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Addendum to “A Hilbert space of Dirichlet series and systems of dilated functions in $L^2 ({0,1})$”
Håkan Hedenmalm, Peter Lindqvist, and Kristian Seip
Source: Duke Math. J. Volume 99, Number 1
(1999), 175-178.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077227635
Mathematical Reviews number (MathSciNet): MR1700745
Zentralblatt MATH identifier: 0953.46015
Digital Object Identifier: doi:10.1215/S0012-7094-99-09907-6
References
[Ber] István Berkes, On the convergence of $\sum c\sb nf(nx)$ and the $\rm Lip\ 1/2$ class, Trans. Amer. Math. Soc. 349 (1997), no. 10, 4143–4158.
Mathematical Reviews (MathSciNet): MR97m:42007
Zentralblatt MATH: 0884.42005
Digital Object Identifier: doi:10.1090/S0002-9947-97-01837-0
JSTOR: links.jstor.org
[Bes] A. S. Besicovitch, Almost periodic functions, Dover Publications Inc., New York, 1955.
Mathematical Reviews (MathSciNet): MR16,817a
Zentralblatt MATH: 0065.07102
[B] Arne Beurling, The collected works of Arne Beurling. Vol. 2: Harmonic analysis, Contemporary Mathematicians, Birkhäuser Boston Inc., Boston, MA, 1989.
Mathematical Reviews (MathSciNet): MR92k:01046b
Zentralblatt MATH: 0732.01042
[Bo] D. G. Bourgin, A class of sequences of functions, Trans. Amer. Math. Soc. 60 (1946), 478–518.
Mathematical Reviews (MathSciNet): MR8,512f
Zentralblatt MATH: 0061.13404
Digital Object Identifier: doi:10.2307/1990351
JSTOR: links.jstor.org
[C] Lennart Carleson, On convergence and growth of partial sumas of Fourier series, Acta Math. 116 (1966), 135–157.
Mathematical Reviews (MathSciNet): MR33:7774
Zentralblatt MATH: 0144.06402
Digital Object Identifier: doi:10.1007/BF02392815
[CW] S. Chowla and A. Walfisz, Über eine Riemannsche Identität, Acta Arith. 1 (1936), 87–114.
[F] Charles Fefferman, On the convergence of multiple Fourier series, Bull. Amer. Math. Soc. 77 (1971), 744–745.
Mathematical Reviews (MathSciNet): MR55:8682
Zentralblatt MATH: 0234.42008
Digital Object Identifier: doi:10.1090/S0002-9904-1971-12793-3
Project Euclid: euclid.bams/1183533033
[G] V. F. Gapoškin, Convergence and divergence systems, Mat. Zametki 4 (1968), 253–260, (in Russian); English translation in Math. Notes 4 (1968), 645–649.
Mathematical Reviews (MathSciNet): MR38:1462
Zentralblatt MATH: 0177.32001
[GN] R. P. Gosselin and J. H. Neuwirth, On Paley-Wiener bases, J. Math. Mech. 18 (1968/69), 871–879.
Mathematical Reviews (MathSciNet): MR53:14000
Zentralblatt MATH: 0177.16502
[H] P. Hartman, On a class of arithmetical Fourier series, Amer. J. Math. 60 (1938), 66–74.
Zentralblatt MATH: 0018.14804
Mathematical Reviews (MathSciNet): MR1507302
Digital Object Identifier: doi:10.2307/2371543
JSTOR: links.jstor.org
[HLS] Hȧkan Hedenmalm, Peter Lindqvist, and Kristian Seip, A Hilbert space of Dirichlet series and systems of dilated functions in $L\sp 2(0,1)$, Duke Math. J. 86 (1997), no. 1, 1–37.
Mathematical Reviews (MathSciNet): MR99i:42033
Zentralblatt MATH: 0887.46008
Digital Object Identifier: doi:10.1215/S0012-7094-97-08601-4
Project Euclid: euclid.dmj/1077242495
[HS] H. Hedenmalm and E. Saksman, Carleson's convergence theorem for Dirichlet series, manuscript, 1999.
[NGN] J. H. Neuwirth, J. Ginsberg, and D. J. Newman, Approximation by $\f(kx)\$, J. Functional Analysis 5 (1970), 194–203.
Mathematical Reviews (MathSciNet): MR43:7827
Zentralblatt MATH: 0189.12902
Digital Object Identifier: doi:10.1016/0022-1236(70)90025-X
[R] B. Riemann, “Über die Darstellbarkeit einer Function durch eine trigonometrische Reihe”, Gesammelte mathematische Werke und wissenschaftlicher Nachlass, Habilitationsschrift, vol. 1854, Teubner, Leiptzig, 1892, pp. 227–265.
Zentralblatt MATH: 24.0021.04
[W1] A. Wintner, On a trigonometrical series of Rimeann, Amer. J. Math. 59 (1937), 629–634.
Zentralblatt MATH: 0016.39702
[W2] Aurel Wintner, Diophantine approximations and Hilbert's space, Amer. J. Math. 66 (1944), 564–578.
Mathematical Reviews (MathSciNet): MR6,172g
Zentralblatt MATH: 0061.24902
Digital Object Identifier: doi:10.2307/2371766
JSTOR: links.jstor.org
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