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CR manifolds and the tangential Cauchy-Riemann complex

Author: Albert Boggess
Publisher: Boca Raton : CRC Press, ©1991.
Series: Studies in advanced mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Offers an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and presents some of the most important recent developments in the field. This book covers the basic  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Albert Boggess
ISBN: 084937152X 9780849371523
OCLC Number: 24217987
Description: xvii, 364 pages ; 24 cm.
Contents: PRELIMINARIES. Differential Forms and Stokes Theorem. Distributions and Curents. Fundamental Solutions for(these symbols are to be used in an equation -----? ? z ---- see note at bottom)and D. Edge of the Wedge Theorem. Whitney's Extension Theorem. CR MANIFOLDS AND CR FUNCTIONS. Overview. CR Manifolds. The Tangential Cauchy Riemann Complex. Normal Form for Imbedded CR Manifolds. CR Functions. The Imbeddability of Real Analytic Abstract CR Manifolds. A Non-Imbeddable C8 Abstract CR Manifold. Further Results. HOLOMORPHIC EXTENSION OF CR FUNCTIONS. Overview. Approximating CR Functions By Entire Functions. Statement of the Extension Theorem. The Analytic Disc Technique. The Fourier Transform Technique. The Real Analytic Regularity of CR Mappings. Further Results. THE SOLVABILITY OF THE TANGENTIAL CAUCHY RIEMANN EQUATIONS. Overview. Kernel Calculus. The Kernels of Cauchy and Bochner. The Kernel of Henkin. The Fundamental Solution for the Tangential Cauchy Riemann Equations. A Local Solution for the Tangential Cauchy Riemann Equations. Lewy's Non-Solvability Example. Henkin's Criterion for Local Solvability of the Tangential Cauchy Riemann Complex at the Top Degree. Further Results.
Series Title: Studies in advanced mathematics.
Responsibility: Albert Boggess.
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