http://zone.biblio.laurentian.ca:8080/dspace/handle/10219/37 2013-05-23T01:22:55Z http://zone.biblio.laurentian.ca:8080/dspace/handle/10219/267 Title: A global estimate for the Legendre function for the root systems of type A with arbitrary multiplicities Authors: Sawyer, Patrice Abstract: We 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. 2008-03-30T23:25:16Z http://zone.biblio.laurentian.ca:8080/dspace/handle/10219/62 Title: Géométrie hyperbolique pour les non-initié Authors: Sawyer, Patrice 2004-01-01T00:00:00Z http://zone.biblio.laurentian.ca:8080/dspace/handle/10219/38 Title: The inverse of the Abel transform on ${\bf SU}^{\star}(2n)/{\bf Sp}(n)$ Authors: Sawyer, Patrice Abstract: In this note, we study the inverse of the Abel transform for the symmetric space ${\bf SU}^{\star}(2n)/{\bf Sp}(n)$. We start by giving a recursive formula for the dual of the Abel transform on the root system $A_{n-1}$. This formula allows us to consider a transmutation property on the generalized Abel transform associated to $A_{n-1}$. Description: This paper has not been published. However, it has been cited in peer reviewed venues. 2007-09-05T02:24:05Z