Title
Generalization Of A Theorem Of Boas To A Class Of Integral Transforms
Keywords
Fourier Transformation; Singular Sturm-Liouville Problem; Weber transformation
Abstract
R. Boas obtained a characterization of the class of all square integrable functions vanishing on some interval of the form [−σ, σ] in terms of the behavior of its Fourier transform. An analogue of Boas’ theorem is obtained. A characterization of the image of the space of square integrable functions vanishing on some interval under various integral transformations is derived. The class of integral transformations considered is related to singular Sturm-Liouville boundary-value problems on a half line.
Publication Date
11-1-2000
Publication Title
Results in Mathematics
Volume
38
Issue
3-4
Number of Pages
362-376
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/BF03322017
Copyright Status
Unknown
Socpus ID
84971513373 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84971513373
STARS Citation
Tuan, V. Kim and Zayed, Ahmed I., "Generalization Of A Theorem Of Boas To A Class Of Integral Transforms" (2000). Scopus Export 2000s. 757.
https://stars.library.ucf.edu/scopus2000/757