Krein reproducing kernel modules in Clifford analysis
نویسندگان
چکیده
Classic hypercomplex analysis is intimately linked with elliptic operators, such as the Laplacian or Dirac operator, and positive quadratic forms. But there are many applications like crystallographic X-ray transform ultrahyperbolic operator which closely connected indefinite Although appearing in papers cases Hilbert modules not right choice function spaces since they do reflect induced geometry. In this paper we going to show that Clifford-Krein naturally context. Even taking into account difficulties, e.g., existence of different inner products for duality topology, demonstrate how one can work them Taking possible nature analysis, special attention will be given study reproducing kernels. end discuss interpolation problem kernel.
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ژورنال
عنوان ژورنال: Journal D Analyse Mathematique
سال: 2021
ISSN: ['0021-7670', '1565-8538']
DOI: https://doi.org/10.1007/s11854-021-0155-6