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.

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In this paper we study the generalized Lambert transform introduced by Raina and Srivastava (Rev. Tecn. Fac. Ingr. Univ. Zulia, 18(3), 301-304, 1995) over Lebesgue spaces. We also extend this transform to Boehmian spaces.

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