175 citations · 1.5k across the 67 of their papers we have counts for
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math.RT2017★ 1 cited
Conformal symmetry breaking on differential forms and some applications
Toshiyuki Kobayashi
Rapid progress has been made recently on symmetry breaking operators for real reductive groups. Based on Program A-C for branching problems (T.Kobayashi [Progr.Math.2015]), we illu…
math.RT2017★ 8 cited
Residue formula for regular symmetry breaking operators
Toshiyuki Kobayashi
We prove an explicit residue formula for a meromorphic continuation of conformally covariant integral operators between differential forms on and on its hyperplane. The…
math.RT2017★ 11 cited
Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad
Toshiyuki Kobayashi, Birgit Speh
We consider irreducible unitary representations of G=SO(n+1,1) with the same infinitesimal character as the trivial representation and representations of H=SO(n,1) with…