where φ=(φ₁;φ₂) is a symplectic transformation of order 1 on T*N-\0\ . Although our operators such as (1) form much narrower class than what was defined by H [3] or Guillemin -Sternberg [2], our expression contains less ambiguities, and hence one can give a sort of coordinate system on a “vicinity” of the identity operator of the Fourier-integral operators of order $0$ (cf. Theorem 5.8 [8]). Moreover, the above expression seems to be convenient for concrete computation of the fundamental solution of the equation
No takes yet. Share an insight, caveat, or question.
Maeda et al. (1981) studied this question.