Intertwining operators for solving differential equations, with applications to symmetric spaces

DOI10.1007/BF02099874zbMath0704.58025MaRDI QIDQ917108

Arlen Anderson, Roberto Camporesi

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

intertwining operatorLaplace operatorsymmetric spaceheat kernelDynkin diagram

Mathematics Subject Classification ID

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

Related Items

Heat kernel on homogeneous bundles over symmetric spaces, Logarithmic corrections to \({\mathcal{N} = 2}\) black hole entropy: an infrared window into the microstates, On the Structure of Zonal Spherical Functions on Symmetric Spaces of Negative Curvature of Type AII, Minakshisundaram-Pleijel coefficients for non-compact higher rank symmetric spaces, The Riemann–Liouville integral and continuous KP hierarchy, Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces, Exact normalized eigenfunctions for general deformed Hulthén potentials, The spinor heat kernel in maximally symmetric spaces, The extended Bethe Ansatz for infinite \(S=1/2\) quantum spin chains with non-nearest-neighbor interaction, Similarity and intertwining of Dirac operators, Intertwined isospectral potentials in an arbitrary dimension

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