A density theorem for lacunary Fourier series

Moeller, J. W.; Frederickson, P. O.

doi:10.1090/S0002-9904-1966-11427-1

Bulletin of the American Mathematical Society

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ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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A density theorem for lacunary Fourier series
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Bull. Amer. Math. Soc. 72 (1966), 82-86

References

Anri Kartan, Èlementarnaya teoriya analiticheskikh funktsiĭodnogo i neskol′kikh kompleksnykh peremennykh, Izdat. Inostr. Lit., Moscow, 1963 (Russian). MR 0220963
J.-P. Kahane, Lacunary Taylor and Fourier series, Bull. Amer. Math. Soc. 70 (1964), 199–213. MR 162919, DOI 10.1090/S0002-9904-1964-11080-6
Paul Koosis, Interior compact spaces of functions on a half-line, Comm. Pure Appl. Math. 10 (1957), 583–615. MR 93701, DOI 10.1002/cpa.3160100408
P. D. Lax, Remarks on the preceding paper, Comm. Pure Appl. Math. 10 (1957), 617–622. MR 93702, DOI 10.1002/cpa.3160100409
Peter D. Lax, Translation invariant spaces, Acta Math. 101 (1959), 163–178. MR 105620, DOI 10.1007/BF02559553
J. W. Moeller, On the extrapolation of lacunary Fourier series, J. Reine Angew. Math. 222 (1966), 136–141. MR 188690, DOI 10.1515/crll.1966.222.136

Additional Information

Journal: Bull. Amer. Math. Soc. 72 (1966), 82-86
DOI: https://doi.org/10.1090/S0002-9904-1966-11427-1
MathSciNet review: 0211189