Regularity Properties of Functional Equations in Several Variables: 8 (Advances in Mathematics) - Tapa blanda

Járai, Antal

 
9781441937407: Regularity Properties of Functional Equations in Several Variables: 8 (Advances in Mathematics)
Tapa blanda
ISBN 10: 1441937404 ISBN 13: 9781441937407
Editorial: Springer, 2010

Sinopsis

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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De la contraportada

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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Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
1441937404
ISBN 13 
9781441937407
Encuadernación
Tapa blanda
Número de páginas
376
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9780387244136: Regularity Properties of Functional Equations in Several Variables: 8 (Advances in Mathematics)

Edición Destacada

ISBN 10:  0387244131 ISBN 13:  9780387244136
Editorial: Springer, 2005
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