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  • 1
    Electronic Resource
    Electronic Resource
    On the phase retrieval problem in two dimensions (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2141-2160 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The paper contains a discussion of the phase retrieval problem in two dimensions and proposes criteria to select those resolutions of the discrete ambiguity of the zero trajectories which are compatible with the analyticity in two variables of the scattered field.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526837
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the stable analytic continuation with a condition of uniform boundedness (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 2657-2686 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: It is shown that, if h(x) is any continuous function defined on some interval [−a,b]⊆(−1,1) of the real axis, then, in general, its best L2 approximant, in the class of functions holomorphic and bounded by unity in the unit disk of the complex plane, is a finite Blaschke product. An upper bound is placed on the number of factors of the latter and a method for its construction is given. The paper contains a discussion of the use of these results in performing a stable analytic continuation of a set of data points under a condition of uniform boundedness, as well as some numerical examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527285
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  • 3
    Electronic Resource
    Electronic Resource
    Zero trajectories of invariant πN amplitudes. I (1980)
    Springer
    The European physical journal 4 (1980), S. 333-344 
    Details
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Zero trajectories of invariant πN amplitudes have been calculated from the results of the recent phase shift analyses of the Karlsruhe-Helsinki and CMU-LBL groups. It is remarkable that the zero patterns of all invariant amplitudesA, B (for elastic π± p scattering and also for the isospin even and odd combinations) are similar to each other. This is unexpected from dual models, in particular sinceB + contains the effects of diffraction. There are qualitative discrepancies with the zero pattern of Odorico's Linear Zero Model. The good agreement between the results derived from the two phase shift analyses indicates that the ambiguities have been resolved in the same way. The continuation of the trajectories to unphysical regions and several applications will be treated in the second part of this paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01421575
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Can one detect zeroes of the pion form factor? (1976)
    Springer
    The European physical journal 277 (1976), S. 211-215 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We discuss the question of zeroes of the pion form factor by a method which allows us to “quantify” the unavoidable assumptions concerning the high energy behaviour. The conclusion is that all the present data are consistent with the absence of zeroes inside the cutt-plane. If zeroes do exist, then they are excluded from certain regions around the data, whose boundaries are given in the text. (E.g. zeroes on the negative realt-axis are confined to the left of t0= −6.5 (GeV/c)2.)
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01433715
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    Paper (German National Licenses)
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