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On unions and intersections of sets of synthesis


Authors: T. K. Muraleedharan and K. Parthasarathy
Journal: Proc. Amer. Math. Soc. 123 (1995), 1213-1216
MSC: Primary 43A45; Secondary 43A46
DOI: https://doi.org/10.1090/S0002-9939-1995-1242096-1
MathSciNet review: 1242096
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Abstract | References | Similar Articles | Additional Information

Abstract: Local techniques introduced by Saeki and Stegeman are employed to give conditions for unions and finite intersections of S-sets to be S-sets.


References [Enhancements On Off] (What's this?)

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  • [2] S. Saeki, Spectral synthesis for Kronecker sets, J. Math. Soc. Japan 21 (1969), 549-563. MR 0254525 (40:7733)
  • [3] D. L. Salinger and J. D. Stegeman, Difference spectra of ideals for non-metrizable groups, J. London Math. Soc. (2) 26 (1982), 531-540. MR 684566 (84e:43007)
  • [4] J. D. Stegeman, Some problems on spectral synthesis, Proceedings, Harmonic Analysis (Iraklion, 1978), Lecture Notes in Math., vol. 781, Springer-Verlag, Berlin, 1980, pp. 194-203. MR 571507 (82a:43007)
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  • [6] C. R. Warner, A class of spectral sets, Proc. Amer. Math. Soc. 57 (1976), 99-102. MR 0410275 (53:14025)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1995-1242096-1
Keywords: S-set, C-set, difference spectrum
Article copyright: © Copyright 1995 American Mathematical Society

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