Continuous Nowhere Differentiable Functions ― The Monsters of Analysis

This book is a comprehensive, self-contained compendium of results on continuous nowhere differentiable functions, collecting many results hitherto accessible only in the scattered literature. Spanning the subject from its origin in the work of Weierstrass to the very latest research, topics covered include: an overview of classical methods for constructing nowhere differentiable functions, the Banach–Jarnik–Mazurkiewicz theorem, generalized Weierstrass functions, Besikovitch–Morse functions, and an analysis of linear spaces of nowhere differentiable functions. Advanced graduate students and researchers in analysis will welcome this technically precise presentation.

Marek Jarnicki is Professor of Mathematics at Jagiellonian University, Poland. His primary subject of research is complex analysis, particularly holomorphically invariant (contractible) pseudodistances and pseudometrics; domains of holomorphy with respect to special cases of holomorphic functions; continuation of holomorphic functions with restricted growth; and the extension of separately analytic functions.

Peter Pflug is Professor of Mathematics at the University of Oldenburg, Germany. His primary subject of research is the theory of functions of several complex variables and complex analysis.