Note on Boehmians for Class of Optical Fresnel Wavelet Transforms
Joint Authors
al-Omari, S. K. Q.
Kiliçman, Adem
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We extend the Fresnel-wavelet transform to the context of generalized functions, namely, Boehmians.
At first, we study the Fresnel-wavelet transform in the sense of distributions of compact support.
Based on this concept, we introduce two new spaces of Boehmians and proving certain related results.
Further, we show that the extended transform establishes a linear and an isomorphic mapping between the Boehmian spaces.
Moreover, conditions of continuity of the extended transform and its inverse with respect to δ and Δ convergence are discussed in some details.
American Psychological Association (APA)
al-Omari, S. K. Q.& Kiliçman, Adem. 2012. Note on Boehmians for Class of Optical Fresnel Wavelet Transforms. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-469471
Modern Language Association (MLA)
al-Omari, S. K. Q.& Kiliçman, Adem. Note on Boehmians for Class of Optical Fresnel Wavelet Transforms. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-469471
American Medical Association (AMA)
al-Omari, S. K. Q.& Kiliçman, Adem. Note on Boehmians for Class of Optical Fresnel Wavelet Transforms. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-469471
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469471