@article{CSHM_1992_2_2__51_0,
author = {K\"orner, Thomas W.},
title = {Sets of uniqueness},
journal = {Cahiers du s\'eminaire d'histoire des math\'ematiques},
pages = {51--63},
year = {1992},
publisher = {Institut Henri Poincar\'e, S\'eminaire d'histoire des math\'ematiques : Paris},
volume = {Ser. 2, 2},
mrnumber = {1187302},
zbl = {0824.43004},
language = {en},
url = {https://www.numdam.org/item/CSHM_1992_2_2__51_0/}
}
TY - JOUR AU - Körner, Thomas W. TI - Sets of uniqueness JO - Cahiers du séminaire d'histoire des mathématiques PY - 1992 SP - 51 EP - 63 VL - 2 PB - Institut Henri Poincaré, Séminaire d'histoire des mathématiques : Paris UR - https://www.numdam.org/item/CSHM_1992_2_2__51_0/ LA - en ID - CSHM_1992_2_2__51_0 ER -
Körner, Thomas W. Sets of uniqueness. Cahiers du séminaire d'histoire des mathématiques, Série 2, Tome 2 (1992), pp. 51-63. https://www.numdam.org/item/CSHM_1992_2_2__51_0/
[1] . Sur l'unicité du dévelloppement trigonométrique. CRASP, 177:62-118, 1923. | JFM
[2] . Sur le rôle des lois diophantiques dans le problème d'unicité du dévelloppement trigonométrique. Mat Sbornik, 2 (44):699-722, 1937. | Zbl
[3] . A Treatise on Trigonometric Series. Fizmatgiz, 1961. In Russian. An English translation was published by Pergamon in 1964. | Zbl | MR
[4] . Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Springer, 1932. | Zbl | MR
[5] . Georg Cantor. Harvard UP, 1979. | Zbl | MR
[6] . Sur la convergence des séries trigonométriques. Jour, für Math., 4, 1829. Reprinted in his Collected Works.
[7] . Nachrichten König. Ges. der Wiss. zu Gött., pages 571-82, 1873.
[8] and . Ensembles parfaits et séries trigonométriques. Hermann, 1963. | Zbl | MR
[9] . M-sets and distributions. Astérisque, 5:225-230, 1973. | Zbl | MR | Numdam
[10] . Fourier transforms and discriptive set theory. Mathematika, 31:336-339, 1984. | Zbl | MR
[11] and . Descriptive Set Theory and the Structure of Sets of Uniqueness. CUP, 1987. | Zbl | MR
[12] . A pseudofunction on a helson set i and ii. Astérisque, 5:3-224 and 231-239, 1973. | Zbl | MR | Numdam
[13] . Leçons sur les séries trigonométriques. Gauthier-Villars, 1906. | JFM
[14] . Impossibilité de la synthése spectrale sur les groupes abéliens non compacts. Publ. Math. IHES, pages 61-68, 1959. | Zbl | MR | Numdam
[15] . Ensembles de résolution spectrale. Proc. Internat. Congr. Math., pages 368-378, 1962. | Zbl | MR
[16] . The Fractal Geometry of Nature. W.H.Freeman, 1977. Extended version of Les Objects Fractals (Flammarion 1975). | Zbl | MR
[17] . Über die menge der differenzierbaren functionen. Fund. Math., 27:244-249, 1936. | Zbl
[18] . Sur l'unicité du dévelloppement trigonométrique. CRASP, 163:433-436, 1916. | JFM
On the fourier-stieljes coefficients of singular functions. Dokl. Akad. Nauk. SSSR (N.S.), 82:9-11, 1952. In Russian. There is an translation in the Amer. Math. Soc. Translation Séries. | Zbl | MR
[20] . Supplement to the work' on the problems of uniqueness of expansion of a function in trigonometric series'. Moscov. Gos. Univ. Uč. Zap., 165, Mat 7:79-97, 1954. In Russian. There is an translation in the Amer. Math. Soc. Translation Series. | MR
[21] . Sur l'unicité du dévelloppement trigonométrique. Fund Math, 3:286-302, 1922. | JFM
[22] . Habilitatsionschrift. Abh. der Ges. der Wiss. zu Gött., 13:87-132, 1868. Reprinted in his Collected Works.
[23] . Sets of uniqueness and sets of multiplicity. Trans AMS, 54:218-228, 1943. Only part of this paper is correct. Corrections appear on pages 595-598 of Trans AMS, vol 63 (1948). Or see Salem's Collected Works. | Zbl | MR
[24] and . Sur un théorème de piatetski-shapiro. CRASP, 240:2040-2042, 1954. | Zbl | MR
[25] Fourier-stieljes transforms of measures on independent sets. Bull. Amer. Math. Soc., 66:199-202, 1960. | Zbl | MR
[26] . A note on trigonometric series. Mess, for Maths., 38:44-48, 1909. | JFM
[27] . Trigonometric Series. CUP, 2nd edition, 1959.






