Recent Developments in Several Complex Variables

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Princeton University Press, 1981 - Mathematics - 452 pages
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We shall study a notion of capacity for compact subsets of complex projective space. Our principal motivation for this comes from a theorem of Sibony and Wong [8], Let K be a compact circled subset of the unit sphere in C2.
 

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Contents

PROJECTIVE CAPACITY
3
ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC
29
GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC
47
ON METRICS AND DISTORTION THEOREMS
65
NECESSARY CONDITIONS FOR_SUBELLIPTICITY
93
DAS FORMALE PRINZIP FUR KOMPAKTE KOMPLEXE
101
PERTURBATIONS OF ANALYTIC VARIETIES
127
BIHOLOMORPHIC MAPPINGS BETWEEN TWODIMENSIONAL
133
BOUNDARY REGULARITY OF d
243
REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL
260
ON CP1 AS AN EXCEPTIONAL SET
261
ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY
277
A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTANS
291
SOME GENERAL RESULTS ON EQUIVALENCE
299
LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS
327
ON APPELLS SYSTEMS OF HYPERGEOMETRIC
345

NECESSARY CONDITIONS FOR HYPOELLIPTICITY
151
DIFFERENTIAL EQUATIONS
155
STABILITY PROPERTIES OF THE BERGMAN KERNEL
179
GLOBALE HOLOMORPHE KERNE ZUR LOSUNG
199
MAPPINGS BETWEEN CR MANIFOLDS
227
A CLASS OF HYPERBOLIC MANIFOLDS
357
INTERPOLATION MANIFOLDS
373
THE FERMAT SURFACE AND ITS PERIODS
413
SHEAF COHOMOLOGY ON 1CONVEX MANIFOLDS
429
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