ANALYTIC PSEUDODIFFERENTIAL OPERATORS FOR THE HEISENBERG GROUP AND LOCAL SOLVABILITY. (MN-37)

simple, explicit formulae for products and adjoints, simple representation-theoretic conditions, analogous to ellipticity, for finding parametrices in the calculus, invariance under analytic contact transformations, regularity with respect to non-isotropic Sobolev and Lipschitz spaces, and preservation of local analyticity. The calculus is suitable for doing analysis on real analytic strictly pseudoconvex CR manifolds. In this context, the main new application is a proof that the Szego projection preserves local analyticity, even in the three-dimensional setting. Relative analytic parametrices are also constructed for the adjoint of the tangential Cauchy-Riemann operator.Originally published in 1990.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.