On the range of the chébli-trimèche transform

Monatshefte fur Mathematik

Volumn 144, Issue 3, 2005, Pages 193-201

  Andersen, Nils Byrial ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Ch bli Trim che transform; Paley Wiener theorems; Schwartz spaces

Indexed keywords

EID: 15544367539     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00605-004-0256-1     Document Type: Article

References (10)

1. Andersen NB (2003) On real Paley-Wiener theorems for certain integral transforms. J Math Anal Appl 288: 124-135
2. Andersen NB (2003) Real Paley-Wiener theorems for the Hankel transform (submitted)
3. Bang HH (1990) A property of infinitely differentiable functions. Proc Amer Math Soc 108: 73-76
4. Betancor JJ, Betancor JD, Méndez JMR (2002) Paley-Wiener type theorems for Chébli-Trimèche transforms. Publ Math Debrecen 60: 347-358
5. Bloom WR, Xu Z (1998) Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups. Monatsh Math 125: 89-109
6. Chébli H (1974) Sur un théorème de Paley-Wiener associé à la décomposition spectrale d'un opérateur de Sturm-Liouville sur ]0, ∞[. J Funct Anal 17: 447-461
7. Rudin W (1991) Functional Analysis. New York: McGraw-Hill
8. Trimèche K (1981) Transformation intégrale de Weyl et théorème de Paley-Wiener associés à un opérateur différentiel singulier sur (0, ∞). J Math Pures Appl 60: 51-98
9. Triméche K (1997) Inversion of the Lions transmutation operators using generalized wavelets. Appl Comput Harmon Anal 4: 97-112
10. Tuan VK, Zayed AI (2002) Paley-Wiener-type theorems for a class of integral transforms. J Math Anal App 266: 200-226