Books in the Modern Analysis Series series

Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables, this title proposes that the most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic.

This volume studies the concepto of Gamma-lines which generalizes the concept of levels of sets and, at the same time, the concept of a-points. The aim of the authors is to provide a book on Gamma-lines for the broad specialist and to show the large range of their field of applications.

Begins with a review of concepts and methods from real analysis that relate to complex analysis, followed by brief, clear proofs of basic statements. This work includes discussions on holomorphic functions, analytic continuation, isolated singularities, conformal mappings, special functions and boundary value problems.