Representing systems generated by reproducing kernels

In this paper, we study the representing and absolutely representing systems in the context of reproducing kernel Hilbert spaces. We prove in particular that, in many classical spaces including weighted Hardy and Dirichlet spaces and de Branges–Rovnyak spaces, there cannot exist absolutely represent...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Fricain, Emmanuel, Khoi, Le Hai, Lefèvre, Pascal
مؤلفون آخرون: School of Physical and Mathematical Sciences
التنسيق: مقال
اللغة:English
منشور في: 2019
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/10356/107595
http://hdl.handle.net/10220/50347
الوسوم: إضافة وسم
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المؤسسة: Nanyang Technological University
اللغة: English
الوصف
الملخص:In this paper, we study the representing and absolutely representing systems in the context of reproducing kernel Hilbert spaces. We prove in particular that, in many classical spaces including weighted Hardy and Dirichlet spaces and de Branges–Rovnyak spaces, there cannot exist absolutely representing systems of reproducing kernels.