Regularity Properties of Functional Equations in Several Variables

1. Auflage. Softcover version of original hardcover Auflage 2005
ISBN: 978-1-4419-3740-7
Verlag: Springer US

Buch, Englisch, Band 8, 363 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 569 g

Reihe: Advances in Mathematics

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.

Zielgruppe

This book is intended for researchers in the fields of mathematical analysis, applied mathematics, theoretical economics, and statistics.

Autoren/Hrsg.

Járai, Antal

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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