A relative index on the space of embeddable CR-structures, II

• 成果类型: Article
• 署名作者: Epstein, CL
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/120983
• 发表日期: 1998
• 页码: 61-91
• 关键词: operators

摘要

We consider the Szego projector and the partial inverse for the square(b)-operator defined by a strictly pseudoconvex CR-structure on a compact manifold. In particular we study the dependence on the CR-structure in the construction of Beals and Greiner of an approximate projector and partial inverse for square(b). Parametrices for some operators introduced in [Ep] are constructed. This entails the analysis of the inverses for certain classes of convolution operators on the Heisenberg group.