Paley-Wiener-type theorems for a class of integral transforms

Journal of Mathematical Analysis and Applications

Volumn 266, Issue 1, 2002, Pages 200-226

  Tuan, Vu Kim ^a   Zayed, Ahmed I ^b  

^a KUWAIT UNIVERSITY   (Kuwait)

^b UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

Fourier transform; Hankel transform; Jacobi transfom; Kontorovich Lebedev transform; Paley Wiener theorem; Singular Sturm Liouville problems; Weber transform

Indexed keywords

EID: 0036469230     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2001.7740     Document Type: Article

References (24)

1. A property of infinitely differentiable functions
2. Functions with bounded spectrum
3. Paley-Wiener type theorems for a differential operator connected with symmetric spaces
4. A new proof of a Paley-Wiener type theorem for the Jacobi transform
5. "Eigenfunction Expansions"
6. "Sturm-Liouville and Dirac Operators"
7. "Fourier Transforms in the Complex Domain"
8. "Introduction to Fourier Analysis on Euclidean Spaces"
9. "Introduction to the Theory of Fourier Integrals"
10. "Eigenfunction Expansions Associated with Second-Order Differential Equations"
11. On the Paley-Wiener theorem
12. Supports of functions and integral transforms
13. On the range of the Y-transform
14. On the range of the Hankel and extended Hankel transforms
15. New type of Paley-Wiener theorems for the modified multidimensional Mellin transform
16. Airy integral transform and the Paley-Wiener theorem
17. Paley-Wiener- type theorems
18. On the supports of functions
19. "Function and Generalized Function Transformations"
20. On the inversion of integral transforms associated with Sturm-Liouville problems
21. The continuous (α,β)-transform and its inverse when α + β + 1 is a positive integer
22. On integral transforms whose kernels are solutions of singular Sturm-Liouville problems
23. Real singularities of Sturm-Liouville expansions