CR Manifolds and the Tangential Cauchy Riemann Complex provides an
elementary introduction to CR manifolds and the tangential
Cauchy-Riemann Complex and presents some of the most important
recent developments in the field. The first half of the book covers
the basic definitions and background material concerning CR
manifolds, CR functions, the tangential Cauchy-Riemann Complex and
the Levi form. The second half of the book is devoted to two
significant areas of current research. The first area is the
holomorphic extension of CR functions. Both the analytic disc
approach and the Fourier transform approach to this problem are
presented. The second area of research is the integral kernal
approach to the solvability of the tangential Cauchy-Riemann
Complex. CR Manifolds and the Tangential Cauchy Riemann Complex
will interest students and researchers in the field of several
complex variable and partial differential equations.
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