An attempt to generalize the classical Weierstrassian notion of analytic continuation. The authors juxtapose non-controversial mathematical results that before were widely scattered through the literature in an effort to do for generalized analytic continuation what G. H. Hardy did for divergent series. Chapters cover PoincarT's result, Borel series, Goncar continuation, pseudocontinuation, continuation involving almost periodic functions, and continuation by formal multiplication of series. Annotation c. Book News, Inc., Portland, OR (booknews.com)