Entire functions of exponential type, increasing slowly along the real hyperplane. (English. Russian original) Zbl 0698.32001
J. Sov. Math. 49, No. 6, 1289-1290 (1990); translation from Teor. Funkts., Funkts. Anal. Prilozh. 50, 74-76 (1988).
See the review in Zbl 0678.32003.
MSC:
| 32A15 | Entire functions of several complex variables |
| 32A30 | Other generalizations of function theory of one complex variable |
| 30D15 | Special classes of entire functions of one complex variable and growth estimates |
Keywords:
entire function of exponential typeCitations:
Zbl 0678.32003References:
| [1] | M. L. Cartwright, ”On certain integral functions of order one,” Quart. J. Math.,7, 46–55 (1936). · JFM 62.0354.01 · doi:10.1093/qmath/os-7.1.46 |
| [2] | B. Ya. Levin, ”Subharmonic majorants and their applications,” in: Abstracts of Reports All-Union Conference on the Theory of Functions of a Complex Variable [in Russian], Kharkov (1971), pp. 111–113. |
| [3] | V. N. Logvinenko, ”On a certain multidimensional generalization of a theorem of M. Cartwright,” Dokl. Akad. Nauk SSSR,219, No. 3, 546–549 (1974). |
| [4] | M. Plancherel and G. Polya, ”Fonctions entières et intégrales de Fourier multiple,” Comment. Math. Helv.,9, 224–248 (1936/37). · Zbl 0016.36004 · doi:10.1007/BF01258191 |
| [5] | V. N. Logvinenko and Yu. F. Sereda, ”Equivalent norms in the space of entire functions of exponential type,” Teor. Funktsii Funktsional. Anal. i Prilozhen. (Kharkov), No. 20, 102–111 (1974). · Zbl 0312.46039 |
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