A realization theorem for generalized Nevanlinna families

A realization theorem for generalized Nevanlinna families
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广义Nevanlinna族的实现定理

DOI:
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
H. Snoo
H. Snoo
中科院分区:
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文献类型:
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作者:
J. Behrndt;V. Derkach;S. Hassi;H. Snoo

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研究了 Pontryagin 空间中对称关系的边界关系,并表征了相应的 Weyl 族。特别是,它表明每个广义 Nevanlinna 族都可以实现为 Pontryagin 空间中边界关系的 Weyl 族。数学学科分类(2010):46C20; 46E22; 47B50,次级:47A48; 47B32。
Boundary relations for a symmetric relation in a Pontryagin space are studied and the corresponding Weyl families are characterized. In particular, it is shown that every generalized Nevanlinna family can be realized as the Weyl family of a boundary relation in a Pontryagin space. Mathematics subject classification (2010): 46C20; 46E22; 47B50, Secondary: 47A48; 47B32.