On absolutely convergent exponential sums
HTML articles powered by AMS MathViewer
- by Leon Brown, Allen Shields and Karl Zeller
- Trans. Amer. Math. Soc. 96 (1960), 162-183
- DOI: https://doi.org/10.1090/S0002-9947-1960-0142763-8
- PDF | Request permission
References
- S. Banach, Théorie des opérations linéaires, Warszawa-Lwow, 1932.
L. Bieberbach, Lehrbuch der Funktionentheorie, vol. II, Leipzig-Berlin, 1927.
- Ralph Philip Boas Jr., Entire functions, Academic Press, Inc., New York, 1954. MR 0068627
- Mahlon M. Day, Normed linear spaces, Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0094675 A. Denjoy, Sur les singularités des séries de fractions rationnelles, Rend. Circ. Mat. Palermo vol. 50 (1926) pp. 1-95.
- A. Denjoy, Sur les séries de fractions rationnelles, Bull. Soc. Math. France 52 (1924), 418–434 (French). MR 1504854
- Tord Hall, On Polynomials Bounded at an Infinity of Points, University of Uppsala, Uppsala, 1950. Thesis,. MR 0035862
- S. Ya. Havinson, On some extremal problems of the theory of analytic functions, Moskov. Gos. Univ. Učenye Zapiski Matematika 148(4) (1951), 133–143 (Russian). MR 0049322
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373 E. Landau, Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie, 2d ed., 1929. B. Ya. Levin, Distribution of the roots of entire functions, Moscow, 1956 (Russian).
- A. J. Macintyre and W. W. Rogosinski, Extremum problems in the theory of analytic functions, Acta Math. 82 (1950), 275–325. MR 36314, DOI 10.1007/BF02398280
- S. N. Mergelyan, Uniform approximations of functions of a complex variable, Uspehi Matem. Nauk (N.S.) 7 (1952), no. 2(48), 31–122 (Russian). MR 0051921 R. Nevanlinna, Eindeutige analytische Funktionen, Berlin, 1936. I. I. Privaloff, Boundary properties of analytic functions, Moscow-Leningrad, 1950 (Russian); Deutscher Verlag der Wissenschaften, Berlin, 1956 (German translation).
- W. W. Rogosinski and H. S. Shapiro, On certain extremum problems for analytic functions, Acta Math. 90 (1953), 287–318. MR 59354, DOI 10.1007/BF02392438
- James E. Scroggs, Invariant subspaces of a normal operator, Duke Math. J. 26 (1959), 95–111. MR 102748
- A. E. Taylor, Banach spaces of functions analytic in the unit circle. II, Studia Math. 12 (1951), 25–50. MR 43377, DOI 10.4064/sm-12-1-25-50
- J. L. Walsh, Über die Entwicklung einer analytischen Funktion nach Polynomen, Math. Ann. 96 (1927), no. 1, 430–436 (German). MR 1512331, DOI 10.1007/BF01209179
- John Wermer, On invariant subspaces of normal operators, Proc. Amer. Math. Soc. 3 (1952), 270–277. MR 48700, DOI 10.1090/S0002-9939-1952-0048700-X J. Wolff, Sur les séries $\sum {{A_k}/(z - {\alpha _k})}$, C. R. Acad. Sci. Paris vol. 173 (1921) pp. 1057-1058, 1327-1328.
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 96 (1960), 162-183
- MSC: Primary 30.65
- DOI: https://doi.org/10.1090/S0002-9947-1960-0142763-8
- MathSciNet review: 0142763