Functional Equations On Groups
Published on 30. August 2013
Book
Hardback
396 pages
978-981-4513-12-8 (ISBN)
Description
This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating the topic and contains new and transparent proofs. Its scope extends from the classical functional equations on the real line to those on groups, in particular, non-abelian groups. This volume presents, in careful detail, a number of illustrative examples like the cosine equation on the Heisenberg group and on the group SL(2, ?). Some of the examples are not even seen in existing monographs. Thus, it is an essential source of reference for further investigations.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 26 mm
Weight
722 gr
ISBN-13
978-981-4513-12-8 (9789814513128)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Content
Contents: Introduction; The Additive Cauchy Equation; The Multiplicative Cauchy Equation; Addition and Subtraction Formulas; Levi - Civita's Functional Equation; The Symmetrized Sine Addition Formula; Equations with Symmetric Right Hand Side; The Pre-d'Alembert Functional Equation; d'Alembert's Functional Equation; d'Alembert's Long Functional Equation; Wilson's Functional Equation; Jensen's Functional Equation; The Quadratic Functional Equation; K-Spherical Functions; The Sine Functional Equation; The Cocycle Equation; Appendices: Basic Terminology and Results; Substitutes for Commutativity; The Casorati Determinant; Regularity; Matrix-Coefficients of Representations; The Small Dimension Lemma; Group Cohomology.