This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.This monograph is intended as a convenient reference for researchers and graduate students in geometric analysis, infinite dimensional holomorphy as well as functional analysis and operator theory.
- ISBN:
- 9789811214127
- 9789811214127
-
Category:
- Analytic geometry
- Format:
- Epub (Kobo), Epub (Adobe)
- Publication Date:
-
10-09-2020
- Language:
- English
- Publisher:
- World Scientific Publishing Company
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