Geodesic
An analogue of the Paley--Wiener theorem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2002), pp. 65-71.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{IVM_2002_8_a8,
     author = {D. K. Ugulava},
     title = {An analogue of the {Paley--Wiener} theorem},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {65--71},
     publisher = {mathdoc},
     number = {8},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2002_8_a8/}
}
TY  - JOUR
AU  - D. K. Ugulava
TI  - An analogue of the Paley--Wiener theorem
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2002
SP  - 65
EP  - 71
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2002_8_a8/
LA  - ru
ID  - IVM_2002_8_a8
ER  - 
%0 Journal Article
%A D. K. Ugulava
%T An analogue of the Paley--Wiener theorem
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2002
%P 65-71
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2002_8_a8/
%G ru
%F IVM_2002_8_a8
D. K. Ugulava. An analogue of the Paley--Wiener theorem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2002), pp. 65-71. http://geodesic.mathdoc.fr/item/IVM_2002_8_a8/

[1] Ugulava D., “On the approximation of functions on locally compact Abelian groups”, Georgian Math. J., 6:4 (1999), 379–394 | DOI | MR | Zbl

[2] Stein I., Veis G., Vvedenie v garmonicheskii analiz na evklidovykh prostranstvakh, Mir, M., 1974, 336 pp. | Zbl

[3] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977, 455 pp. | MR

[4] Khyuitt E., Ross K., Abstraktnyi garmonicheskii analiz. Struktura topologicheskikh grupp. Teoriya integrirovaniya. Predstavleniya grupp, Nauka, M., 1975, 654 pp.

[5] Rudin U., Funktsionalnyi analiz, Mir, M., 1975, 448 pp. | MR

[6] Khyuitt E., Ross K., Abstraktnyi garmonicheskii analiz. Struktura i analiz kompaktnykh grupp. Analiz na lokalno kompaktnykh abelevykh gruppakh, Nauka, M., 1975, 904 pp.

[7] Gurarii V. P., “Gruppovye metody kommutativnogo garmonicheskogo analiza”, Itogi nauki i tekhn. Sovr. probl. matem., 25, VINITI, M., 1988, 1–311 | MR | Zbl

[8] Mackey G., “Laplace transform for locally compact Abelian groups”, Proc. Nat. Acad. Sci. USA, 34, 1948, 156–162 | MR | Zbl

[9] Mackey G., “Functions on locally compact groups”, Bull. Amer. Math. Soc., 56 (1950), 385–412 | DOI | MR

[10] Adams Dzh., Lektsii po gruppam Li, Nauka, M., 1979, 144 pp. | MR

[11] Bernshtein S. N., Sobranie sochinenii. T. 2. Konstruktivnaya teoriya funktsii (1931–1953), Izd-vo AN SSSR, M., 1954, 628 pp.

[12] Ugulava D. K., “O priblizhenii tselymi funktsiyami eksponentsialnogo tipa”, Tr. in-ta vychisl. matem. AN Gruzii, 28:1 (1988), 192–202 | MR | Zbl