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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Bibliographic Details
Main Authors: Richard D. Carmichael, R. S. Pathak
Format: Article
Language:English
Published: Wiley 1987-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171287000504
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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
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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