×

On the integrability of Fourier-Jacobi transforms. (English) Zbl 0382.42009


MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Bavinck, H., A special class of Jacobi series and some applications, J. Math. Anal. Appl., 37, 767-797 (1972) · Zbl 0227.42007 · doi:10.1016/0022-247X(72)90254-5
[2] Erdélyi, A.; Magnus, W.; Oberhettinger, F.; Tricomi, F. G., Higher transcendental functions, Vol. I (1953), New York: McGraw-Hill, New York · Zbl 0051.30303
[3] Flensted-Jensen, M., Paley-Wiener type theorems for a differential operator connected with symmetric spaces, Ark. Mat., 10, 143-162 (1972) · Zbl 0233.42012 · doi:10.1007/BF02384806
[4] Flensted-Jensen, M.; Koornwinder, T., The convolution structure for Jacobi function expansions, Ark. Mat., 11, 245-262 (1973) · Zbl 0267.42009 · doi:10.1007/BF02388521
[5] Ganser, C., Modulus of continuity conditions for Jacobi series, J. Math. Anal. Appl., 27, 575-600 (1969) · Zbl 0181.07203 · doi:10.1016/0022-247X(69)90138-3
[6] Koornwinder, T., A new proof of a Paley-Wiener type theorem for the Jacobi transform, Ark. Mat., 13, 145-159 (1975) · Zbl 0303.42022 · doi:10.1007/BF02386203
[7] Luke, Y. L., The special functions and their approximations, Vol. I (1969), New York: Academic Press, New York · Zbl 0193.01701
[8] Schwartz, A. L., On the absolute integrability of Hankel transforms: An analog to Bernstein’s theorem, J. Math. Anal. Appl., 34, 202-213 (1971) · Zbl 0216.40102 · doi:10.1016/0022-247X(71)90169-7
[9] Zygmund, A., Trigonometric series, Vol. I (1959), Cambridge: Cambridge Univ. Press, Cambridge · JFM 58.0280.01
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.