CBMS Regional Conference Series in Mathematics 1987; 85 pp; softcover Number: 67 ISBN10: 082180717X ISBN13: 9780821807170 List Price: US$24 Member Price: US$19.20 All Individuals: US$19.20 Order Code: CBMS/67
 This book is based on the CBMS Regional Conference held at the University of California, Irvine, in July 1985. Jordan algebras have found interesting applications in seemingly unrelated areas of mathematics such as operator theory, the foundations of quantum mechanics, complex analysis in finite and infinite dimensions, and harmonic analysis on homogeneous spaces. The author describes some relevant results and puts them in a general framework, based on the concepts of \(JB\)algebra and \(JB^\ast\)triple. Readership Table of Contents  \(JB\)algebras and \(JB^\ast\)triples
 Bounded symmetric domains and \(JB^\ast\)triples
 Siegel domains and Cayley transformations
 Geometry of Jordan structures and quantum mechanics
 Derivations and dynamical systems
 Kernel functions and harmonic analysis
 Harmonic functions and Hua operators
 Toeplitz operators and Toeplitz \(C^\ast\)algebras
 Index theory for multivariable Toeplitz operators
 Quantization of curved phase spaces
