A global estimate for the Legendre function for the root systems of type A with arbitrary multiplicities

Sawyer, Patrice2008-03-302008-03-302008-03-30http://laurentian.scholaris.ca/dspace/handle/10219/267We generalize the global estimate Jean-Philippe Anker found for the Legendre function $\phi_0$ on symmetric spaces of noncompact type to the root systems of type A with arbitrary multiplicities.enA global estimate for the Legendre function for the root systems of type A with arbitrary multiplicities