Extension theorem of Whitney type for S(Rd+) by use of the Kernel theorem
2016 ◽
Vol 99
(113)
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pp. 59-65
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Keyword(s):
The One
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We study the expansions of the elements in S(Rd +) and S?(Rd +) with respect to the Laguerre orthonormal basis, extending the result of M. Guillemot-Teissier in the one dimensional case. As a consequence, we obtain Kernel theorem for S(Rd +) and S?(Rd +) and an extension theorem of Whitney type for S(Rd +).