periodic tempered distributions of beurling type and periodic ultradifferentiable functions with arbitrary support
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2018
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Abstract
Let Sω′(R) be the space of tempered distributions of Beurling type with test function space Sω(R) and let Eω,p be the space of ultradifferentiable functions with arbitrary support having a period p. We show that Eω,p is generated by Sω(R). Also, we show that the mapping Sω(R)→Eω,p is linear, onto, and continuous and the mapping Sω,p′(R)→Eω,p′ is linear and onto where Sω,p′(R) is the subspace of Sω′(R) having a period p and Eω,p′ is the dual space of Eω,p.
| Reference Key |
sohn2018internationalperiodic
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|---|---|
| Authors | ;Byung Keun Sohn |
| Journal | structural engineering and mechanics |
| Year | 2018 |
| DOI |
10.1155/2018/6563823
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| URL | |
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