English

Canonical sine and cosine Transforms For Integrable Boehmians

Classical Analysis and ODEs 2017-12-11 v1

Abstract

In this paper we define canonical sine and cosine transform, convolution operations, prove convolution theorems in space of integrable functions on real space. Further, obtain some results require to construct the spaces of integrable Boehmians then extend this canonical sine and canonical cosine transforms to space of integrable Boehmians and obtain their properties.

Cite

@article{arxiv.1712.03000,
  title  = {Canonical sine and cosine Transforms For Integrable Boehmians},
  author = {Pravinkumar V. Dole and S. K. Panchal},
  journal= {arXiv preprint arXiv:1712.03000},
  year   = {2017}
}

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27 pages