Regularity Properties of Functional Equations in Several Variables

Jarai, Antal

ISBN 10: 0387244131 / ISBN 13: 9780387244136

Editore: Springer-Verlag New York Inc., 2005

Talks about regularity properties of functional equations. This book contains the modern results about regularity of non-composite functional equations with several variables. These results show that 'weak' regularity properties of solutions imply that they are in C[infinity], and hence the equation can be reduced to a differential equation. Series: Advances in Mathematics. Num Pages: 363 pages, biography. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 22. Weight in Grams: 1550. . 2005. Hardback. . . . . Codice articolo V9780387244136

Riassunto:

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.

Dalla quarta di copertina: 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.

Dati bibliografici

Titolo: Regularity Properties of Functional ...
Casa editrice: Springer-Verlag New York Inc.
Data di pubblicazione: 2005
Legatura: Brossura
Condizione: New