CR Manifolds and the Tangential Cauchy Riemann Complex
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A01=Al Boggess
Albert Boggess
Analytic Disc
analytic disc method
Author_Al Boggess
Category=PBK
Cauchy Kernel
Cauchy Riemann Equations
Cauchy Riemann Operator
Complex Structure Map
Complexified Tangent Bundle
CR Extension
CR Extension Theorem
CR Function
CR Manifold
CR Structure
CR Submanifold
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exterior Derivative
Fourier transform techniques
Frobenius theorem
function
Generic CR Submanifold
holomorphic
holomorphic extension problem
Holomorphic Function
Holomorphically Extend
Imbed CR Manifold
kernel calculus
Levi Form
Local Solvability
partial differential equations
Real Hypersurface
several complex variables
Smooth Manifold
Tangential Cauchy Riemann Complex
Tangential Cauchy Riemann Equations
Tangential Vector Field
Top Degree
Product details
- ISBN 9780849371523
- Weight: 662g
- Dimensions: 156 x 234mm
- Publication Date: 12 Sep 1991
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
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.
Boggess\, Al
