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



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Autore: Treves Francois <1930-> Visualizza persona
Titolo: Homotopy formulas in the tangential Cauchy-Riemann complex / / François Treves Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 1990
©1990
Descrizione fisica: 1 online resource (133 p.)
Disciplina: 515/.353
Soggetto topico: Cauchy-Riemann equations
Homotopy theory
Differential forms
Note generali: "September 1990, volume 87, number 434 (second of 3 numbers)."
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: CONTENTS -- INTRODUCTION -- CHAPTER I: HOMOTOPY FORMULAS WITH EXPONENTIAL IN THE CAUCHY-RIEMANN COMPLEX -- I.1 The Cauchy-Riemann complex in C[sup(n)]. Notation -- I.2 Bochner-Martinelli formula with exponential -- I.3 Koppelman formulas with exponential -- I.4 Vanishing of the error terms -- CHAPTER II: HOMOTOPY FORMULAS IN THE TANGENTIAL CAUCHY-RIEMANN COMPLEX -- II.1 Local description of the tangential Cauchy-Riemann complex -- II.2 Application of the Bochner-Martinelli formula to a CR manifold -- II.3 Homotopy formulas for differential forms that vanish on the s-part of the boundary -- II.4 The pinching transformation -- II.5 Reduction to differential forms that vanish on the s-part of the boundary -- II.6 Convergence of the homotopy operators -- II.7 Exact homotopy formulas -- CHAPTER III: GEOMETRIC CONDITIONS -- III.1 In variance of the central hypothesis in the hypersurface case -- III.2 The hypersurface case: Supporting manifolds -- III.3 Local homotopy formulas on a hypersurface -- III.4 Local homotopy formulas in higher codimension -- REFERENCES.
Titolo autorizzato: Homotopy formulas in the tangential Cauchy-Riemann complex  Visualizza cluster
ISBN: 1-4704-0857-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910827438103321
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Serie: Memoirs of the American Mathematical Society ; ; Volume 87, Number 434.