Six papers that originally appeared in the journal Sugaku in Japanese explore the general area of mathematical analysis as it pertains to free probability, based on operator algebras. They cover the free products of operator algebras and free probability theory, the dynamics of Kleinian groups and the Hausdorff dimension of limit sets, topological methods in the stability analysis of travelling waves, an extension of almost periodic functions and analyticity on flows, PainlevT equations in the past century, and the Navier-Stokes equation in various function spaces. They are not indexed. Annotation c. Book News, Inc., Portland, OR (booknews.com)