Extension theorem of Whitney type for S(Rd+) by use of the Kernel theorem | Zendy

Smiljana Jakšić | Zendy; Bojan Prangoski | Zendy

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Extension theorem of Whitney type for S(Rd+) by use of the Kernel theorem

Author(s) -

Smiljana Jakšić,

Bojan Prangoski

Publication year - 2016

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1613059j

Subject(s) - mathematics , orthonormal basis , extension (predicate logic) , kernel (algebra) , type (biology) , laguerre polynomials , pure mathematics , discrete mathematics , combinatorics , physics , computer science , ecology , quantum mechanics , biology , programming language

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 +). [Projekat Ministarstva nauke Republike Srbije, br. 174024]

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