On solutions of convolution equations in spaces of ultradifferentiable functions
Algebra i analiz, Tome 26 (2014) no. 6, pp. 121-142.

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

@article{AA_2014_26_6_a6,
     author = {D. A. Polyakova},
     title = {On solutions of convolution equations in spaces of ultradifferentiable functions},
     journal = {Algebra i analiz},
     pages = {121--142},
     publisher = {mathdoc},
     volume = {26},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2014_26_6_a6/}
}
TY  - JOUR
AU  - D. A. Polyakova
TI  - On solutions of convolution equations in spaces of ultradifferentiable functions
JO  - Algebra i analiz
PY  - 2014
SP  - 121
EP  - 142
VL  - 26
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2014_26_6_a6/
LA  - ru
ID  - AA_2014_26_6_a6
ER  - 
%0 Journal Article
%A D. A. Polyakova
%T On solutions of convolution equations in spaces of ultradifferentiable functions
%J Algebra i analiz
%D 2014
%P 121-142
%V 26
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2014_26_6_a6/
%G ru
%F AA_2014_26_6_a6
D. A. Polyakova. On solutions of convolution equations in spaces of ultradifferentiable functions. Algebra i analiz, Tome 26 (2014) no. 6, pp. 121-142. http://geodesic.mathdoc.fr/item/AA_2014_26_6_a6/

[1] Abanina D. A., “Razreshimost uravnenii svertki v prostranstvakh ultradifferentsiruemykh funktsii Berlinga normalnogo tipa na intervale”, Sib. mat. zh., 53:3 (2012), 477–494 | MR | Zbl

[2] Abanina D. A., “Eksponentsialno-polinomialnyi bazis v prostranstve reshenii odnorodnogo uravneniya svertki na klassakh ultradifferentsiruemykh funktsii”, Vladikavkaz. mat. zh., 13:4 (2011), 3–17 | MR

[3] Meise R., Taylor B. A., Vogt D., “Equivalence of slowly decreasing conditions and local Fourier expansions”, Indiana Univ. Math. J., 36:4 (1987), 729–756 | DOI | MR | Zbl

[4] Meise R., Schwerdtfeger K., Taylor B. A., “Kernels of slowly decreasing convolution operators”, Doǧa Mat., 10:1 (1986), 176–197 | MR | Zbl

[5] Bonet J., Galbis A., Meise R., “On the range of convolution operators on non-quasianalytic ultradifferentiable functions”, Studia Math., 126:2 (1997), 171–198 | MR | Zbl

[6] Leontev A. F., “O predstavlenii proizvolnykh funktsii ryadami Dirikhle”, Dokl. AN SSSR, 164:1 (1965), 40–42 | MR | Zbl

[7] Korobeinik Yu. F., “Predstavlyayuschie sistemy”, Izv. AN SSSR. Ser. mat., 42:2 (1978), 325–355 | MR | Zbl

[8] Abanina D. A., “Predstavlenie reshenii uravnenii svertki v nekvazianaliticheskikh klassakh ultradifferentsiruemykh funktsii Berlinga normalnogo tipa”, Izv. vuzov. Mat., 2011, no. 6, 3–11 | MR

[9] Abanin A. V., Filipev I. A., “Analiticheskaya realizatsiya prostranstv, sopryazhennykh k prostranstvam beskonechno differentsiruemykh funktsii”, Sib. mat. zh., 47:3 (2006), 485–500 | MR | Zbl

[10] Schneider D. M., “Sufficient sets for some spaces of entire functions”, Trans. Amer. Math. Soc., 197 (1974), 161–180 | DOI | MR | Zbl

[11] Boas R. P., Entire functions, Acad. Press, New York, 1954 | MR | Zbl

[12] Epifanov O. V., “Variatsii slabo dostatochnykh mnozhestv v prostranstvakh analiticheskikh funktsii”, Izv. vuzov. Mat., 1986, no. 7, 50–56 | MR | Zbl

[13] Korobeinik Yu. F., “Induktivnye i proektivnye topologii. Dostatochnye mnozhestva i predstavlyayuschie sistemy”, Izv. AN SSSR. Ser. mat., 50:3 (1986), 539–565 | MR | Zbl

[14] Levin B. Ya., Raspredelenie kornei tselykh funktsii, Gostekhizdat, M., 1956

[15] Leontev A. F., Ryady eksponent, Nauka, M., 1976 | MR | Zbl

[16] Polyakova D. A., “O lineinom nepreryvnom pravom obratnom k operatoru svertki v prostranstvakh ultradifferentsiruemykh funktsii”, Mat. zametki, 96:4 (2014), 548–566 | DOI

[17] Abanin A. V., “Netrivialnye razlozheniya nulya i absolyutno predstavlyayuschie sistemy”, Mat. zametki, 57:4 (1995), 483–497 | MR | Zbl