Homotopy formulas in the tangential Cauchy-Riemann complex

Homotopy formulas in the tangential Cauchy-Riemann complex

by Treves, Francois

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Title Statements

  • Full title :Homotopy formulas in the tangential Cauchy-Riemann complex / François Treves.

Edition Statements

  • Publication Date:©1990

Publication Statements

Notes

"September 1990, volume 87, number 434 (second of 3 numbers)."

The Physical Object

  • Description:1 online resource (133 pages)

Edition Identifiers

  • ISBN:9781470408572, 1470408570
  • oclc:on1097112853
  • LC Classification:QA374
  • Dewey Decimal:515/.353

Table of Contents

""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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