An Introduction to Involutive Structures

Shiferaw Berhanu; Paulo D. Cordaro; Jorge Hounie

doi:10.1017/CBO9780511543067

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An Introduction to Involutive Structures

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Cited by 78
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This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Hounie, J. 2009. A proof of Bochner’s tube theorem. Proceedings of the American Mathematical Society, Vol. 137, Issue. 12, p. 4203.

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Berhanu, Shiferaw and Hounie, Jorge 2009. Advances in Phase Space Analysis of Partial Differential Equations. Vol. 78, Issue. , p. 37.

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Hounie, J. and Kapp, Rafael Augusto dos Santos 2009. Pseudodifferential Operators on Local Hardy Spaces. Journal of Fourier Analysis and Applications, Vol. 15, Issue. 2, p. 153.

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Hounie, J. 2010. Complex Analysis. p. 187.

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Berhanu, S. 2010. Complex Analysis. p. 25.

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Berhanu, S. and Hounie, J. 2010. A Rudin–Carleson theorem for planar vector fields. Mathematische Annalen, Vol. 347, Issue. 1, p. 95.

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da Silva, P. and Meziani, A. 2011. Properties of solutions of a class of planar elliptic operators with degeneracies. Proceedings of the American Mathematical Society, Vol. 139, Issue. 11, p. 3937.

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Berhanu, S. and Hounie, J. 2011. A Generalization of Bochner’s Extension Theorem to Rough Tubes. Journal of Geometric Analysis, Vol. 21, Issue. 2, p. 455.

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Google Scholar

Maceda, Marco and Macías, Alfredo 2011. S1×S2Gowdy supersymmetric constraint. Physical Review D, Vol. 83, Issue. 4,

CrossRef

Google Scholar

Hoepfner, G. Hounie, J. and dos Santos, L. 2011. On the extension of ℎ^{𝑝}-CR distributions defined on rough tubes. Proceedings of the American Mathematical Society, Vol. 140, Issue. 2, p. 627.

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Google Scholar

Hoepfner, G. Hounie, J. and Carvalho dos Santos, L. 2011. Tube structures, Hardy spaces and extension of CR distributions. Transactions of the American Mathematical Society, Vol. 363, Issue. 10, p. 5091.

CrossRef

Google Scholar

Dattori da Silva, Paulo L. and da Silva, Evandro R. 2012. Solvability near the characteristic set for a special class of complex vector fields. Archiv der Mathematik, Vol. 98, Issue. 2, p. 183.

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Google Scholar

Berhanu, S. and Hounie, J. 2012. A Class of FBI Transforms. Communications in Partial Differential Equations, Vol. 37, Issue. 1, p. 38.

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Google Scholar

Montanari, Annamaria and Morbidelli, Daniele 2013. Almost Exponential Maps and Integrability Results for a Class of Horizontally Regular Vector Fields. Potential Analysis, Vol. 38, Issue. 2, p. 611.

CrossRef

Google Scholar

Barostichi, Rafael F. Cordaro, Paulo D. and Petronilho, Gerson 2013. On the Borel property for solutions to systems of complex vector fields. Mathematische Nachrichten, Vol. 286, Issue. 14-15, p. 1439.

CrossRef

Google Scholar

Han, Chong-Kyu and Park, Jong-Do 2013. Partial integrability of almost complex structures and the existence of solutions for quasilinear Cauchy–Riemann equations. Pacific Journal of Mathematics, Vol. 265, Issue. 1, p. 59.

CrossRef

Google Scholar

Castellanos, Jairo E. Cordaro, Paulo D. and Petronilho, Gerson 2013. Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems. Journal d'Analyse Mathématique, Vol. 119, Issue. 1, p. 333.

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Google Scholar

Berhanu, S. and Hounie, J. 2013. On vector fields in the plane with the reflection property. Transactions of the American Mathematical Society, Vol. 366, Issue. 4, p. 1703.

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Google Scholar

Eastwood, Michael and Xu, Feng 2013. Lie Groups: Structure, Actions, and Representations. Vol. 306, Issue. , p. 59.

CrossRef

Google Scholar

Meziani, A. Ainouz, A. and Boutarene, K.E. 2014. The Riemann–Hilbert problem for elliptic vector fields with degeneracies. Complex Variables and Elliptic Equations, Vol. 59, Issue. 6, p. 751.

CrossRef

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Shiferaw Berhanu, Temple University, Philadelphia, Paulo D. Cordaro, Universidade de São Paulo, Jorge Hounie, Universidade Federal de São Carlos

Publisher:: Cambridge University Press
Online publication date:: October 2009
Print publication year:: 2008
Online ISBN:: 9780511543067
DOI:: https://doi.org/10.1017/CBO9780511543067

Subjects:: Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Real and Complex Analysis
Series:: New Mathematical Monographs (6)

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Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five 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 behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject.

'… carefully organised … The book will be very useful for students wanting to learn the subject and it also introduces interesting recent results for specialists.'

Source: EMS Newsletter

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An Introduction to Involutive Structures

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Frontmatter
pp i-iv

Contents
pp v-viii

Preface
pp ix-xii

I - Locally integrable structures
pp 1-51

II - The Baouendi—Treves approximation formula
pp 52-100

III - Sussmann's orbits and unique continuation
pp 101-148

IV - Local solvability of vector fields
pp 149-217

V - The FBI transform and some applications
pp 218-270

VI - Some boundary properties of solutions
pp 271-307

VII - The differential complex associated with a formally integrable structure
pp 308-330

VIII - Local solvability in locally integrable structures
pp 331-360

Epilogue
pp 361-373

Appendix A - Hardy space lemmas
pp 374-380

Bibliography
pp 381-389

Index
pp 390-392

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An Introduction to Involutive Structures

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