Operator Relations Characterizing Derivatives

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...

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Bibliographic Details
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:
Online Access:Full Text via HEAL-Link
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.