Coefficient estimates for Dirichlet series
HTML articles powered by AMS MathViewer
- by W. T. Sledd PDF
- Trans. Amer. Math. Soc. 150 (1970), 69-76 Request permission
References
- J. M. Anderson and K. G. Binmore, Coefficient estimates for lacunary power series and Dirichlet series. I, II, Proc. London Math. Soc. (3) 18 (1968), 36–48; 49–68. MR 223576, DOI 10.1112/plms/s3-18.1.36
- Dieter Gaier, On the coefficients and the growth of gap power series, SIAM J. Numer. Anal. 3 (1966), 248–265. MR 204653, DOI 10.1137/0703019
- Gábor Halász, Remarks to a paper of D. Gaier on gap theorems, Acta Sci. Math. (Szeged) 28 (1967), 311–322. MR 221147
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008 S. Mandelbrojt, Séries lacunaries, Paris, 1936. —, Séries adhérentes, régularisation des suites, applications, Gauthier-Villars, Paris, 1952. MR 14, 542.
- Walter Rudin, A converse to the high indices theorem, Proc. Amer. Math. Soc. 17 (1966), 434–435. MR 188662, DOI 10.1090/S0002-9939-1966-0188662-8
- Laurent Schwartz, Étude des sommes d’exponentielles réelles, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 959, Hermann & Cie, Paris, 1943 (French). MR 0014502
- F. Sunyer Balaguer, Approximation of functions by sums of exponentials, Collectanea Math. 5 (1952), 241–267 (Spanish). MR 60586
- F. Sunyer Balaguer, Approximation of functions by linear combinations of exponentials, Collect. Math. 17 (1965), 145–177 (Russian). MR 206595 E. C. Titchmarsh, Introduction to the theory of Fourier integrals, 2nd ed., Clarendon Press, Oxford, 1948. —, The theory of functions, Oxford Univ. Press, Oxford, 1952.
Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 150 (1970), 69-76
- MSC: Primary 40.20; Secondary 30.00
- DOI: https://doi.org/10.1090/S0002-9947-1970-0268564-4
- MathSciNet review: 0268564