TY  - BOOK
AU  - Trèves,François
TI  - Homotopy Formulas in the Tangential Cauchy-Riemann Complex
T2  - Memoirs of the American Mathematical Society
SN  - 9781470408572
AV  - QA374 -- .T748 1990eb 
U1  - 515/.353 
PY  - 1990///
CY  - Providence
PB  - American Mathematical Society
KW  - Cauchy-Riemann equations
KW  - Homotopy theory
KW  - Differential forms
KW  - Electronic books
N1  - Intro -- 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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ER  -