Homotopy Formulas in the Tangential Cauchy-Riemann Complex (Memoirs of the AMS) (Memoirs of the American Mathematical Society) - Softcover

Treves, Francois

Softcover

ISBN 10: 0821824961 ISBN 13: 9780821824962

Publisher: American Mathematical Society, 1992

Synopsis

This book presents a unified approach to homotopy formulas in the tangential Cauchy-Riemann complex, mainly on real hypersurfaces in complex space, but also on certain generic submanifolds of higher codimension. The construction combines the Bochner-Martinelli integral formulas with the FBI (Fourier-Bros-Iagolnitzer) minitransform. The hypersurface admits supporting manifolds of the appropriate holomorphic type from above and below. The supporting manifolds allow the selection of good "phase functions" and correspond to a kind of weak convexity in some directions, and concavity in others. This book should provide readers with a deeper understanding of the local theory of CR structures. Though it is essentially self-contained, the book does require some knowledge of complex and real analysis and of differential forms.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1992
• Language: English
• ISBN 10: 0821824961
• ISBN 13: 9780821824962
• Binding: Paperback
• Number of pages: 121