A two-volume advanced text for graduate students. This first volume covers the theory of Fourier analysis.

This book presents the fundamental function spaces and their duals, explores operator theory and finally develops the theory of distributions up to significant applications ...

This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems ...

Functional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such ...

This well-written book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics. It treats various practical methods for solving problems ...

Publisher description

This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic knowledge of real analysis and linear ...