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Asymptotic behaviours of a class of integral transforms in complex domains

Published online by Cambridge University Press:  20 January 2009

R. S. Pathak  and
S. K. Mishra
R. S. Pathak
Affiliation:
Department of Mathematics, Banaras Hindu University, Varanasi 221 005, India
S. K. Mishra
Affiliation:
Department of Mathematics, Banaras Hindu University, Varanasi 221 005, India
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Zemanian [17] obtained abelian theorems for the Hankel and K-transforms of functions and then extended his results to the corresponding transforms of distributions in the sense of Schwartz [11]. Jones [6] has discussed at length asymptotic behaviours of transforms generalized in his sense. Following the technique of Zemanian many authors have obtained abelian theorems for more general transforms of functions and distributions in the sense of Schwartz. Mention may be made of the works of Joshi and Saxena [7], Lavoine and Misra [8] and Pathak [10]. However, these authors were confined to the transforms of real variables only.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 2 , June 1989 , pp. 231 - 247
Copyright
Copyright © Edinburgh Mathematical Society 1989

References

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