Antal Járai

Regularity Properties of Functional Equations in Several Variables (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 363
• Erscheinungstermin: 30. März 2006
• Englisch
• ISBN-13: 9780387244143
• Artikelnr.: 37286930

Autorenporträt

Antal Járai, Eötvös Loránd University, Budapest, Hungary

Inhaltsangabe

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

Rezensionen

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)