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Book DetailsPanoramas et SynthèsesVolume: 19; 2005; 106 ppMSC: Primary 35; 12; 58
The first part of this volume is an exposition of the theory of "systèmes en involution" of É. Cartan, from the homological point of view of Spencer, Sternburg et al. The point of view of Cartan himself is also recalled, and compared to the preceding one, in Appendix B. The second part proves the generic involutiveness of analytic differential systems, which is a precise version of an assertion of Cartan saying roughly that, "by prolongation, a differential system becomes eventually involutiveness".
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians interested in analysis.
- Book Details
The first part of this volume is an exposition of the theory of "systèmes en involution" of É. Cartan, from the homological point of view of Spencer, Sternburg et al. The point of view of Cartan himself is also recalled, and compared to the preceding one, in Appendix B. The second part proves the generic involutiveness of analytic differential systems, which is a precise version of an assertion of Cartan saying roughly that, "by prolongation, a differential system becomes eventually involutiveness".
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians interested in analysis.
