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...
محفوظ في:
المؤلفون الرئيسيون: | , , |
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مؤلفون آخرون: | |
التنسيق: | مقال |
اللغة: | English |
منشور في: |
2019
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الموضوعات: | |
الوصول للمادة أونلاين: | https://hdl.handle.net/10356/107595 http://hdl.handle.net/10220/50347 |
الوسوم: |
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المؤسسة: | Nanyang Technological University |
اللغة: | English |
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. |
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