This collection of papers by leading researchers provides a broad picture of current research directions in index theory. Based on lectures presented at the NSF

4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2 Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250 Groupoid C* -Algebras 4. 3 256 4.

Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to ph

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory a

Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation t