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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer US : Imprint: Springer,
2005.
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| Edición: | 1st ed. 2005. |
| Colección: | Advances in Mathematics ;
8 |
| Temas: | |
| Acceso en línea: | Texto Completo |
| Sumario: | 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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| Descripción Física: | IX, 363 p. online resource. |
| ISBN: | 9780387244143 |