2019
DOI: 10.1002/mma.5576
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Wavelet transform associated with linear canonical Hankel transform

Abstract: The main goal of this paper is to study about the continuous as well as discrete wavelet transform in terms of linear canonical Hankel transform (LCH‐transform) and discuss some of its basic properties. Parseval's relation and reconstruction formula of continuous linear canonical Hankel wavelet transform (CLCH‐wavelet transform) is obtained. Moreover, semidiscrete and discrete LCH‐wavelet transform are also discussed.

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Cited by 16 publications
(13 citation statements)
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“…The unique chemical structure of surfactants enables them to form a variety of self-assembled structures including monolayers at the air-water interface and micelles, vesicles and bilayers in solution. The ability to form these complex nanostructures allows surfactants to be used in the production of novel pharmaceutical, food and personal care products, material recovery processes, and environmental remediation [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] . In all of these applications, the hydrophobic interior of the aggregate structures can be used to solubilise other slightly soluble nonpolar substances.…”
Section: Introductionmentioning
confidence: 99%
“…The unique chemical structure of surfactants enables them to form a variety of self-assembled structures including monolayers at the air-water interface and micelles, vesicles and bilayers in solution. The ability to form these complex nanostructures allows surfactants to be used in the production of novel pharmaceutical, food and personal care products, material recovery processes, and environmental remediation [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] . In all of these applications, the hydrophobic interior of the aggregate structures can be used to solubilise other slightly soluble nonpolar substances.…”
Section: Introductionmentioning
confidence: 99%
“…13,14 However, foam is a kind of instable thermodynamic system, and especially CO 2 foam is difficult to generate and less stable than N 2 foams due to relatively high solubility of CO 2 in water, which poses a great challenges to select CO 2 foaming agents. 15 Reservoirs with temperature up to 160 C and formation water salinity over 100 000 ppm are confronted in many oilelds over the world, so there is a practical industrial need to develop stable CO 2 foams for their application at high temperature and high pressure (HTHP) conditions. 16 The most commonly method for improving foam stability is addition of the so-called foam stabilizers to foam agent solutions.…”
Section: Introductionmentioning
confidence: 99%
“…6,15−18 The selection of the surfactant to be used depends on the reservoir conditions mentioned above. 3,16,17 In applications where it is required that the surfactant adsorbs onto the solid surface, the most common approach is to take advantage of the strong electrostatic interaction that can be established between the polar heads of the surfactants and the excess surface charge on the solid. 16 typically used for the treatment of carbonate formations 12,19−21 and cationic surfactants for the treatment of sandstones.…”
Section: ■ Introductionmentioning
confidence: 99%