Operator Relations Characterizing Derivatives

Name: Operator Relations Characterizing Derivatives
Brand: Springer Nature Switzerland AG
SKU: 9783030130961
Price: 19305 HUF
Availability: InStock

Szerző: Hermann König, Vitali Milman

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Nature Switzerland AG

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

19 305 Ft

This monograph develops an operator viewpoint for functional equations in classical function spaces...

Információk a könyvről

Szerző

Hermann König, Vitali Milman

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2019

oldal

191

EAN

9783030130961

Enbook ID

24705098

Kiadó

Springer Nature Switzerland AG

Súly

454

Méretek

155 x 235 x 12

Teljes leírás

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 satisfy. The authors present recent results on the problem to what extent the derivative is characterized by equations such as the Leibniz rule or the Chain rule operator equation in Ck-spaces. By localization, these operator equations turn into specific functional equations which the authors then solve. The second derivative, Sturm-Liouville operators and the Laplacian motivate the study of certain "second-order" operator equations. Additionally, the authors determine the general solution of these operator equations under weak assumptions of non-degeneration. In their approach, operators are not required to be linear, and the authors also try to avoid continuity conditions. The Leibniz rule, the Chain rule and its extensions turn out to be stable under perturbations and relaxations of assumptions on the form of the operators. The results yield an algebraic understanding of first- and second-order differential operators. Because the authors have chosen to characterize the derivative by algebraic relations, the rich operator-type structure behind the fundamental notion of the derivative and its relatives in analysis is discovered and explored. The book does not require any specific knowledge of functional equations. All needed results are presented and proven and the book is addressed to a general mathematical audience.

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták

Leggyakrabban keresett

Categories

Authors

Publishers

Termékek

Termékek

Leggyakrabban keresett

Categories

Authors

Publishers

Termékek

Termékek

Operator Relations Characterizing Derivatives

Információk a könyvről

Teljes leírás

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták