0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis

Buy Now

Operator Relations Characterizing Derivatives (Paperback, Softcover reprint of the original 1st ed. 2018) Loot Price: R1,597
Discovery Miles 15 970
Operator Relations Characterizing Derivatives (Paperback, Softcover reprint of the original 1st ed. 2018): Hermann Koenig,...

Operator Relations Characterizing Derivatives (Paperback, Softcover reprint of the original 1st ed. 2018)

Hermann Koenig, Vitali Milman

 (sign in to rate)
Loot Price R1,597 Discovery Miles 15 970 | Repayment Terms: R150 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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.

General

Imprint: Springer Nature Switzerland AG
Country of origin: Switzerland
Release date: December 2019
First published: 2018
Authors: Hermann Koenig • Vitali Milman
Dimensions: 235 x 155mm (L x W)
Format: Paperback
Pages: 191
Edition: Softcover reprint of the original 1st ed. 2018
ISBN-13: 978-3-03-013096-1
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Promotions
LSN: 3-03-013096-7
Barcode: 9783030130961

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Problems And Solutions In Banach Spaces…
Willi-Hans Steeb, Wolfgang Mathis Hardcover R3,781 Discovery Miles 37 810
A Mathematical Journey to Quantum…
Salvatore Capozziello, Wladimir-Georges Boskoff Hardcover R2,580 Discovery Miles 25 800
Bloch-type Periodic Functions: Theory…
Yong-kui Chang, Gaston Mandata N'G'Uerekata, … Hardcover R2,168 Discovery Miles 21 680
Operator Theory and Harmonic Analysis…
Alexey N. Karapetyants, Vladislav V. Kravchenko, … Hardcover R6,768 Discovery Miles 67 680
The Mathematics of Errors
Nicolas Bouleau Hardcover R3,995 Discovery Miles 39 950
Fractals - Form, Chance and Dimension
Benoit B. Mandelbrot Hardcover R1,110 Discovery Miles 11 100
A Birman-Schwinger Principle in Galactic…
Markus Kunze Hardcover R3,969 Discovery Miles 39 690
Theory
Steven Lord, Fedor Sukochev, … Hardcover R4,487 Discovery Miles 44 870
Operator Theory - Proceedings of the…
Aref Jeribi Hardcover R4,217 Discovery Miles 42 170
Finite-Dimensional Vector Spaces
Paul Halmos Hardcover R643 Discovery Miles 6 430
Orthogonal Polynomials: Current Trends…
Francisco Marcellan, Edmundo J. Huertas Hardcover R4,617 Discovery Miles 46 170
Aggregation Operators for Various…
Akansha Mishra, Amit Kumar Hardcover R3,048 Discovery Miles 30 480

See more

Partners