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Product formulas for the relativistic and nonrelativistic conical functions

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 نشر من قبل Martin Halln\\\"as
 تاريخ النشر 2015
  مجال البحث فيزياء
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The conical function and its relativistic generalization can be viewed as eigenfunctions of the reduced 2-particle Hamiltonians of the hyperbolic Calogero-Moser system and its relativistic generalization. We prove new product formulas for these functions. As a consequence, we arrive at explicit diagonalizations of integral operators that commute with the 2-particle Hamiltonians and reduc



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