Almost periodic discrete sets
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 1, pp. 34-47 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We study the almost periodic discrete sets in $\mathbb R^k$. Also, we show the connection between these sets and almost periodic measures and calculate their Fourier transform.
@article{JMAG_2010_6_1_a2,
     author = {S. Favorov and Ye. Kolbasina},
     title = {Almost periodic discrete sets},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {34--47},
     year = {2010},
     volume = {6},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a2/}
}
TY  - JOUR
AU  - S. Favorov
AU  - Ye. Kolbasina
TI  - Almost periodic discrete sets
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2010
SP  - 34
EP  - 47
VL  - 6
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a2/
LA  - en
ID  - JMAG_2010_6_1_a2
ER  - 
%0 Journal Article
%A S. Favorov
%A Ye. Kolbasina
%T Almost periodic discrete sets
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2010
%P 34-47
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a2/
%G en
%F JMAG_2010_6_1_a2
S. Favorov; Ye. Kolbasina. Almost periodic discrete sets. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 1, pp. 34-47. http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a2/

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

[2] B. Ja. Levin, Distributions of Zeros of Entire Functions, Transl. Math. Monogr., 5, AMS, Providence, RI, 1980 | MR

[3] S. Yu. Favorov, A. Yu. Rashkovskii, A. L. Ronkin, “On Almost Periodic Sets in the Complex Plane”, Dop. NAN Ukr., 1998, no. 12, 37–39 (Russian) | MR | Zbl

[4] J. C. Lagarias, “Mathematical Quasicristals and the Problem of Diffraction”, Directions in Mathematical Quasicrustals, CRM Monogr. Ser., 13, eds. M. Baake, R. Moody, AMS, Providence, RI, 2000, 61–93 | MR | Zbl

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

[6] C. Corduneanu, Almost Periodic Functions, Intersci. Publ., New York–London–Sydney, 1968 | MR | Zbl

[7] S. Yu. Favorov, “Sunyer-i-Balaguer's Almost Elliptic Functions and Yosida's Normal Functions”, J. Anal. Math., 104 (2008), 307–340 | DOI | MR | Zbl

[8] Ye. Yu. Kolbasina, “On the Property of Discrete Set in $\mathbb R^k$”, Visn. Kharkiv. Univ. Ser. Mat. Prykl. Mat. Mekh., 826 (2008), 52–66 (Russian) | Zbl