Regularity Properties of Functional Equations in Several Variables

• Main Author: Járai, Antal (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2005.
• Series: Advances in Mathematics ; 8
• Subjects: Mathematics.; Difference equations.; Functional equations.; Difference and Functional Equations.

This book is about regularity properties of functional equations. In the second part of his fifth problem, Hilbert asked, concerning functional equations, "In how far are the assertions which we can make in the case of differentiable functions true under proper modifications without this assump...

Table of Contents:

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