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Several Complex Variables and Banach Algebras, Vol. 35 Book

Several Complex Variables and Banach Algebras, Vol. 35
Several Complex Variables and Banach Algebras, Vol. 35, A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is develo, Several Complex Variables and Banach Algebras, Vol. 35 has a rating of 3 stars
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Several Complex Variables and Banach Algebras, Vol. 35, A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is develo, Several Complex Variables and Banach Algebras, Vol. 35
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  • Several Complex Variables and Banach Algebras, Vol. 35
  • Written by author Herbert Alexander
  • Published by Springer-Verlag New York, LLC, November 1997
  • A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is develo
  • Many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. While function theory has often been employed to answer algebraic questions such as the existence of i
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Preface to the Second Edition
Preface to the Third Edition
Ch. 1Preliminaries and Notation1
Ch. 2Classical Approximation: Theorems5
Ch. 3Operational Calculus in One Variable17
Ch. 4Differential Forms23
Ch. 5The [actual symbol not reproducible]-Operator27
Ch. 6The Equation [actual symbol not reproducible]u = f31
Ch. 7The Oka-Weil Theorem36
Ch. 8Operational Calculus in Several Variables43
Ch. 9The Silov Boundary50
Ch. 10Maximality and Rado's Theorem57
Ch. 11Maximum Modulus Algebras64
Ch. 12Hulls of Curves and Arcs84
Ch. 13Integral Kernels92
Ch. 14Perturbations of the Stone-Weierstrass Theorem102
Ch. 15The First Cohomology Group of a Maximal Ideal Space112
Ch. 16The [actual symbol not reproducible]-Operator in Smoothly Bounded Domains120
Ch. 17Manifolds Without Complex Tangents134
Ch. 18Submanifolds of High Dimension146
Ch. 19Boundaries of Analytic Varieties155
Ch. 20Polynomial Hulls of Sets Over the Circle170
Ch. 21Areas180
Ch. 22Topology of Hulls187
Ch. 23Pseudoconvex sets in C[superscript n]194
Ch. 24Examples206
Ch. 25Historical Comments and Recent Developments224
Ch. 26Appendix231
Ch. 27Solutions to Some Exercises237
Bibliography241
Index251


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Several Complex Variables and Banach Algebras, Vol. 35, A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is develo, Several Complex Variables and Banach Algebras, Vol. 35

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Several Complex Variables and Banach Algebras, Vol. 35, A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is develo, Several Complex Variables and Banach Algebras, Vol. 35

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Several Complex Variables and Banach Algebras, Vol. 35, A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is develo, Several Complex Variables and Banach Algebras, Vol. 35

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