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Eigenvalues of K -invariant Toeplitz Operators on Bounded Symmetric Domains
Integral Equations and Operator Theory ( IF 0.8 ) Pub Date : 2021-05-18 , DOI: 10.1007/s00020-021-02639-3 Harald Upmeier
中文翻译:
有界对称域上的K-不变Toeplitz算符的特征值
更新日期:2021-05-18
Integral Equations and Operator Theory ( IF 0.8 ) Pub Date : 2021-05-18 , DOI: 10.1007/s00020-021-02639-3 Harald Upmeier
We determine the eigenvalues of certain “fundamental” K-invariant Toeplitz type operators on weighted Bergman spaces over bounded symmetric domains \(D=G/K,\) for the irreducible K-types indexed by all partitions of length \(r={\mathrm {rank}}(D)\).
中文翻译:
有界对称域上的K-不变Toeplitz算符的特征值
我们确定某些“基本”的特征值ķ -invariant特普利茨型算加权Bergman空间上界对称域\(d = G / K,\)为不可约ķ -types通过长度的所有分区编制索引\(R = { \ mathrm {rank}}(D)\)。