Multipliers of trigonometric series and pointwise convergence
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- by N. M. Rivière and Y. Sagher
- Trans. Amer. Math. Soc. 140 (1969), 301-308
- DOI: https://doi.org/10.1090/S0002-9947-1969-0246043-X
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References
- A.-P. Calderón and A. Zygmund, Local properties of solutions of elliptic partial differential equations, Studia Math. 20 (1961), 171–225. MR 136849, DOI 10.4064/sm-20-2-181-225 J. J. Marcinkiewicz, Sur les multiplicateurs des series de Fourier, Studia Math. 8 (1939), 78-91. J. J. Marcinkiewicz and A. Zygmund, On the differentiability of functions and summability of trigonometric series, Fund. Math. 26 (1936), 1-43. A. Plessner, On conjugate trigonometric series, Dokl. Akad. Nauk SSSR 4 (1935), 235-238. (Russian) Y. Sagher, Hypersingular integrals with complex homogeneity, Ph.D. Thesis, Univ. of Chicago, 1967.
- M. Weiss, On symmetric derivatives in $L^{p}$, Studia Math. 24 (1964), 89–100. MR 162094, DOI 10.4064/sm-24-1-89-100
- Mary Weiss and Antoni Zygmund, On multipliers preserving convergence of trigonometric series almost everywhere, Studia Math. 30 (1968), 111–120. MR 234208, DOI 10.4064/sm-30-1-111-120 A. Zygmund, Über einige Sätze aus der Theorie der divergenten Reihen, Bull. Int. Acad. Polon. Sci. Lett. (1927), 309-331. —, Trigonometric series, Vols. I, II, 2nd ed., Cambridge Univ. Press, New York, 1959.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 140 (1969), 301-308
- MSC: Primary 42.20
- DOI: https://doi.org/10.1090/S0002-9947-1969-0246043-X
- MathSciNet review: 0246043