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

Járai, Antal

 
9780387244136: Regularity Properties of Functional Equations in Several Variables: 8 (Advances in Mathematics)
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ISBN 10: 0387244131 ISBN 13: 9780387244136
Editorial: Springer, 2005

Sinopsis

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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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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2005
Idioma
Inglés
ISBN 10 
0387244131
ISBN 13 
9780387244136
Encuadernación
Tapa dura
Número de páginas
376
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
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Otras ediciones populares con el mismo título

9781441937407: Regularity Properties of Functional Equations in Several Variables: 8 (Advances in Mathematics)

Edición Destacada

ISBN 10:  1441937404 ISBN 13:  9781441937407
Editorial: Springer, 2010
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