The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations

Journal of Functional Analysis - Tập 72 - Trang 320-345 - 1987
Robert S Strichartz1
1Department of Mathematics, White Hall, Cornell University, Ithaca, New York 14853 USA

Tài liệu tham khảo

Bourbaki, 1975 Brockett, 1976, Volterra series and geometric control theory, Automatica, 12, 167, 10.1016/0005-1098(76)90080-7 Brockett, 1981, Control theory and singular Riemannian geometry, 11 Chen, 1957, Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula, Ann. Math., 65, 163, 10.2307/1969671 Chen, 1961, Formal differential equations, Ann. Math., 73, 110, 10.2307/1970284 Chen, 1962, An expansion formula for differential equations, Bull. Amer. Math. Soc., 68, 341, 10.1090/S0002-9904-1962-10801-5 Chen, 1963, Expansions of solutions of differential systems, Arch. Rational Mech. Anal., 13, 348, 10.1007/BF01262702 Chen, 1966, On a generalization of Picard's approximation, J. Differential Equations, 2, 438, 10.1016/0022-0396(66)90053-2 Dynkin, 1947, Evaluation of the coefficients of the Campbell-Hausdorff formula, Dokl. Akad. Nauk, 57, 323 Fliess, 1981, Fonctionelle causales non lineares et indeterminees non commutatives, Bull. Soc. Math. France, 109, 3, 10.24033/bsmf.1931 Grobner, 1967 Jacobson, 1962 Koranyi, 1982, Geometric aspects of analysis on the Heisenberg group, Vol. I, 209 Mitchell, 1985, On Carnot-Caratheodory metrics, J. Differential Geometry, 21, 35, 10.4310/jdg/1214439462 Nachman, 1982, The wave equation on the Heisenberg group, Comm. Partial Differential Equations, 7, 675, 10.1080/03605308208820236 Nagel, 1985, Balls and metrics defined by vector fields I, Acta. Math., 155, 103, 10.1007/BF02392539 Nelson, 1954, Analytic vectors, Ann. Math., 70, 572, 10.2307/1970331 Strichartz, 1986, Sub-Riemannian geometry, J. Differential. Geometry, 24, 221, 10.4310/jdg/1214440436 T. J. S. Taylor, Some aspects of differential geometry associated with hypoelliptic second order operators, preprint.