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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 |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer US : Imprint: Springer,
2005.
|
| Edición: | 1st ed. 2005. |
| Colección: | Advances in Mathematics ;
8 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-0-387-24414-3 | ||
| 003 | DE-He213 | ||
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| 008 | 100301s2005 xxu| s |||| 0|eng d | ||
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| 024 | 7 | |a 10.1007/b105379 |2 doi | |
| 050 | 4 | |a QA431 | |
| 072 | 7 | |a PBKJ |2 bicssc | |
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| 100 | 1 | |a Járai, Antal. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Regularity Properties of Functional Equations in Several Variables |h [electronic resource] / |c by Antal Járai. |
| 250 | |a 1st ed. 2005. | ||
| 264 | 1 | |a New York, NY : |b Springer US : |b Imprint: Springer, |c 2005. | |
| 300 | |a IX, 363 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Advances in Mathematics ; |v 8 | |
| 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. | |
| 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. | ||
| 650 | 0 | |a Difference equations. | |
| 650 | 0 | |a Functional equations. | |
| 650 | 1 | 4 | |a Difference and Functional Equations. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780387505077 |
| 776 | 0 | 8 | |i Printed edition: |z 9781441937407 |
| 776 | 0 | 8 | |i Printed edition: |z 9780387244136 |
| 830 | 0 | |a Advances in Mathematics ; |v 8 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/b105379 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||