A Class of Integral Operators and Bessel Plancherel Transform on Lα2
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
For the relation between Bessel Plancherel transform and a wide class of integral operators we establish some results generalizing the corresponding results for the cosine transform, given by Goldberg (1972) and Titchmarsh (1937).
Building on these results we obtain a new properties of certain well-known integral transforms associated with the eigenfunction of the Bessel differential operator defined on (0, ∞) by lαu=u′′+((2α+1)/x)u′, α>−1/2.
We also construct a class of integral operators which commute with Bessel Plancherel transform.
American Psychological Association (APA)
Dziri, M.. 2012. A Class of Integral Operators and Bessel Plancherel Transform on Lα2. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-994207
Modern Language Association (MLA)
Dziri, M.. A Class of Integral Operators and Bessel Plancherel Transform on Lα2. Journal of Function Spaces No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-994207
American Medical Association (AMA)
Dziri, M.. A Class of Integral Operators and Bessel Plancherel Transform on Lα2. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-994207
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994207
