Hypo-Analytic Structures: Local Theory (Princeton Mathematical Series) - Hardcover

Treves, Francois

Hardcover

ISBN 10: 069108744X ISBN 13: 9780691087443

Verlag: Princeton University Press, 1992

Inhaltsangabe

In Hypo-Analytic Structures Francois Treves provides a systematic approach to the study of the differential structures on manifolds defined by systems of complex vector fields. Serving as his main examples are the elliptic complexes, among which the De Rham and Dolbeault are the best known, and the tangential Cauchy-Riemann operators. Basic geometric entities attached to those structures are isolated, such as maximally real submanifolds and orbits of the system. Treves discusses the existence, uniqueness, and approximation of local solutions to homogeneous and inhomogeneous equations and delimits their supports.
The contents of this book consist of many results accumulated in the last decade by the author and his collaborators, but also include classical results, such as the Newlander-Nirenberg theorem. The reader will find an elementary description of the FBI transform, as well as examples of its use. Treves extends the main approximation and uniqueness results to first-order nonlinear equations by means of the Hamiltonian lift.

Details zur Ausgabe

• Verlag: Princeton University Press
• Erscheinungsdatum: 1992
• Sprache: Englisch
• ISBN 10: 069108744X
• ISBN 13: 9780691087443
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 524
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Buchpark GmbH; gpsr@buchpark.de; ; Krügerweg 1; Trebbin; Brandenburg; 14959; Deutschland