摘要
Let G be a connected and simply-connected step two homogeneous group, K be a left invariant homogeneous convolution operator on G. If K is hypoelliptic, then (K) is injective on C for every nontrivial irreducible unitary representation of G (referred to as Rockland condition).
Let G be a connected and simply-connected step two homogeneous group, K be a left invariant homogeneous convolution operator on G. If K is hypoelliptic, then (K) is injective on C for every nontrivial irreducible unitary representation of G (referred to as Rockland condition).
基金
Project supported by the National Natural Science Foundation of China.
