Continuous Generalized Hankel-type integral wavelet transformation
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 3
Abstract
Using the theory of Hankel-type convolution, continuous generalized Hankel-type wavelet integral transformation is defined. The generalized Hankel-type integral 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,D μ,α, β ,v (x,y,z)the generalized Hankel-type wavelet transformation is defined. The existence of the generalized Hankel-type integral wavelet transformation is given by a theorem. The boundedness and inversion formula for the generalized Hankel-type integral wavelet transformation is obtained. A basic wavelet which defines continuous generalized Hankel-type integral 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 integral wavelet transformation.
Authors and Affiliations
Dr. V. R. Lakshmi Gorty
Keywords
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- EP ID EP651589
- DOI 10.24297/jam.v11i3.1272
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