COMPLEX VARIABLES & BANACH ALGEBRAS

By MARK LOPEZ

PRELIMINARIES AND NOTATION CHAPTER CLASSICAL APPROXIMATION THEOREMS OPERATIONAL CALCULUS IN ONE VARIABLE DIFFERENTIAL FORMS THE ?-OPERATOR THE EQUATION ?U F THE OKA-WEIL THEOREM OPERATIONAL CALCULUS IN SEVERAL VARIABLES THE ?SILOV BOUNDARY MAXIMALITY AND RAD´O’S THEOREM MAXIMUM MODULUS ALGEBRAS HULLS OF CURVES AND ARCS INTEGRAL KERNELS PERTURBATIONS OF THE STONE–WEIERSTRASS THEOREM THE FIRST COHOMOLOGY GROUP OF A MAXIMAL IDEAL SPACE THE ?-OPERATOR IN SMOOTHLY BOUNDED DOMAINS MANIFOLDS WITHOUT COMPLEX TANGENTS SUBMANIFOLDS OF HIGH DIMENSION BOUNDARIES OF ANALYTIC VARIETIES POLYNOMIAL HULLS OF SETS OVER THE CIRCLE AREAS TOPOLOGY OF HULLS PSEUDOCONVEX SETS IN CN EXAMPLES HISTORICAL COMMENTS AND RECENT DEVELOPMENTS