A class of unbounded Fourier integral operators
The author constructs a class of Fourier integral operators defined by a phase function \[ \varphi(x,y,\theta):= S(x,\theta)- y\cdot \theta \] and an amplitude \(a\in S^0_{1,1}\), which cannot be extended to a bounded operator in \(L^2\).
construction of a class of unbounded Fourier integral operators
scientific article; zbMATH DE number 1218242