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Continuous generalized Hankel-Clifford wavelet transformation

V.R.L. Gorty1

Section:Research Paper, Product Type: Journal Paper
Volume-1 , Issue-4 , Page no. 1-10, Dec-2013

Online published on Dec 31, 2013

Copyright © V.R.L. Gorty . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: V.R.L. Gorty, “Continuous generalized Hankel-Clifford wavelet transformation,” International Journal of Computer Sciences and Engineering, Vol.1, Issue.4, pp.1-10, 2013.

MLA Style Citation: V.R.L. Gorty "Continuous generalized Hankel-Clifford wavelet transformation." International Journal of Computer Sciences and Engineering 1.4 (2013): 1-10.

APA Style Citation: V.R.L. Gorty, (2013). Continuous generalized Hankel-Clifford wavelet transformation. International Journal of Computer Sciences and Engineering, 1(4), 1-10.

BibTex Style Citation:
@article{Gorty_2013,
author = {V.R.L. Gorty},
title = {Continuous generalized Hankel-Clifford wavelet transformation},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {12 2013},
volume = {1},
Issue = {4},
month = {12},
year = {2013},
issn = {2347-2693},
pages = {1-10},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=25},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=25
TI - Continuous generalized Hankel-Clifford wavelet transformation
T2 - International Journal of Computer Sciences and Engineering
AU - V.R.L. Gorty
PY - 2013
DA - 2013/12/31
PB - IJCSE, Indore, INDIA
SP - 1-10
IS - 4
VL - 1
SN - 2347-2693
ER -

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Abstract

In this paper, the generalized Hankel-Clifford wavelet transformation is developed. Using the developed theory of generalized Hankel-Clifford convolution, the generalized Hankel-Clifford translation is introduced. Properties of the kernel D�,α,β(x,y,z) are developed in the study. Using the properties of kernel the generalized Hankel-Clifford wavelet transformation is defined. The existence of the generalized Hankel-Clifford wavelet transformation is given by a theorem. The boundedness and inversion formula for the generalized Hankel-Clifford wavelet transformation is obtained. A basic wavelet which defines continuous generalized Hankel-Clifford wavelet transformation, its admissibility conditions and the wavelet to the function is proved. Examples have been shown to explain the studied continuous generalized Hankel-Clifford wavelet transformation. MSC: 44A20, 42C40, 46

Key-Words / Index Term

Continuous Generalized Hankel-Clifford Wavelet Transformation, Generalized Hankel-Clifford Transformation, Generalized Hankel Convolution

References

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