|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910827438103321 |
|
|
Autore |
Treves Francois <1930-> |
|
|
Titolo |
Homotopy formulas in the tangential Cauchy-Riemann complex / / François Treves |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 1990 |
|
©1990 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (133 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 87, Number 434 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Cauchy-Riemann equations |
Homotopy theory |
Differential forms |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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. |
|
|
|
|
|
|
|