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Problems arising from the study of holomorphic continuation and holomorphic approximation have been central in the development of complex analysis in finitely many variables, and constitute one of the most promising lines of research in infinite dimensional complex analysis. This book presents a unified view of these topics in both finite and infinite dimensions.

Banach spaces. --- Domains of holomorphy. --- Holomorphic functions. --- Banach spaces --- Domains of holomorphy --- Holomorphic functions