Singular pseudodifferential calculus for wavetrains and pulses
Singular pseudodifferential calculus for wavetrains and pulses
We develop a singular pseudodifferential calculus. The symbols that we consider do not satisfy the standard decay with respect to the frequency variables. We thus adopt a strategy based on the Calderon-Vaillancourt Theorem. The remainders in the symbolic calculus are bounded operators on $L^2$, whose norm is measured with respect …