Let −L be the Laplacian. In this paper, we prove that on a compact Lie group G of dimension n, the
multiplier operator eis√
L(1+L) −β
2 , s ∈ (0, 1], extends to a bounded operator on the Hardy space Hp(G),
0
Keywords :
Oscillating multiplier , Compact Lie groups , Fourier series , Wave equation , Hp spaces