Continuous Generalized Hankel-type integral wavelet transformation

Authors

  • Dr. V. R. Lakshmi Gorty SVKM's NMIMS UNiversity, Vile Parle (W) Mumbai-400056 India

DOI:

https://doi.org/10.24297/jam.v11i3.1272

Keywords:

Continuous generalized Hankel-type integral wavelet transformation, generalized Hankel-type transformation, Hankel-type Convolution.

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 Î¼,α, Î² ,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.

 

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Author Biography

Dr. V. R. Lakshmi Gorty, SVKM's NMIMS UNiversity, Vile Parle (W) Mumbai-400056 India

Basic Science and Humanities

Head, Associate Professor

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Published

2015-09-09

How to Cite

Gorty, D. V. R. L. (2015). Continuous Generalized Hankel-type integral wavelet transformation. JOURNAL OF ADVANCES IN MATHEMATICS, 11(3), 5050–5058. https://doi.org/10.24297/jam.v11i3.1272

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