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Title: The inverse of the Abel transform on ${\bf SU}^{\star}(2n)/{\bf Sp}(n)$
Authors: Sawyer, Patrice
Keywords: Abel transform;symmetric space;root system
Issue Date: 5-Sep-2007
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.
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