Continuous Generalized Hankel-Type Wavelet Transformation
V. R. Lakshmi Gorty · Universal Journal of Applied Mathematics · 2013
In this paper, the generalized Hankel-type wavelet transformation is developed. Using the developed theory of generalized Hankel-type convolution, the generalized Hankel-type translation is introduced. Properties of the kernel are developed in the study. Using the properties of kernel the generalized Hankel-type wavelet transformation is defined. The existence of the generalized Hankel-type wavelet transformation is given by a theorem. The boundedness and inversion formula for the generalized Hankel-type wavelet transformation is obtained. A basic wavelet which defines continuous generalized Hankel-type wavelet transformation, its admissibility conditions and the wavelet to the function is proved. Examples have been shown to explain the studied continuous generalized Hankel-type wavelet transformation.