Regularity Properties of Functional Equations in Several Variables

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 assump...

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Hovedforfatter: Járai, Antal
Format: Livre numérique
Sprog:Anglais
Udgivet: New York, NY : Springer US 2005.
Cham : Springer Nature
Serier:Advances in Mathematics 8
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Edition sous un autre format:• Regularity Properties of Functional Equations in Several Variables, Texte imprimé, 9780387244136
• Regularity Properties of Functional Equations in Several Variables, Texte imprimé, 9780387505077
• Regularity Properties of Functional Equations in Several Variables, Texte imprimé, 9781441937407
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245 1 0 |a Regularity Properties of Functional Equations in Several Variables   |c by Antal Járai. 
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490 0 |a Advances in Mathematics  |v 8 
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505 0 |a Preliminaries -- Steinhaus Type Theorems -- Boundedness and Continuity of Solutions -- Differentiability and Analyticity -- Regularity Theorems on Manifolds -- Regularity Results with Fewer Variables -- Applications. 
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506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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. 
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