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Watson Wavelet Transform: Convolution Product And Two-Wavelet Multipliers

Author

Listed:
  • 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)

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

Suggested Citation

  • Santosh Kumar Upadhyay & Pragya Shukla, 2023. "Watson Wavelet Transform: Convolution Product And Two-Wavelet Multipliers," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(02), pages 1-15.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:02:n:s0218348x23400352
    DOI: 10.1142/S0218348X23400352
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