For two-step stratified Lie groups with degenerate brackets satisfying Assumptions A and B, sharp-order p-specific spectral multiplier bounds hold for p up to an explicit range, extending nondegenerate results.
Hebisch, Multiplier theorem on generalized Heisenberg groups , Colloq
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Spectral multipliers on two-step stratified Lie groups with degenerate group structure
For two-step stratified Lie groups with degenerate brackets satisfying Assumptions A and B, sharp-order p-specific spectral multiplier bounds hold for p up to an explicit range, extending nondegenerate results.