Regularity Properties of Functional Equations in Several Variables

AvAntal Járai

Inbunden, Engelska, 2005

Del i serien Advances in Mathematics

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Beskrivning

This book illustrates the basic ideas of regularity properties of functional equations by simple examples. It then treats most of the modern results about regularity of non-composite functional equations of several variables in a unified fashion. A long introduction highlights the basic ideas for beginners and several applications are also included.

Produktinformation

Utgivningsdatum:2005-03-03
Mått:155 x 235 x 25 mm
Vikt:729 g
Format:Inbunden
Språk:Engelska
Serie:Advances in Mathematics
Antal sidor:363
Upplaga:2005
Förlag:Springer-Verlag New York Inc.
ISBN:9780387244136

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

From the reviews of the first edition: "This book is a welcome addition to the functional equations literature. ... The author does a masterful job of organizing and summarizing the results of the last 50 years and weaving them together into a coherent general theory. There are over 200 references. The book is very carefully written ... . The author has certainly achieved his stated goal of making these results 'more accessible and easier to use for everyone working with functional equations.'" (Bruce Ebanks, Zentralblatt MATH, Vol. 1081, 2006)

Innehållsförteckning

Preliminaries.- Steinhaus Type Theorems.- Boundedness and Continuity of Solutions.- Differentiability and Analyticity.- Regularity Theorems on Manifolds.- Regularity Results with Fewer Variables.- Applications.