Geodesic
Spectral synthesis in a~space of exponential growth functions on finitely generated abelian groups
Algebra i analiz, Tome 24 (2012) no. 4, pp. 182-200.

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S. S. Platonov. Spectral synthesis in a~space of exponential growth functions on finitely generated abelian groups. Algebra i analiz, Tome 24 (2012) no. 4, pp. 182-200. http://geodesic.mathdoc.fr/item/AA_2012_24_4_a7/

[1] Schwartz L., “Théorie générale des fonctions moyenne-périodiques”, Ann. of Math. (2), 48 (1947), 857–929 | DOI | MR | Zbl

[2] Gilbert J. E., “On the ideal structure of some algebras of analytic functions”, Pacific J. Math., 35 (1970), 625–634 | MR

[3] Platonov S. S., “Spektralnyi sintez v nekotorykh funktsionalnykh topologicheskikh vektornykh prostranstvakh”, Algebra i analiz, 22:5 (2010), 154–185 | MR | Zbl

[4] Gurevich D. I., “Kontrprimery kprobleme L. Shvartsa”, Funkts. anal. i ego pril., 9:2 (1975), 29–35 | MR | Zbl

[5] Schwartz L., “Analyse et synthèse harmoniques dans les espaces de distributions”, Canadian J. Math., 3 (1951), 503–512 | DOI | MR | Zbl

[6] Székelyhidi L., Discrete spectral synthesis and its applications, Springer, Dordrecht, 2006 | MR | Zbl

[7] Lefranc M., “Analyse spectrale sur $Z_n$”, C. R. Acad. Sci. Paris, 246 (1958), 1951–1953 | MR | Zbl

[8] Székelyhidi L., “On discrete spectral synthesis”, Functional Equations – Results and Advances, Adv. Math. (Dordr.), 3, eds. Z. Daroćzy, Zs. Páles, Kluwer Acad. Publ., Dordrecht, 2002, 263–274 | MR | Zbl

[9] Bereczky A., Székelyhidi L., “Spectral synthesis on torsion groups”, J. Math. Anal. Appl., 304 (2005), 607–613 | DOI | MR | Zbl

[10] Berg I., Lefstrem I., Interpolyatsionnye prostranstva. Vvedenie, Mir, M., 1980 | MR

[11] Robertson A., Robertson V., Topologicheskie vektornye prostranstva, Mir, M., 1967 | MR | Zbl

[12] Nikolskii N. K., “Invariantnye podprostranstva v teorii operatorov i teorii funktsii”, Itogi nauki i tekhn. Mat. anal., 12, VINITI, M., 1974, 199–412 | MR | Zbl

[13] Baskakov A. G., “Teoriya predstavlenii banakhovykh algebr, abelevykh grupp i polugrupp v spektralnom analize lineinykh operatorov”, Sovrem. mat. Fundam. napravl., 9, 2004, 3–151 | MR | Zbl

[14] Napalkov V. V., Uravneniya svertki v mnogomernykh prostranstvakh, Nauka, M., 1982 | MR | Zbl

[15] Malgranzh B., Idealy differentsiruemykh funktsii, Mir, M., 1968

[16] Cartan H., Seminaire Henri Cartan. 1951/1952. Fonctions analytiques de plusieurs variables complexes, W. A. Benjamin, Inc., New York–Amsterdam, 1967

[17] Cartan H., “Idéaux et modules de fonctions analytiques de variables complexes”, Bull. Soc. Math. France, 78 (1950), 29–64 | MR | Zbl

[18] Ganning R., Rossi Kh., Analiticheskie funktsii mnogikh kompleksnykh peremennykh, Mir, M., 1969 | MR

[19] Shabat B. V., Vvedenie v kompleksnyi analiz, Ch. 2, Nauka, M., 1976 | MR