On real Paley-Wiener theorems for certain integral transforms

Journal of Mathematical Analysis and Applications

Volumn 288, Issue 1, 2003, Pages 124-135

  Andersen, Nils Byrial ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Ch bli Trim che transform; Jacobi transform; Paley Wiener theorems

Indexed keywords

EID: 0348163865     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00585-7     Document Type: Article

References (7)

1. N.B. Andersen, Real Paley-Wiener theorems for the inverse Fourier transform on a Riemannian symmetric space, Pacific J. Math., submitted for publication.
2. W.R. Bloom, Z. Xu, Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups, Monatsh. Math. 125 (1998) 89-109.
3. A. Erdélyi, et al., Higher Transcendental Functions, Vol. I, McGraw-Hill, New York, 1953.
4. M. Flensted-Jensen, Paley-Wiener type theorems for a differential operator connected with symmetric spaces, Ark. Mat. 10 (1975) 143-165.
5. T.H. Koornwinder, A new proof of a Paley-Wiener type theorem for the Jacobi transform, Ark. Mat. 13 (1975) 145-159.
6. T.H. Koornwinder, Jacobi functions and analysis on noncompact semisimple groups, in: Special Functions: Group Theoretical Aspects and Applications, Reidel, 1984, pp. 1-84.
7. V.K. Tuan, A.I. Zayed, Paley-Wiener-type theorems for a class of integral transforms, J. Math. Anal. Appl. 266 (2002) 200-226.