International Journal of Mathematics and Mathematical Sciences 
Volume 10 (1987), Issue 3, Pages 417-431
doi:10.1155/S0161171287000504

Abelian theorems for Whittaker transforms

Richard D. Carmichael1 and R. S. Pathak2

 1Department of Mathematics and Computer Science, Wake Forest University, Winston-Salem 27109, North Carolina, USA
2Department of Mathematics, Banaras Hindu University, Varanasi 221005, India
Received 4 April 1986; Revised 29 October 1986

Abstract

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.