Wavelet multiplier associated with the Watson transform

Pragya Shukla1, S. K. Upadhyay1
1Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, India

Tóm tắt

In this paper, the $$L^{p}$$ -boundedness, compactness and Hilbert–Schmidt class of wavelet multiplier associated with the Watson transform are investigated and its various properties studied. Landau–Pollak Slepian operator associated with the Watson transform is discussed as an application of wavelet multiplier. The relation between Watson wavelet multipliers and Sobolev space is given and trace class is introduced.

Tài liệu tham khảo

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