ASYMPTOTIC EXPANSIONS FOR TOEPLITZ OPERATORS ON SYMMETRIC SPACES OF GENERAL TYPE

作者：Englis Miroslav^*; Upmeier Harald

来源：Transactions of the American Mathematical Society, 2015, 367(1): 423-476.

• Symmetric space
• symmetric domain
• Berezin quantization
• Toeplitz quantization
• Berezin transform

A general theory of Berezin-Toeplitz quantization for symmetric spaces is presented, with emphasis on representation-theoretic asymptotic expansions, which applies to spaces of compact and non-compact type, both in the classical setting of hermitian symmetric spaces and also for their real forms. The Berezin (or Wick type) calculus and its opposite "anti-Wick" type calculus are treated on an equal footing.

• 出版日期2015-1