An asymptotic expansion of continuous Wavelet transform for large dilation parameter
In this paper , we derive asymptotic expansion of the wavelet transform for large values of the dilation parameter a by using Lopez and Pagola technique. Asymptotic expansion of Mexican Hat wavelet and Morlet wavelet transform are obtained as a special cases.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2018-07-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31221 |
| _version_ | 1797633494794371072 |
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| author | Ashish Pathak Prabhat Yadav M. M. Dixit |
| author_facet | Ashish Pathak Prabhat Yadav M. M. Dixit |
| author_sort | Ashish Pathak |
| collection | DOAJ |
| description | In this paper , we derive asymptotic expansion of the wavelet transform for large values of the dilation parameter a by using Lopez and Pagola technique. Asymptotic expansion of Mexican Hat wavelet and Morlet wavelet transform are obtained as a special cases.
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| first_indexed | 2024-03-11T11:54:49Z |
| format | Article |
| id | doaj.art-6ed7d48f959641329b17ac6d4676f093 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:49Z |
| publishDate | 2018-07-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-6ed7d48f959641329b17ac6d4676f0932023-11-08T20:10:18ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882018-07-0136310.5269/bspm.v36i3.3122115669An asymptotic expansion of continuous Wavelet transform for large dilation parameterAshish Pathak0Prabhat Yadav1M. M. Dixit2Banaras Hindu UniversityNERISTNERISTIn this paper , we derive asymptotic expansion of the wavelet transform for large values of the dilation parameter a by using Lopez and Pagola technique. Asymptotic expansion of Mexican Hat wavelet and Morlet wavelet transform are obtained as a special cases. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31221Asymptotic expansionWavelet transformFourier transformMellin transform |
| spellingShingle | Ashish Pathak Prabhat Yadav M. M. Dixit An asymptotic expansion of continuous Wavelet transform for large dilation parameter Boletim da Sociedade Paranaense de Matemática Asymptotic expansion Wavelet transform Fourier transform Mellin transform |
| title | An asymptotic expansion of continuous Wavelet transform for large dilation parameter |
| title_full | An asymptotic expansion of continuous Wavelet transform for large dilation parameter |
| title_fullStr | An asymptotic expansion of continuous Wavelet transform for large dilation parameter |
| title_full_unstemmed | An asymptotic expansion of continuous Wavelet transform for large dilation parameter |
| title_short | An asymptotic expansion of continuous Wavelet transform for large dilation parameter |
| title_sort | asymptotic expansion of continuous wavelet transform for large dilation parameter |
| topic | Asymptotic expansion Wavelet transform Fourier transform Mellin transform |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31221 |
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