Jordan algebras in analysis, operator theory, and quantum mechanics
著者
書誌事項
Jordan algebras in analysis, operator theory, and quantum mechanics
（Regional conference series in mathematics, no. 67）
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1987
- : pbk
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注記
"Lectures given at the CBMS-NSF Regional Conference at the University of California, Irvine, July 15-19, 1985."--Pref
Bibliography: p. 81-85
内容説明・目次
内容説明
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.
目次
$JB$-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.
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