On Martinez’ method of phase space tunneling. (English) Zbl 0842.35145

Nakamura, Shu

Rev. Math. Phys. 7, No. 3, 431-441 (1995).

The Martinez method provides microlocal exponential decay estimates for the Bargman transform of eigenfunctions of elliptic differential operators. The author gives a very clear and readable review of the key estimates and a generalization to a deformed Bargman transform.

Reviewer: J.Asch (Marseille)

MSC:

35S05	Pseudodifferential operators as generalizations of partial differential operators
47F05	General theory of partial differential operators
81Q10	Selfadjoint operator theory in quantum theory, including spectral analysis

Keywords:

exponential decay estimates; Bargman transform; eigenfunctions of elliptic differential operators