Operator Relations Characterizing Derivatives

• Main Authors: König, Hermann (Author, http://id.loc.gov/vocabulary/relators/aut), Milman, Vitali (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Subjects: Difference equations.; Functional equations.; Operator theory.; Functions of real variables.; Difference and Functional Equations.; Operator Theory.; Real Functions.

This monograph develops an operator viewpoint for functional equations in classical function spaces of analysis, thus filling a void in the mathematical literature. Major constructions or operations in analysis are often characterized by some elementary properties, relations or equations which they...

Table of Contents:

• Introduction
• Regular Solutions of Some Functional Equations
• The Leibniz Rule
• The Chain Rule
• Stability and Rigidity of the Leibniz and the Chain Rules
• The Chain Rule Inequality and its Perturbations
• The Second-Order Leibniz rule
• Non-localization Results
• The Second-Order Chain Rule
• Bibliography
• Subject Index
• Author Index.