Regularity Properties of Functional Equations in Several Variables

2005
ISBN: 978-0-387-24413-6
Verlag: Springer US

Buch, Englisch, Band 8, 363 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1550 g

Reihe: Advances in Mathematics

This book illustrates the basic ideas of regularity properties of functional equations by simple examples. It then treats most of the modern results about regularity of non-composite functional equations of several variables in a unified fashion. A long introduction highlights the basic ideas for beginners and several applications are also included.

Zielgruppe

Research

Autoren/Hrsg.

Járai, Antal

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Preliminaries.- Steinhaus Type Theorems.- Boundedness and Continuity of Solutions.- Differentiability and Analyticity.- Regularity Theorems on Manifolds.- Regularity Results with Fewer Variables.- Applications.