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Intertwining Operators for Solving Differential Equations, With Applications to Symmetric Spaces

Apr, 1989
30 pages
Published in:
  • Commun.Math.Phys. 130 (1990) 61
DOI:
Report number:
  • Print-89-0364 (UTAH)
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Abstract: (Springer)
The use of intertwining operators to solve both ordinary and partial differential equations is developed. Classes of intertwining operators are constructed which transform between Laplacians which are self-adjoint with respect to different non-trivial measures. In the two-dimensional case, the intertwining operator transforms a non-separable partial differential operator to a separable one. As an application, the heat kernels on the rank 1 and rank 2 symmetric spaces are constructed.