Continuous Selections of Multivalued Mappings
Continuous Selections of Multivalued Mappings

Author: Dusan Repovs

Publisher: Springer Science & Business Media

Published: 1998-09-30

Total Pages: 372

ISBN-13: 0792352777

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Consists of three relatively independent parts--theory, results, and applications. The first part is directed toward advanced math students who wish to get familiar with the foundations of the theory. The second part surveys the existing results on continuous selections of multivalued mappings. It is intended for specialists in the area and for those who have mastered the first part. The third part collects examples of applications of continuous selections that have played a key role in the corresponding areas of mathematics. It is written for researchers in general and geometric topology, functional and convex analysis, approximation theory and fixed-point theory, differential inclusions, and mathematical economics. Annotation copyrighted by Book News, Inc., Portland, OR

Measures on Infinite Dimensional Spaces
Measures on Infinite Dimensional Spaces

Author: Yasuo Yamasaki

Publisher: World Scientific

Published: 1985

Total Pages: 276

ISBN-13: 9789971978525

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This book is based on lectures given at Yale and Kyoto Universities and provides a self-contained detailed exposition of the following subjects: 1) The construction of infinite dimensional measures, 2) Invariance and quasi-invariance of measures under translations. This book furnishes an important tool for the analysis of physical systems with infinite degrees of freedom (such as field theory, statistical physics and field dynamics) by providing material on the foundations of these problems.