Periodic Tempered Distributions of Beurling Type and Periodic Ultradifferentiable Functions with Arbitrary Support
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Sohn, Byung Keun. 2018. Periodic Tempered Distributions of Beurling Type and Periodic Ultradifferentiable Functions with Arbitrary Support. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1173507
Modern Language Association (MLA)
Sohn, Byung Keun. Periodic Tempered Distributions of Beurling Type and Periodic Ultradifferentiable Functions with Arbitrary Support. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1173507
American Medical Association (AMA)
Sohn, Byung Keun. Periodic Tempered Distributions of Beurling Type and Periodic Ultradifferentiable Functions with Arbitrary Support. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1173507
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173507