VECTOR VALUED REPRODUCING KERNEL HILBERT SPACES OF INTEGRABLE FUNCTIONS AND MERCER THEOREM
2006 ◽
Vol 04
(04)
◽
pp. 377-408
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Keyword(s):
We characterize the reproducing kernel Hilbert spaces whose elements are p-integrable functions in terms of the boundedness of the integral operator whose kernel is the reproducing kernel. Moreover, for p = 2, we show that the spectral decomposition of this integral operator gives a complete description of the reproducing kernel, extending the Mercer theorem.
2010 ◽
Vol 08
(01)
◽
pp. 19-61
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2010 ◽
Vol 37
(1)
◽
pp. 49-65
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2017 ◽
Vol 273
(12)
◽
pp. 3671-3718
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2018 ◽
Vol 466
(2)
◽
pp. 1337-1358
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2021 ◽
Vol 500
(1)
◽
pp. 125107
2002 ◽
Vol 35
(1)
◽
pp. 103-108
◽
2013 ◽
Vol 11
(05)
◽
pp. 1350020
◽