International Journal of Mathematics and Mathematical Sciences 
Volume 8 (1985), Issue 2, Pages 345-354
doi:10.1155/S0161171285000357

The second continuous Jacobi transform

E. Y. Deeba1 and E. L. Koh2

 1Department of Applied Mathematical Sciences, University of Houston–Downtown, Houston 77002, Texas, USA
2Department of Mathematics and Statistics, University of Regina, Regina S4S 0A2, Canada
Received 14 February 1984

Abstract

This paper continues the work started in [1]; a second continuous Jacobi transform is defined for suitable functions f(x). Properties of the transform are studied. In particular, the first continuous Jacobi transform in [1] and the second continuous Jacobi transform are shown to be inverse to each other. The paper concludes with an extension of Campbell's sampling theorem [2].