@article{JMAG_2007_3_3_a4,
author = {S. Yu. Favorov and N. Girya},
title = {A multidimensional version of {Levin's} secular constant theorem and its applications},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {365--377},
year = {2007},
volume = {3},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2007_3_3_a4/}
}
TY - JOUR AU - S. Yu. Favorov AU - N. Girya TI - A multidimensional version of Levin's secular constant theorem and its applications JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2007 SP - 365 EP - 377 VL - 3 IS - 3 UR - http://geodesic.mathdoc.fr/item/JMAG_2007_3_3_a4/ LA - en ID - JMAG_2007_3_3_a4 ER -
S. Yu. Favorov; N. Girya. A multidimensional version of Levin's secular constant theorem and its applications. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (2007) no. 3, pp. 365-377. http://geodesic.mathdoc.fr/item/JMAG_2007_3_3_a4/
[1] A. S. Besicovitch, Almost Periodic Functions, Cambridge Univ. Press, Cambridge, 1932
[2] H. Bohr, “Zur Theorie der Fastperiodischen Funktionen. III: Teil. Dirichletentwicklung Analytischer Funktionen”, Acta Math., 47 (1926), 237–281 | DOI | MR | Zbl
[3] C. Corduneanu, Almost Periodic Functions, Interscience Publ., New York–London–Sydney–Toronto, 1968, a division of John Wiley | MR | Zbl
[4] S. Favorov, O. Udodova, “Almost Periodic Functions in Finite-Dimensional Space with the Spectrum in a Cone”, Mat. fiz., anal., geom., 9 (2002), 456–477 | MR
[5] S. Yu. Favorov, N. P. Girya, “The Asymptotic Properties of Almost Periodic Functions”, Mat. Stud., 25:2 (2006), 191–201 (Russian) | MR | Zbl
[6] Ph. Hartman, “Mean Motions and Almost Periodic Functions”, Trans. Amer. Math. Soc., 46 (1939), 64–81 | DOI | MR
[7] B. Jessen, H. Tornehave, “Mean Motions and Zeros of Almost Periodic Functions”, Acta Math., 77 (1945), 137–279 | DOI | MR | Zbl
[8] P. Koosis, The Logarithmic Integral, Cambrige Univ. Press, Cambrige, 1988 | MR | Zbl
[9] B. Ya. Levin, “On Secular Constant of Holomorpic Almost Periodic Function”, Dokl. AN USSR, 33 (1941), 182–184 (Russian)
[10] B. Ya. Levin, Distributions of Zeros of Entire Functions, v. 5, Amer. Math. Soc., Providence, RI, 1980 | MR
[11] L. I. Ronkin, “Jessen's Theorem for Holomorphic Almost Periodic Functions in Tube Domains”, Sib. Mat. Zh., 28:3 (1987), 199–204 (Russian) | MR | Zbl
[12] L. I. Ronkin, “On a Certain Class of Holomorphic Almost Periodic Functions”, Sib. Mat. Zh., 33 (1992), 135–141 (Russian) | DOI | MR | Zbl
[13] L. I. Ronkin, “CR-Functions and Holomorphic Almost Periodic Functions with Entire Base”, Mat. fiz., anal., geom., 4 (1997), 472–490 (Russian) | MR | Zbl
[14] L. I. Ronkin, Functions of Completely Regular Growth. Mathematics and its Appl., Soviet Ser., 81, Kluwer Acad. Publ., Dordrecht–Boston–London, 1992 | MR | Zbl