Titolo: Regularity Properties of Functional Equations in Several Variables (Advances in Mathematics, 8)
Editore: Springer
Data di pubblicazione: 2010
Lingua: Inglese
ISBN 10: 1441937404
ISBN 13: 9781441937407
Rilegatura: Brossura
Condizione: New

Descrizione articolo

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.

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