Functional Equations in Mathematical Analysis

Author(s): 
Themistocles M. Rassias, Janusz Brzdek, editors.
Publisher: 
Springer
Year: 
2012
ISBN: 
987-1-4614-0054-7
Price (tentative): 
$220
Short description: 

This volume has been edited in commemoration of the 100th anniversary of the birth of the eminent mathematician and physicist Stanislaw Ulam (April 3, 1909 to May 13, 1984). The volume consists of 47 articles written by experts who present research works in the field of Mathematical Analysis and related subjects, in particular, in Functional Equations and Inequalities.

URL for publisher, author, or book: 
http://rd.springer.com/book/10.1007/978-1-4614-0055-4
MSC main category: 
46 Functional analysis
Review: 

This volume has been edited in commemoration of the 100th anniversary of the birth of the eminent mathematician and physicist Stanislaw Ulam (April 3, 1909 to May 13, 1984). The editors of the volume are Themistocles M. Rassias (National Technical University of Athens, Greece) and Janusz Brzdek (Pedagogical University of Krakow, Poland).

The volume consists of 47 articles written by experts who present research works in the field
of Mathematical Analysis and related subjects, in particular, in Functional Equations and
Inequalities. These works provide an insight in the study of various problems of nonlinear
analysis. Several of the results have been influenced by the work of S. Ulam. In particular,
a special emphasis is given to one of his questions concerning approximate homomorphisms.

The book is divided in two parts. Part I focuses on several aspects of the Ulam stability
theory. The original stability problem was posed by S. M. Ulam in 1940 and concerned
approximate homomorphisms. The pursuit of solutions to this problem, but also to its
generalizations and modifications for various classes of (difference, functional, differential, and integral) equations and inequalities, is an expanding area of research and has led to the development of what is now known as the Hyers-Ulam stability theory.

Part II consists of papers on various subjects of Mathematical Analysis, mainly
Functional Analysis, Inequalities, and Geometric Analysis.

All together, it is a very nice volume collecting a lot of material of high level, which can be of interest to researchers in different areas related to Ulam's work.

Reviewer: 
Vicente Muñoz
Affiliation: 
UCM, Spain

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