Subharmonic almost periodic functions of slow growth
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (2007) no. 1, pp. 109-127 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{JMAG_2007_3_1_a6,
     author = {S. Yu. Favorov and A. V. Rakhnin},
     title = {Subharmonic almost periodic functions of slow growth},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {109--127},
     year = {2007},
     volume = {3},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2007_3_1_a6/}
}
TY  - JOUR
AU  - S. Yu. Favorov
AU  - A. V. Rakhnin
TI  - Subharmonic almost periodic functions of slow growth
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2007
SP  - 109
EP  - 127
VL  - 3
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JMAG_2007_3_1_a6/
LA  - en
ID  - JMAG_2007_3_1_a6
ER  - 
%0 Journal Article
%A S. Yu. Favorov
%A A. V. Rakhnin
%T Subharmonic almost periodic functions of slow growth
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2007
%P 109-127
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2007_3_1_a6/
%G en
%F JMAG_2007_3_1_a6
S. Yu. Favorov; A. V. Rakhnin. Subharmonic almost periodic functions of slow growth. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (2007) no. 1, pp. 109-127. http://geodesic.mathdoc.fr/item/JMAG_2007_3_1_a6/

[1] V. S. Azarin, “Asymptotic Behavior of Subharmonic Functions of Finite Order”, Math. USSR Sb., 36 (1979), 135–154 (Russian) | DOI | MR | Zbl

[2] H. Bohr, “Zur Theorie der Fastperiodischen Funktionen. III: Dirichletentwicklung Analytischer Funktionen”, Acta Math., 47 (1926), 237–281 | DOI | MR | Zbl

[3] S. Yu. Favorov, A. Yu. Rashkovskii, L. I. Ronkin, “Almost Periodic Divisors in a Strip”, J. Anal. Math., 74 (1998), 325–345 | DOI | MR | Zbl

[4] S. Yu. Favorov, A. V. Rakhnin, “Subharmonic Almost Periodic Functions”, J. Math. Phys., Anal., Geom., 1 (2005), 209–224 | MR | Zbl

[5] S. Yu. Favorov, “Zeros of Holomorphic Almost Periodic Functions”, J. d'Analyse Math., 84 (2001), 51–66 | DOI | MR | Zbl

[6] S. Yu. Favorov, “Zero Sets of Entire Functions of Exponential Type with Some Conditions on Real Axis”, Algebra and Analiz (to appear) (Russian)

[7] B. N. Khabibullin, Completeness of Exponential systems and Uniquness Sets, Bushkir State Univ. Press, Ufa, 2006 (Russian)

[8] P. Koosis, The Logarithmic Integral, v. 1, Cambridge Univ. Press, Cambridge, 1988 | MR | Zbl

[9] M. G. Krein, B. Ja. Levin, “On Almost Periodic Functions of Exponential Type”, Dokl. AN USSR, 64:3 (1949), 285–287 (Russian) | MR

[10] B. Ya. Levin, Distribution of Zeros of Entire Functions, v. 5, AMS, Providence, RI, 1964

[11] L. I. Ronkin, “Almost Periodic Distributions and Divisors in Tube Domains”, Zap. Nauchn. Sem. POMI, 247 (1997), 210–236 (Russian) | MR | Zbl

[12] L. I. Ronkin, Introduction to the Theory of Entire Functions of Several Variables, Transl. Math. Monogr., 44, AMS, Providence, RI, 1974 | MR | Zbl

[13] H. Tornehave, Systems of Zeros of Holomorphic Almost Periodic Functions, Preprint No 30, Kobenhavns Univ. Mat. Inst., 1988, 52 pp.