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Abstract
Wavelet packets in Sobolev space Hs (ℝ) are constructed and their orthogonal properties are derived. Using convolution transform theory, boundedness results for the wavelet packets are obtained in the Bp, ϰ (ℝ) space. Examples of wavelet packets in Sobolev space are given.
Acknowledgments
The authors are thankful to the referees for their valuable comments and suggestions.
Additional information
Funding
This work is supported by the Department of Science and Technology, Government of India, [grant number 2084].