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Regularity Properties of Functional Equations in Several Variables / by Antal Járai
(Advances in Mathematics ; 8)

Edition 1st ed. 2005.
Publisher New York, NY : Springer US : Imprint: Springer
Year 2005
Language English
Size IX, 363 p : online resource
Authors *Járai, Antal author
SpringerLink (Online service)
Subjects LCSH:Difference equations
LCSH:Functional equations
FREE:Difference and Functional Equations
Notes Preliminaries -- Steinhaus Type Theorems -- Boundedness and Continuity of Solutions -- Differentiability and Analyticity -- Regularity Theorems on Manifolds -- Regularity Results with Fewer Variables -- Applications
This book is about regularity properties of functional equations. In the second part of his fifth problem, Hilbert asked, concerning functional equations, "In how far are the assertions which we can make in the case of differentiable functions true under proper modifications without this assumption?” This book contains, in a unified fashion, most of the modern results about regularity of non-composite functional equations with several variables. These results show that "weak” regularity properties, say measurability or continuity, of solutions imply that they are in C[infinity], and hence the equation can be reduced to a differential equation. A long introduction highlights the basic ideas for beginners. Several applications are also included. Audience This book is intended for researchers in the fields of mathematical analysis, applied mathematics, theoretical economics, and statistics
HTTP:URL=https://doi.org/10.1007/b105379
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Springer eBooks 9780387244143
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EB00237551

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Material Type E-Book
Classification LCC:QA431
DC23:515,625
DC23:515.75
ID 4000134398
ISBN 9780387244143

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