WATSON WAVELET TRANSFORM: CONVOLUTION PRODUCT AND TWO-WAVELET MULTIPLIERS

被引：2
作者：
Upadhyay, Santosh Kumar [1 ]
Shukla, Pragya [1 ]
机构：
[1] Indian Inst Technol BHU, Dept Math Sci, Varanasi 221005, India
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 02期
关键词：
Pseudo-Differential Operators; Watson Transform; Convolution Operator; Continuous Watson Wavelet; Wavelet Multiplier; Unitary Representation; Sobolev Space; INTEGRAL-EQUATIONS;
D O I：
10.1142/S0218348X23400352
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, utilizing the theory of Watson transform and Watson convolution, we explore the Watson wavelet convolution product and its related properties. The relation between the Watson Wavelet convolution product and Watson convolution is also computed. Watson wavelet transform and its inversion formula are analyzed heuristically. Watson two-wavelet multipliers and its trace class are derived from Watson wavelet convolution product
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页数：15
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