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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Hlavní autor: König, Hermann (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Témata:
Difference equations.
Functional equations.
Operator theory.
Functions of real variables.
ISBN:9783030002411
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Obsah:
  • 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.

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