosphatase activity and mineralisation of the cartilage matrix.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00225811
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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