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Continuous Nowhere Differentiable Functions, 1st ed. 2015, Corr. 2nd printing 2018 The Monsters of Analysis Springer Monographs in Mathematics Series

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Continuous Nowhere Differentiable Functions
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.
The ​Weierstrass type Functions.- The Categorical Approach.- Johnsen's Methods.- The generalized Takagi-van der Waerden function.- Non-differentiability of the generalized Weierstrass function--revisited.- Riemann function.- Besikovitch-Morse functions.- Linear spaces of nowhere differentiable functions.- Other non-differentiable functions.- Bibliography.

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.

Provides a systematic reference for research into, and courses on, the subject of continuous nowhere differentiable functions

Anthologizes over 150 years of progress on the topic of continuous nowhere differentiable functions

Consolidates an array of established results into a single, self-contained volume including detailed proofs

Date de parution :

Ouvrage de 299 p.

17.8x25.4 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

Prix indicatif 116,04 €

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Date de parution :

Ouvrage de 299 p.

17.8x25.4 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

Prix indicatif 116,04 €

Ajouter au panier
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