Wavelet transforms associated with the index Whittaker transform. (21st April 2021)

• Record Type: Journal Article
• Authors: Prasad, Akhilesh; Maan, Jeetendrasingh; Verma, Sandeep Kumar
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 13(2021)
• Page Start: 10734
• Page End: 10752
• Publication Date: 2021-04-21
• Subjects: composition of wavelets -- convolution -- index Whittaker transform -- wavelets -- wavelet transform; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7440
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The continuous wavelet transform (CWT) associated with the index Whittaker transform is defined and discussed using its convolution theory. Existence theorem and reconstruction formula for CWT are obtained. Moreover, composition of CWT is discussed, and its Plancherel's and Parseval's relations are also derived. Further, the discrete version of this wavelet transform and its reconstruction formula are given. Furthermore, certain properties of the discrete Whittaker wavelet transform are discussed.