2008
DOI: 10.1017/cbo9780511543067
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An Introduction to Involutive Structures

Abstract: An Introduction to Involutive Structures Detailing the main methods in the theory of involutive systems of complex vector fields, this book examines the major results from the last 25 years in the subject. One of the key tools of the subject-the Baouendi-Treves approximation theorem-is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behavior of the solu… Show more

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Cited by 142 publications
(133 citation statements)
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“…Table 7 represents the Ordinary Least Square Method (OLS) regression results on the effects of adaptive capacities on rice production. These results were obtained by the estimating the double logarithmic augmented Cobb-Douglas production function specified in the equation (5). The Table 7 shown in below.…”
Section: Degree Of Adaptive Capacities Of Farmers' To Adaptation Stramentioning
confidence: 99%
“…Table 7 represents the Ordinary Least Square Method (OLS) regression results on the effects of adaptive capacities on rice production. These results were obtained by the estimating the double logarithmic augmented Cobb-Douglas production function specified in the equation (5). The Table 7 shown in below.…”
Section: Degree Of Adaptive Capacities Of Farmers' To Adaptation Stramentioning
confidence: 99%
“…A quotient bundle with this property is called an involutive structure in the sense of Trèves [2,17]. Just as (15) gives rise to a spectral sequence for the Dolbeault cohomology of Z in terms of smooth data on M , so does (17) give rise to a similar spectral sequence for the involutive cohomology of F .…”
Section: Generalities On Double Fibrationsmentioning
confidence: 99%
“…. , Z m are called local first integrals of the structure and the number m is called the co-rank of V. It is known (see, e.g., [BCH,Corollary I.10.2] for the case k = ∞) that we can always find local coordinates (x 1 , . .…”
Section: Locally Integrable Tube Structuresmentioning
confidence: 99%