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Some remarks on Newton–Sabatier methods
Author(s) -
Carroll Robert,
Delic George,
Gilbert R. P.
Publication year - 1989
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670110103
Subject(s) - mathematics , inverse , mathematical analysis , calculus (dental) , geometry , medicine , dentistry
It is shown how Newton–Sabatier methods (arising in inverse scattering at fixed energy) can be related to spectral measures and typically when they correspond to regular potentials. A number of spectral formulae for various transmutation kernels are also given in terms of general Kontorovič–Lebedev theory and connections to generating functions, generalized orthogonal polynomials, etc. are indicated.