Operator Relations Characterizing Derivatives

AvHermann König,Vitali Milman

Häftad, Engelska, 2019

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Beskrivning

This monograph develops an operator viewpoint for functional equations in classical function spaces of analysis, thus filling a void in the mathematical literature. By localization, these operator equations turn into specific functional equations which the authors then solve.

Produktinformation

Utgivningsdatum:2019-12-10
Mått:155 x 235 x 12 mm
Vikt:312 g
Format:Häftad
Språk:Engelska
Antal sidor:191
Förlag:Springer Nature Switzerland AG
ISBN:9783030130961

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

“The reader will find an elegant treatment of the theory of such equations and their generalizations. … the Bibliography includes more then 50 titles.” (Edward L. Pekarev, zbMATH 1478.47001, 2022)

Innehållsförteckning

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.