02895nam 2200565 450 991082743810332120220817013627.01-4704-0857-0(CKB)3360000000464618(EBL)3113858(SSID)ssj0000973218(PQKBManifestationID)11539951(PQKBTitleCode)TC0000973218(PQKBWorkID)10960089(PQKB)11340281(MiAaPQ)EBC3113858(RPAM)4832417(PPN)195413172(EXLCZ)99336000000046461820140904h19901990 uy 0engur|n|---|||||txtccrHomotopy formulas in the tangential Cauchy-Riemann complex /François TrevesProvidence, Rhode Island :American Mathematical Society,1990.©19901 online resource (133 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 87, Number 434"September 1990, volume 87, number 434 (second of 3 numbers)."0-8218-2496-1 Includes bibliographical references.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.Memoirs of the American Mathematical Society ;Volume 87, Number 434.Cauchy-Riemann equationsHomotopy theoryDifferential formsCauchy-Riemann equations.Homotopy theory.Differential forms.515/.353Treves Francois1930-424171MiAaPQMiAaPQMiAaPQBOOK9910827438103321Homotopy formulas in the tangential Cauchy-Riemann complex4113825UNINA