Some theorems on lacunary Fourier series, with extensions to compact groups
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- by Edwin Hewitt and H. S. Zuckerman PDF
- Trans. Amer. Math. Soc. 93 (1959), 1-19 Request permission
References
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Stefan Banach, Théorie des opérations linéaires, Monografje Matematyczne, vol. I, Warszawa, 1932.
—, Über einige Eigenschaften der lakünaren trigonometrischen Reihen, Studia Math. vol. 2 (1930) pp. 207-220.
Sigurdur Helgason, Duality and Fourier analysis on compact groups, to appear.
Stefan Kaczmarz and Hugo Steinhaus, Theorie der Orthogonalreihen, Monografje Matematyczne, vol. VI, Warszawa-Lwów, 1935.
- S. Sidon, Über orthogonale Entwicklungen, Acta Univ. Szeged. Sect. Sci. Math. 10 (1943), 206–253 (German). MR 17415 —, Verallgemeinerung der in meiner Arbeit “Ein Satz über trigonometrische Polynome mit Lücken und seine Anwendung in der Theorie der Fourier-Reihen", J. Reine Angew. Math. vol. 163, bewiesene Sätze, vol. 166 (1931) pp. 62-63. AntoniZygmund, Trigonometrical series, Monografje Matematyczne, vol. V, Warszawa-Lwów, 1935.
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 93 (1959), 1-19
- MSC: Primary 42.00; Secondary 46.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0108685-5
- MathSciNet review: 0108685