Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. W. S. Cassels, An Introduction to Diophantine Approximation, Cambridge University Press, 1957.
K. de Leeuw and Y. Katznelson, On certain homomorphisms of quotients of group algebras, Israel J. Math. 2(1964), 120–126.
R. Doss, Elementary proof of a theorem of Helson, to appear.
S. W. Drury, Sur les ensembles de Sidon, C.R.A.S., Paris 271A(1970), 161–162.
H. Helson, Fourier transforms on perfect sets, Studia Math. 14(1954), 209–213.
C. S. Herz, Fourier transforms related to convex sets, Ann. Math. 75(1962), 81–92.
C. S. Herz, Drury's Lemma and Helson sets, to appear in Studia Math.
J.-P. Kahane, Sur les réarrangements des suites de coefficients de Fourier-Lebesgue, C.R.A.S. Paris, 265A(1967), 310–312.
J.-P. Kahane, Sur les réarrangements de fonctions de la classe A, Studia Math. 31(1968), 287–293.
J.-P. Kahane, Séries de Fourier Absolument Convergentes, Springer-Verlag, 1970.
J.-P. Kahane and R. Salem, Ensembles Parfaits et Séries Trigonométriques, Hermann, Paris, 1963.
T. W. Körner, Some results on Kronecker, Dirichlet and Helson sets II, to appear in J. d'Analyse.
D. Rider, Gap series on groups and spheres, Canad. J. Math. 18(1966), 389–397.
W. Rudin, Fourier-Stieltjes transforms of measures on independent sets, Bull. Am. Math. Soc. 66(1960), 199–202.
W. Rudin, Fourier Analysis on Groups, Interscience Publishers, New York, 1962.
J. D. Stegeman, Studies in Fourier and Tensor Algebras, Pressa Trajectina, Utrecht, 1971.
N. Th. Varopoulos, Sets of multiplicity in locally compact abelian groups, Ann.Inst. Fourier, Grenoble 16(1966), 123–158.
N. Th. Varopoulos, Sidon sets in Rn, Math. Scand. 27(1970), 39–49.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1972 Springer-Verlag
About this paper
Cite this paper
McGehee, O.C. (1972). Helson sets in Tn . In: Gulick, D., Lipsman, R.L. (eds) Conference on Harmonic Analysis. Lecture Notes in Mathematics, vol 266. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059647
Download citation
DOI: https://doi.org/10.1007/BFb0059647
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-05856-4
Online ISBN: 978-3-540-37479-4
eBook Packages: Springer Book Archive