Generalized Analytic Continuation

Download or read book Generalized Analytic Continuation written by William T. Ross and published by American Mathematical Soc.. This book was released on 2002 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the book. The authors use the strong analogy with the summability of divergent series to motivate the subject. They are careful to cover the various types of continuations, attempting to unify them and suggesting some open questions. The book also addresses the role of such continuations in approximation theory and operator theory. The introductory overview provides a useful look at the history and context of the theory.