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2-complex Symmetric Weighted Composition Operators on Fock Space of CN 认领 引用
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作者 JIANG Zhijie 《数学进展》 CSCD 北大核心 2025年第1期37-49,共13页
The aim of the present paper is to study 2-complex symmetric bounded weighted composition operators on the Fock space of CN with the conjugations J and Jt,A,b defined by ■ respectively,where k(z1,...,z_N)=(... The aim of the present paper is to study 2-complex symmetric bounded weighted composition operators on the Fock space of CN with the conjugations J and Jt,A,b defined by ■ respectively,where k(z1,...,z_N)=(■,...,■),t∈C,b∈CN and A is a linear operator on CN.An example of 2-complex symmetric bounded weighted composition operator with the conjugation Jt,A,b is given. 展开更多
关键词 Fock space weighted composition operator 2-complex symmetric operator reproducing kernel function
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The Eigen Functions of the Complex Projective Space 认领 引用 被引量：1
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作者 Lu Qikeng Institute of Mathematics, Academia Sinica, Beijing 100080, China Institute of Mathematics, Shantou University, Shantou 515063, China 《Acta Mathematica Sinica,English Series》 SCIE 1998年第1期1-8,共8页
In the complex n-dimensional projective space CP^n. let λ_p(=4p(p+n)) be the eigen vaiue of the Laplace-Beltrami operator and H_p be the space of all eigen functions of eigen value λ_p. The reproducing kernel h_p(z,... In the complex n-dimensional projective space CP^n. let λ_p(=4p(p+n)) be the eigen vaiue of the Laplace-Beltrami operator and H_p be the space of all eigen functions of eigen value λ_p. The reproducing kernel h_p(z, w) of H_p is constructed explicitly in this paper. and a system of complete orthogohal functions of H_p is construncted from h_p(z, w)(p=1,2…). 展开更多
关键词 Complex projective space Reproducing kernel of eigen function
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