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Homotopy formulas in the tangential Cauchy-Riemann complex / François Treves

Auteur principal : Treves, François, 1930-, AuteurType de document : MonographieCollection : Memoirs of the American Mathematical Society, 434Langue : anglais.Pays : Etats Unis.Éditeur : Providence : American Mathematical Society, 1990Description : 1 vol. (VIII-121 p.) ; 26 cmISBN : 9780821824962; 0821824961.ISSN : 0065-9266.Bibliographie : Bibliogr. p. 121.Sujet MSC : 35N15, Partial differential equations -- Overdetermined systems, ∂¯-Neumann problem and generalizations; formal complexes
58J10, Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators, Differential complexes; elliptic complexes
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Conjugation of the classical kernels of Bochner-Martinelli and Koppelman- Leray with the FBI minitransform - a simplified version of the Fourier- Bros-Iagolnitzer transform - is used to construct homotopy operators in the tangential Cauchy-Riemann complex. On a real hypersurface in complex space the presence of supporting manifolds is exploited to modify the phase function and ensure the positivity of its imaginary part. (Zentralblatt)

Bibliogr. p. 121

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