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Wavelet transform of generalized functions in K ′{M p } spaces

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Abstract

Using convolution theory in K{M p } space we obtain bounded results for the wavelet transform. Calderón-type reproducing formula is derived in distribution sense as an application of the same. An inversion formula for the wavelet transform of generalized functions is established.

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Acknowledgements

This work was supported by the DST (USERS) Scheme, Sanction No. 2084, to the first author (RSP) and the University Grants Commission, under the Dr. D. S. Kothari Post Doctoral Fellowship, Sanction No. F. 4-2/2006(BSR)/13- 663/2012, sanctioned to the second author (AS).

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Authors and Affiliations

  1. DST Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University, Varanasi, 221 005, India

    R S PATHAK & ABHISHEK SINGH

Authors
  1. R S PATHAK
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  2. ABHISHEK SINGH
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Correspondence to ABHISHEK SINGH.

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Communicating Editor: Parameswaran Sankaran

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PATHAK, R.S., SINGH, A. Wavelet transform of generalized functions in K ′{M p } spaces. Proc Math Sci 126, 213–226 (2016). https://doi.org/10.1007/s12044-016-0281-8

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  • DOI: https://doi.org/10.1007/s12044-016-0281-8

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