CR Manifolds and the Tangential Cauchy Riemann Complex

Author:   Al Boggess ,  Steven G. Krantz (Washington University, St. Louis, Missouri, USA)
Publisher:   Taylor & Francis Ltd
ISBN:  

9780367450526


Pages:   384
Publication Date:   02 December 2019
Format:   Paperback
Availability:   In Print   Availability explained
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CR Manifolds and the Tangential Cauchy Riemann Complex


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Author:   Al Boggess ,  Steven G. Krantz (Washington University, St. Louis, Missouri, USA)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.453kg
ISBN:  

9780367450526


ISBN 10:   0367450526
Pages:   384
Publication Date:   02 December 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Part I: Preliminaries 1. Analysis on Euclidean Space 2. Analysis on Manifolds 3. Complexified Vectors and Forms 4. The Frobenius Theorem 5. Distribution Theory 6. Currents Part II: CR Manifolds 7. CR Manifolds 8. The Tangential Cauchy-Riemann Complex 9. CR Functions and Maps 10. The Levi Form 11. The Imbeddability of CR Manifolds 12. Further Results Part III: The Holomorphic Extension of CR Functions 13. An Approximation Theorem 14. The Statement of the CR Extension Theorem 15. The Analytic Disc Technique 16. The Fourier Transform Technique 17. Further Results Part IV: Solvability of the Tangential Cauchy-Riemann Complex 18. Kernel Calculus 19. Fundamental Solutions for the Exterior Derivative and Cauchy-Riemann Operators 20. The Kernels of Henkin 21. Fundamental Solutions for the Tangential Cauchy-Riemann Complex on a Convex Hypersurface 22. A Local Solution to the Tangential Cauchy-Riemann Equations 23. Local Nonsolvability of the Tangential Cauchy-Riemann Complex 24. Further Results

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Boggess, Al

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