International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 3, Pages 417-432
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
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.