Continuous Generalized Hankel-type integral wavelet transformation | Zendy

V. R. Lakshmi Gorty | Zendy

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Continuous Generalized Hankel-type integral wavelet transformation

Author(s) -

V. R. Lakshmi Gorty

Publication year - 2015

Publication title -

journal of advances in mathematics

Language(s) - English

Resource type - Journals

ISSN - 2347-1921

DOI - 10.24297/jam.v11i3.1272

Subject(s) - mathematics , wavelet , hankel matrix , hankel transform , mathematical analysis , transformation (genetics) , convolution (computer science) , kernel (algebra) , type (biology) , pure mathematics , fourier transform , biochemistry , chemistry , artificial intelligence , machine learning , computer science , artificial neural network , gene , ecology , biology

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,Î±, 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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