Functional Equations in Several Variables
This treatise deals with modern theory of functional equations in several variables and their applications to mathematics.
Read More ↓Title Statements
- Full title :Functional Equations in Several Variables / J. Aczel, J. Dhombres.
Summary
This treatise deals with modern theory of functional equations in several variables and their applications to mathematics.
Read More ↓Edition Statements
- Publication Date:1989.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:1989.
Notes
Title from publishers bibliographic system (viewed 22 Dec 2011).
The Physical Object
- Description:1 online resource (480 pages)
Edition Identifiers
- ISBN:9781139086578, 113908657X, 9780521352765, 0521352762, 9781107094161, 110709416X, 0521063892, 9780521063890
- oclc:ocn776977172
- LC Classification:QA431 .A334 1989
- Dewey Decimal:515.8/4
Table of Contents
Cover; Half Title; Title; Copyright; Dedication; PREFACE; FURTHER INFORMATION; 1 Axiomatic motivation of vector addition; Exercises and further results; 2 Cauchy's equation. Hamel basis; 2.1 General considerations, extensions, and regular solutions; 2.2 General solutions; Exercises and further results; 3 Three further Cauchy equations. An application to information theory; Exercises and further results; 4 Generalizations of Cauchy's equations to several muitiplace vector and matrix functions. An application to geometric objects; 4.1 Multiplace and vector functions.
4.2 A matrix functional equation and a characterization of densities in the theory of geometric objects4.3 Pexider equations; 4.4 Cauchy-type equations on semigroups; Exercises and further results; 5 Cauchy's equations for complex functions. Applications to harmonic analysis and to information measures; 5.1 Cauchy's equation and the exponential equation for complex functions; 5.2 Endomorphisms of the real and complex fields; 5.3 Bohr groups; 5.4 Recursive entropies; Exercises and further results.
6 Conditional Cauchy equations. An application to geometry and a characterization of the Heaviside functionExercises and fu…
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