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math.AC2010★ 1 cited
Nilpotent Gelfand pairs and spherical transforms of Schwartz functions II. Taylor expansion on singular sets
Veronique Fischer, Fulvio Ricci, Oksana Yakimova
This paper is a continuation of [8], in the direction of proving the conjecture that the spherical transform on a nilpotent Gelfand pair (N,K) establishes an isomorphism between th…
math.FA2010
Nilpotent Gelfand Pairs and Spherical Transforms of Schwartz Functions I. Rank-One Actions on the Centre
Veronique Fischer, Fulvio Ricci, Oksana Yakimova
The spectrum of a Gelfand pair of the form (K lx N, K), where N is a nilpotent group, can be embedded in a Euclidean space Rd . The identification of the spherical transforms of K-…