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Record Nr. |
UNINA9910480677903321 |
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Autore |
Treves Francois <1930-> |
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Titolo |
Homotopy formulas in the tangential Cauchy-Riemann complex / / François Treves |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1990 |
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©1990 |
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ISBN |
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Descrizione fisica |
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1 online resource (133 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 87, Number 434 |
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Disciplina |
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Soggetti |
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Cauchy-Riemann equations |
Homotopy theory |
Differential forms |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 1990, volume 87, number 434 (second of 3 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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