previous :: next
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 86, Number 1
(1997), 1-37.
First Page:
Show
Hide
Related Works:
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077242495
Mathematical Reviews number (MathSciNet): MR1427844
Zentralblatt MATH identifier: 0887.46008
Digital Object Identifier: doi:10.1215/S0012-7094-97-08601-4
References
[1] A. Beurling, The Collected Works of Arne Beurling, Vol. 2: Harmonic Analysis, Contemp. Math., Birkhäuser, Boston, 1989.
Mathematical Reviews (MathSciNet): MR92k:01046b
Zentralblatt MATH: 0732.01042
[2] H. F. Bohnenblust and E. Hille, On the absolute convergence of Dirichlet series, Ann. of Math. 32 (1931), 600–622.
Zentralblatt MATH: 0001.26901
[3] H. Bohr, Über die gleichmässige Konvergenz Dirichletscher Reihen, J. Reine Angew. Math. 143 (1913), 203–211.
Zentralblatt MATH: 44.0307.01
[4] H. Bohr, Über die Bedeutung der Potenzreihen unendlich vieler Variabeln in der Theorie der Dirichletschen reihen $\suma_n/n^s$, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. (1913), 441–488.
Zentralblatt MATH: 44.0306.01
[5] H. Bohr, Collected Mathematical Works, Danish Math. Soc., Copenhagen, 1952.
[6] L. 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
[7] F. Carlson, Contributions à la théorie des séries de Dirichlet, Note I, Ark. Mat. 16 (1922), no. 18, 1–19.
Zentralblatt MATH: 48.0338.02
[8] B. Cole and T. Gamelin, Representing measures and Hardy spaces for the infinite polydisk algebra, Proc. London Math. Soc. (3) 53 (1986), no. 1, 112–142.
Mathematical Reviews (MathSciNet): MR87j:46102
Zentralblatt MATH: 0624.46032
Digital Object Identifier: doi:10.1112/plms/s3-53.1.112
[9] I. P. Cornfeld, S. V. Fomin, and Ya. G. Sinai, Ergodic Theory, Grundlehren Math. Wiss., vol. 245, Springer-Verlag, New York, 1982.
Mathematical Reviews (MathSciNet): MR87f:28019
Zentralblatt MATH: 0493.28007
[10] H. M. Edwards, Riemann's Zeta Function, Pure Appl. Math., vol. 58, Academic Press, New York-London, 1974.
Mathematical Reviews (MathSciNet): MR57:5922
Zentralblatt MATH: 0315.10035
[11] B. V. Gnedenko, The Theory of Probability, 4th ed., Translated from the fourth Russian edition by B. D. Seckler, Chelsea Publishing Co., New York, 1967.
Mathematical Reviews (MathSciNet): MR36:913
[12] G. H. Hardy and M. Riesz, The General Theory of Dirichlet's Series, Cambridge University Press, Cambridge, 1915.
Zentralblatt MATH: 45.0387.03
[13] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 3rd ed., Clarendon Press, Oxford, 1954.
Mathematical Reviews (MathSciNet): MR16,673c
Zentralblatt MATH: 0058.03301
[14] H. Helson, Compact groups with ordered duals, Proc. London Math. Soc. (3) 14a (1965), 144–156.
Mathematical Reviews (MathSciNet): MR34:4824
Zentralblatt MATH: 0142.10401
Digital Object Identifier: doi:10.1112/plms/s3-14A.1.144
[15] H. Helson, Foundations of the theory of Dirichlet series, Acta Math. 118 (1967), 61–77.
Mathematical Reviews (MathSciNet): MR35:5944
Zentralblatt MATH: 0171.11902
Digital Object Identifier: doi:10.1007/BF02392476
[16] H. Helson, Compact groups and Dirichlet series, Ark. Mat. 8 (1969), 139–143.
Mathematical Reviews (MathSciNet): MR44:3075
Zentralblatt MATH: 0199.46601
Digital Object Identifier: doi:10.1007/BF02589554
[17] D. Hilbert, Wesen und Ziele einer Analysis der unendlich vielen unabhängigen Variablen, Rend. Circ. Mat. Palermo 27 (1909), 59–74.
Zentralblatt MATH: 40.0391.02
[18] J.-P. Kahane, Sur les séries de Dirichlet $\sum \sp\infty \sb1\pm n\sp-s$, C. R. Acad. Sci. Paris Sér. A-B 276 (1973), A739–A742.
Mathematical Reviews (MathSciNet): MR47:7011
Zentralblatt MATH: 0252.30007
[19] E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, 2nd ed., Teubner, Leipzig, 1909, reprinted by Chelsea Publishing Co., New York, 1953.
Zentralblatt MATH: 40.0232.09
Mathematical Reviews (MathSciNet): MR68565
[20] W. Schnee, Zum Konvergensproblem der Dirichletschen Reihen, Math. Ann. 66 (1909), 337–349.
Zentralblatt MATH: 39.0243.01
[21] R. M. Young, An Introduction to Nonharmonic Fourier Series, Pure Appl. Math., vol. 93, Academic Press, New York, 1980.
Mathematical Reviews (MathSciNet): MR81m:42027
Zentralblatt MATH: 0493.42001
previous :: next
Duke Mathematical Journal