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math.RT2026
Well-tempered symmetric spaces
Alexandre Afgoustidis, Peter Hochs, Shintaro Nishikawa +1
Let be a real reductive symmetric space. We consider the support of the Plancherel measure for the regular representation of on , and its Fell topology. We firs…
math.RT2021
Slow exponential growth representations of Sp(n, 1) at the edge of Cowling's strip
Pierre Julg, Shintaro Nishikawa
We obtain a slow exponential growth estimate for the spherical principal series representation rho_s of Lie group Sp(n, 1) at the edge (Re(s)=1) of Cowling's strip (|Re(s)|<1) on t…