A Theory of Summability on a Space of Generalized Functions
Joint Authors
Khan, Khaula Naeem
Lamb, Wilson
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-07
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A theory of summability of orthonormal sets is introduced in multinormed spaces.
The approach which is presented caters for infinite sets {ϕj}j∈J, where the index set J may be uncountable, and is applied to obtain convergence results in appropriate spaces of test functions and corresponding spaces of generalized functions.
These spaces are constructed in a systematic manner that relies heavily on properties of orthonormal bases in Hilbert spaces.
A space of almost-periodic generalized functions, in which each generalized function can be expanded in terms of an uncountable basis of exponential functions, is obtained as a special case of our theory.
American Psychological Association (APA)
Khan, Khaula Naeem& Lamb, Wilson. 2013. A Theory of Summability on a Space of Generalized Functions. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006072
Modern Language Association (MLA)
Khan, Khaula Naeem& Lamb, Wilson. A Theory of Summability on a Space of Generalized Functions. Journal of Function Spaces No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1006072
American Medical Association (AMA)
Khan, Khaula Naeem& Lamb, Wilson. A Theory of Summability on a Space of Generalized Functions. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006072
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006072