Periodic Tempered Distributions of Beurling Type and Periodic Ultradifferentiable Functions with Arbitrary Support

Byung Keun Sohn

International Journal of Mathematics and Mathematical Sciences, 2018, vol. 2018, 1-8

Abstract:

Let be the space of tempered distributions of Beurling type with test function space and let be the space of ultradifferentiable functions with arbitrary support having a period . We show that is generated by . Also, we show that the mapping is linear, onto, and continuous and the mapping is linear and onto where is the subspace of having a period and is the dual space of .

Date: 2018
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2018/6563823.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2018/6563823.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:6563823

DOI: 10.1155/2018/6563823

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().