Spectral synthesis on the algebra of Hankel transforms

Yûichi KANJIN; Enji SATO

doi:10.2969/jmsj/03930499

Yûichi KANJIN, Enji SATO

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JOURNAL FREE ACCESS

1987 Volume 39 Issue 3 Pages 499-504

DOI https://doi.org/10.2969/jmsj/03930499

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Published: 1987 Received: March 06, 1986 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) F. Cazzaniga and C. Meaney, A local property of absolutely convergent Jacobi polynomial series, Tohoku Math. J., 34 (1982), 389-406.
2) A. Erdélyi et al., Higher transcendental functions, Vol. II, McGraw-Hill, New York, 1953.
3) A. Erdélyi et al., Tables of integral transforms, Vol. II, McGraw-Hill, New York, 1954.
4) C. S. Herz, Spectral synthesis for the circle, Ann. of Math., 68 (1958), 709-712.
5) S. Igari and Y. Uno, Banach algebra related to the Jacobi polynomials, Tohoku Math. J., 21 (1969), 668-673.
6) Y. Katznelson, An introduction to harmonic analysis, John Wiley and Sons, New York, 1968, reprint by Dover.
7) H. Reiter, Contributions to harmonic analysis IV, Math. Ann., 135 (1958), 467-476.
8) W. Rudin, Functional analysis, McGraw-Hill, New York, 1973.
9) A. Schwartz, The smoothness of Hankel transforms, J. Math. Anal. Appl., 28 (1969), 500-507.
10) A. Schwartz, The structure of the algebra of Hankel transforms and the algebra of Hankel-Stieltjes transforms, Canad. J. Math., 23 (1971), 236-246.
11) L. Schwartz, Sur une propriété de synthèse spectrale dans les groupes non compacts, C. R. Acad. Sci. Paris, 227 (1948), 424-426.
12) S. Wolfenstetter, Spectral synthesis on algebras of Jacobi polynomial series, Arch. Math., 43 (1984), 364-369.

Right : [1] F. Cazzaniga and C. Meaney, A local property of absolutely convergent Jacobi polynomial series, Tôhoku Math. J., 34 (1982), 389-406.
[2] A. Erdélyi et al., Higher transcendental functions, Vol. II, McGraw-Hill, New York, 1953.
[3] A. Erdélyi et al., Tables of integral transforms, Vol. II, McGraw-Hill, New York, 1954.
[4] C. S. Herz, Spectral synthesis for the circle, Ann. of Math., 68 (1958), 709-712.
[5] S. Igari and Y. Uno, Banach algebra related to the Jacobi polynomials, Tôhoku Math. J., 21 (1969), 668-673.
[6] Y. Katznelson, An introduction to harmonic analysis, John Wiley and Sons, New York, 1968, reprint by Dover.
[7] H. Reiter, Contributions to harmonic analysis IV, Math. Ann., 135 (1958), 467-476.
[8] W. Rudin, Functional analysis, McGraw-Hill, New York, 1973.
[9] A. Schwartz, The smoothness of Hankel transforms, J. Math. Anal. Appl., 28 (1969), 500-507.
[10] A. Schwartz, The structure of the algebra of Hankel transforms and the algebra of Hankel-Stieltjes transforms, Canad. J. Math., 23 (1971), 236-246.
[11] L. Schwartz, Sur une propriété de synthèse spectrale dans les groupes non compacts, C. R. Acad. Sci. Paris, 227 (1948), 424-426.
[12] S. Wolfenstetter, Spectral synthesis on algebras of Jacobi polynomial series, Arch. Math., 43 (1984), 364-369.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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