Lectures on Harmonic Analysis

✍ Scribed by Thomas Wolff; Izabella Laba; Carol Shubin

Publisher: American Mathematical Society
Year: 2003
Tongue: English
Leaves: 148
Series: University lecture series, 29
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This unique book is devoted to the detailed study of the recently discovered commutative C*-algebras of Toeplitz operators on the Bergman space over the unit disk. Surprisingly, the key point to understanding their structure and classifying them lies in the hyperbolic geometry of the unit disk. The book develops a number of important problems whose successful solution was made possible and is based on the specific features of the Toeplitz operators from these commutative algebras

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