Regularity Properties of Functional Equations in Several Variables

Antal Járai (Autor)

Buch | Hardcover

363 Seiten

2005 | 2005 ed.
Springer-Verlag New York Inc.
9780387244136 (ISBN)

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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.

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.

Preliminaries.- Steinhaus Type Theorems.- Boundedness and Continuity of Solutions.- Differentiability and Analyticity.- Regularity Theorems on Manifolds.- Regularity Results with Fewer Variables.- Applications.

Reihe/Serie	Advances in Mathematics ; 8
Zusatzinfo	IX, 363 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-13	9780387244136 / 9780387244136
Zustand	Neuware