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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2016, Volume 447, Pages 90–112 (Mi znsl6296)

On generators of spaces of entire functions with a system of weighted estimates
D. A. Polyakova

References

1. V. V. Napalkov, Uravneniya svertki v mnogomernykh prostranstvakh, Nauka, M., 1982  mathscinet
2. R. W. Braun, R. Meise, B. A. Taylor, “Ultradifferentiable functions and Fourier analysis”, Results Math., 17 (1990), 206–237  crossref  mathscinet  zmath
3. R. Meise, B. A. Taylor, D. Vogt, “Equivalence of slowly decreasing conditions and local Fourier expansions”, Indiana Univ. Math. J., 36 (1987), 729–756  crossref  mathscinet  zmath  isi
4. T. Meyer, “Surjectivity of convolution operators on spaces of ultradifferentiable functions of Roumieu type”, Studia Math., 125 (1997), 101–129  mathscinet  zmath  isi
5. D. A. Abanina, “On Borel's theorem for spaces of ultradifferentiable functions of mean type”, Res. Math., 44 (2003), 195–213  crossref  mathscinet  zmath
6. A. V. Abanin, Pham Trong Tien, “Almost subadditive weight functions form Braun–Meise–Taylor theory of ultradistributions”, J. Math. Anal. Appl., 363 (2010), 296–301  crossref  mathscinet  zmath  isi  elib
7. S. Momm, “Closed principal ideals in nonradial Hörmander algebras”, Arch. Math. (Basel), 58 (1992), 47–55  crossref  mathscinet  zmath  isi
8. A. V. Abanin, Le Hai Khoi, “Pre-dual of the function algebra $A^{-\infty}(D)$ and representation of functions in Dirichlet series”, Complex Anal. Oper. Theory, 5:4 (2011), 1073–1092  crossref  mathscinet  zmath  isi  elib
9. L. Carleson, “Interpolation by bounded analytic functions and the corona problem”, Ann. of Math., 72:2 (1962), 547–559  crossref  mathscinet
10. J. J. Kelleher, B. A. Taylor, “An application of the corona theorem to some rings of entire functions”, Bull. Amer. Math. Soc., 73 (1967), 246–249  crossref  mathscinet  zmath
11. L. Khërmander, Vvedenie v teoriyu funktsii neskolkikh kompleksnykh peremennykh, Mir, M., 1968  mathscinet
12. L. Hörmander, “Generators for some rings of analytic functions”, Bull. Amer. Math. Soc., 73 (1967), 943–949  crossref  mathscinet  zmath
13. T. T. Kuzbekov, “Ob idealakh v nekotorykh koltsakh analiticheskikh funktsii”, Izv. vuzov. Matem., 1993, no. 10, 77–80  mathnet  mathscinet  zmath
14. T. T. Kuzbekov, “K voprosu o porozhdayuschikh v nekotorykh koltsakh analiticheskikh funktsii”, Matem. zametki, 55:3 (1994), 68–75  mathnet  mathscinet  zmath
15. A. V. Abanin, “Modifikatsiya metoda L. Khërmandera v zadache o porozhdayuschikh i ee prilozheniya”, Izv. vuzov. Matem., 1995, no. 8, 3–12  mathnet  mathscinet  zmath
16. O. V. Epifanov, “O razreshimosti neodnorodnogo uravneniya Koshi–Rimana v klassakh funktsii, ogranichennykh s vesom i sistemoi vesov”, Mat. zametki, 51:1 (1992), 83–92  mathnet  mathscinet  zmath
17. A. V. Abanin, Pham Trong Tien, “Continuation of holomorphic functions and some of its applications”, Studia Math., 200 (2010), 279–295  crossref  mathscinet  zmath  isi  elib
18. D. A. Polyakova, “O razreshimosti neodnorodnogo uravneniya Koshi–Rimana v prostranstvakh funktsii s sistemoi ravnomernykh vesovykh otsenok”, Izv. vuzov. Matem., 2015, no. 10, 77–82  mathnet  zmath
19. A. V. Abanin, I. A. Filipev, “Analiticheskaya realizatsiya prostranstv, sopryazhennykh k prostranstvam beskonechno differentsiruemykh funktsii”, Sib. mat. zhurn., 47:3 (2006), 485–500  mathnet  mathscinet  zmath  elib
20. D. A. Abanina, “Razreshimost uravnenii svertki v prostranstvakh ultradifferentsiruemykh funktsii Berlinga normalnogo tipa na intervale”, Sib. mat. zhurn., 53:3 (2012), 477–494  mathnet  mathscinet  zmath  elib
21. R. Edvards, Funktsionalnyi analiz, Mir, M., 1969
22. A. P. Robertson, V. Dzh. Robertson, Topologicheskie vektornye prostranstva, Mir, M., 1967  mathscinet


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