Abelian theorems for Whittaker transforms
Initial and final value Abelian theorems for the Whittaker transform of functions and of distributions are obtained. The Abelian theorems are obtained as the complex variable of the transform approaches 0 or ∞ in absolute value inside a wedge region in the right half plane.
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Format: | Article |
Language: | English |
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Wiley
1987-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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Online Access: | http://dx.doi.org/10.1155/S0161171287000504 |
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_version_ | 1841524706987999232 |
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author | Richard D. Carmichael R. S. Pathak |
author_facet | Richard D. Carmichael R. S. Pathak |
author_sort | Richard D. Carmichael |
collection | DOAJ |
description | Initial and final value Abelian theorems for the Whittaker transform of functions and of distributions are obtained. The Abelian theorems are obtained as the complex variable of the transform approaches 0 or ∞ in absolute value inside a wedge region in the right half plane. |
format | Article |
id | doaj-art-0becc34f4f5848e49b945fcb2ac52192 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1987-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-0becc34f4f5848e49b945fcb2ac521922025-02-03T05:47:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110341743110.1155/S0161171287000504Abelian theorems for Whittaker transformsRichard D. Carmichael0R. S. Pathak1Department of Mathematics and Computer Science, Wake Forest University, Winston-Salem, North Carolina 27109, USADepartment of Mathematics, Banaras Hindu University, Varanasi 221005, IndiaInitial and final value Abelian theorems for the Whittaker transform of functions and of distributions are obtained. The Abelian theorems are obtained as the complex variable of the transform approaches 0 or ∞ in absolute value inside a wedge region in the right half plane.http://dx.doi.org/10.1155/S0161171287000504Abelian theoremsWhittaker transform of functions and distributions. |
spellingShingle | Richard D. Carmichael R. S. Pathak Abelian theorems for Whittaker transforms International Journal of Mathematics and Mathematical Sciences Abelian theorems Whittaker transform of functions and distributions. |
title | Abelian theorems for Whittaker transforms |
title_full | Abelian theorems for Whittaker transforms |
title_fullStr | Abelian theorems for Whittaker transforms |
title_full_unstemmed | Abelian theorems for Whittaker transforms |
title_short | Abelian theorems for Whittaker transforms |
title_sort | abelian theorems for whittaker transforms |
topic | Abelian theorems Whittaker transform of functions and distributions. |
url | http://dx.doi.org/10.1155/S0161171287000504 |
work_keys_str_mv | AT richarddcarmichael abeliantheoremsforwhittakertransforms AT rspathak abeliantheoremsforwhittakertransforms |