A classic treatment of complex variables from the acclaimed Annals of Mathematics Studies series

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John Erik Fornaess

• Frontmatter,
• THE FOUNDING OF THE ANNALS STUDIES,
• FOREWORD,
• TABLE OF CONTENTS,
• PROJECTIVE CAPACITY,
• ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX VARIABLES,
• GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC GEOMETRY I: THE EXTENDED DYNKIN DIAGRAM E8 AND MINIMAL SINGULAR COMPACTIFICATIONS OF C2,
• ON METRICS AND DISTORTION THEOREMS,
• NECESSARY CONDITIONS FOR SUBELLIPTICITY AND HYPOELLIPTICITY FOR THE ¯-NEUMANN PROBLEM ON PSEUDOCONVEX DOMAINS,
• DAS FORMALE PRINZIP FÜR KOMPAKTE KOMPLEXE UNTERMANNIGFALTIGKEITEN MIT 1-POSITIVEM NORMALENBUNDEL,
• PERTURBATIONS OF ANALYTIC VARIETIES,
• BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES,
• NECESSARY CONDITIONS FOR HYPOELLIPTICITY OF THE ( ¯-PROBLEM),
• THE EDGE-OF-THE-WEDGE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS,
• THE RADIAL DERIVATIVE, FRACTIONAL INTEGRALS, AND THE COMPARATIVE GROWTH OF MEANS OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn,
• STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS,
• GLOBALE HOLOMORPHE KERNE ZUR LÖSUNG DER CAUCHY-RIEMANNSCHEN DIFFERENTIALGLEICHUNGEN,
• MAPPINGS BETWEEN CR MANIFOLDS,
• BOUNDARY REGULARITY OF ¯,
• ON CP1 AS AN EXCEPTIONAL SET,
• ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY OF THE BALL IN C2,
• A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTAN'S THEOREM B,
• SOME GENERAL RESULTS ON EQUIVALENCE OF EMBEDDINGS,
• LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES,
• ON APPELL'S SYSTEMS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS,
• A CLASS OF HYPERBOLIC MANIFOLDS,
• INTERPOLATION MANIFOLDS,
• SURVEY OF SOME RECENT RESULTS IN C8 AND REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL DIFFERENTIAL OPERATORS WITH APPLICATIONS TO SEVERAL COMPLEX VARIABLES,
• THE FERMAT SURFACE AND ITS PERIODS,
• SHEAF COHOMOLOGY ON 1-CONVEX MANIFOLDS,