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math.FA2020
A generalized Gelfand pair attached to 3-step nilpotent Lie group
Andrea L. Gallo, Linda V. Saal
Let N be a nilpotent Lie group and K a compact subgroup of the automorphism group Aut(N) of N. It is well-known that if (KnN,N) is a Gelfand pair then N is at most 2-step nilpotent…
math.FA2019
Some harmonic analysis on commutative nilmanifolds
Andrea L. Gallo, Linda. V. Saal
In this work, we consider a family of Gelfand pairs (in short ) where is a two step nilpotent Lie group, and is the group of orthogonal automorphi…