107 citations · 499 across the 25 of their papers we have counts for
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math.RT2001★ 104 cited
Analysis on the minimal representation of O(p,q) -- III. ultrahyperbolic equations on R^{p-1,q-1}
Toshiyuki Kobayashi, Bent Orsted
For the group O(p,q) we give a new construction of its minimal unitary representation via Euclidean Fourier analysis. This is an extension of the q = 2 case, where the representati…
math.RT2001★ 67 cited
Analysis on the minimal representation of O(p,q) -- II. Branching laws
Toshiyuki Kobayashi, Bent Orsted
This is a second paper in a series devoted to the minimal unitary representation of O(p,q). By explicit methods from conformal geometry of pseudo-Riemannian manifolds, we find the…
math.RT2001★ 63 cited
Analysis on the minimal representation of O(p,q) -- I. Realization via conformal geometry
Toshiyuki Kobayashi, Bent Orsted
This is the first in a series of papers devoted to an analogue of the metaplectic representation, namely, the minimal unitary representation of an indefinite orthogonal group; this…