The second continuous Jacobi transform. (1985)

• Record Type: Journal Article
• Authors: Deeba, E. Y.; Koh, E. L.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 8:Number 2(1985)
• Page Start: 345
• Page End: 354
• Publication Date: 1985
• Subjects: continuous Jocobi transform -- inverse Jacobi transform -- discrete Jacobi transform -- sampling theorem; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171285000357
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : This paper continues the work started in [1]; a second continuous Jacobi transform is defined for suitable functionsf ( 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].