Cr Manifolds And The Tangential Cauchy-riemann Complex (studies In Advanced Mathematics)
by Albert Boggess /
1991 / English / DjVu
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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.
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.
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.