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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 5
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Articles

Wavelet packets in Sobolev space

R.S. PathakDST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi221005, India.View further author information
&
Manish KumarDST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi221005, India.Correspondence[email protected]
View further author information
Pages 1068-1084 | Received 03 Jan 2014, Accepted 05 Apr 2014, Published online: 19 May 2014
 
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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].

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