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Several Complex Variables and Banach Algebras

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272 Seiten
10 Lesestunden

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Focusing on the interplay between analytic functions and commutative Banach algebras, this book explores how function theory can address algebraic questions while introducing new concepts from Banach algebras. It covers uniform approximation problems in multiple complex variables, providing a comprehensive introduction without requiring prior knowledge. The third edition expands on topics like maximum modulus algebras, integral kernels, and the topology of hulls, along with a new chapter discussing historical context and recent advancements, making it a valuable resource for both students and researchers.