WATSON WAVELET TRANSFORM: CONVOLUTION PRODUCT AND TWO-WAVELET MULTIPLIERS

Santosh Kumar Upadhyay and Pragya Shukla ()
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Santosh Kumar Upadhyay: Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221005, India
Pragya Shukla: Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221005, India

FRACTALS (fractals), 2023, vol. 31, issue 02, 1-15

Abstract: 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

Keywords: Pseudo-Differential Operators; Watson Transform; Convolution Operator; Continuous Watson Wavelet; Wavelet Multiplier; Unitary Representation; Sobolev Space (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400352

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