Wavelet transforms associated with the index Whittaker transform
Copyright policy )Wavelet transforms associated with the index Whittaker transform
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.
Convolution as an integral transform, index Whittaker transform, Integral transforms of special functions, convolution, Nontrigonometric harmonic analysis involving wavelets and other special systems, composition of wavelets, wavelets, wavelet transform, Numerical methods for integral transforms
Convolution as an integral transform, index Whittaker transform, Integral transforms of special functions, convolution, Nontrigonometric harmonic analysis involving wavelets and other special systems, composition of wavelets, wavelets, wavelet transform, Numerical methods for integral transforms
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