Intertwining operators for solving differential equations, with applications to symmetric spaces. (English) Zbl 0704.58025

There are considered general properties of intertwining operators and their application to solving ordinary and partial differential equations. For example, the heat kernels on the rank-one and rank-two symmetric spaces are constructed.
Reviewer: J.Danesova


37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
58J35 Heat and other parabolic equation methods for PDEs on manifolds
53C35 Differential geometry of symmetric spaces
35K05 Heat equation
Full Text: DOI


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