Measure and Integration Theory on Infinite-Dimensional Spaces

This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses

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 construc

Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It sta

This book gives a straightforward introduction to the field as it is nowadays required in many branches of analysis and especially in probability theory. The fi