Abstract

For a class of singular second-order differential operators Δ, we define and study the Weyl transforms W_σ associated with Δ, where σ is a symbol in S^m, for m in R. We give criteria in terms of σ for boundedness and compactness of the transform W_σ.

Keywords

Weyl transform, compact operator, Fourier–Wigner transform

Mathematical Subject Classification

Primary: 42A38, 65R10

Authors