A Pseudofunction on a Helson Set. I

Körner, Thomas W.

Pseudofunctions and Helson Sets, Astérisque, no. 5 (1973), pp. 3-224.

partie suivante A pseudofunction on a Helson set. II.

MR Zbl | 4 citations dans Numdam

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     title = {A {Pseudofunction} on a {Helson} {Set.} {I}},
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     pages = {3--224},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {5},
     year = {1973},
     mrnumber = {404974},
     zbl = {0281.43004},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1973__5__3_0/}
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Körner, Thomas W. A Pseudofunction on a Helson Set. I, dans Pseudofunctions and Helson Sets, Astérisque, no. 5 (1973), pp. 3-224. http://archive.numdam.org/item/AST_1973__5__3_0/

Bibliographie
Cité par

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[11] Körner, T. W. Some results on Kronecker, Dirichlet and Helson sets II. To appear in Journal d'Analyse, Jerusalem. | MR | Zbl

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Piatecki Shapiro The original proof is in "On the uniqueness problem of the expansion of functions into a trigonometric series" together with a supplement (in Russian) in U.Z.M., n° 165, Matematika 7, 79-97.

There exists an exposition in English by O. C. Mcgehee "An account of a result of Piatecki-Shapiro" mimeographed 1967 Depart. of Math. U. C. Berkeley.

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[A1] Bary, N. K. A treatise on trigonometric series. Vol. 1, 2 (English Translation). Pergamon Press, Oxford, 1964. | MR | Zbl

[A2] Kahane, J.-P. Séries de Fourier absolument convergentes. Springer Verlag, Berlin, 1970. | MR | Zbl

[A3] Kahane, J.-P. et Salem, R. Ensembles parfaits et séries trigonométriques. Hermann, Paris, 1970. | Zbl

[A4] Körner, T. W. Some results on Kronecker Dirichlet and Helson sets. Ann. Inst. Fourier XX, Fasc. 2 (1970), 219-326. | DOI | EuDML | Numdam | MR | Zbl

[A5] Körner, T. W. Some results on Kronecker Dirichlet and Helson Sets. II. To appear : Journal d'Analyse Mathématique (Jérusalem). | MR | Zbl

[A6] Körner, T. W. Sur les ensembles $A A^{+}$ et les ensembles pics. C. R. A. S. Paris 274 A (1972), 1718-1721. | MR | Zbl

[A7] Körner, T. W. The present paper.

[A8] Körner, T. W. Unpublished results mostly to be written up under the title (possibly) "Thin sets for absolutely convergent Taylor series".

[A9] Lindahl, L. Å. and Poulsen, F. (Editors) Thin sets in harmonic analysis. New York, Marcel Dekker 1971. | Zbl

[A10] Meyer, Y. Algebraic numbers and harmonic analysis. North Holland, Amsterdam 1970.

[A11] Varopoulos, N. Th. Groups of continuous functions in harmonic analysis. Acta Math. 125 (1970), 109-157. | DOI | Zbl