Mean-periodic operational calculi
Dimovski, Ivan ; Skórnik, Krystyna
Banach Center Publications, Tome 51 (2000), p. 105-112 / Harvested from The Polish Digital Mathematics Library

Elements of operational calculi for mean-periodic functions with respect to a given linear functional in the space of continuous functions are developed. Application for explicit determining of such solutions of linear ordinary differential equations with constant coefficients is given.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:209066
@article{bwmeta1.element.bwnjournal-article-bcpv53z1p105bwm,
     author = {Dimovski, Ivan and Sk\'ornik, Krystyna},
     title = {Mean-periodic operational calculi},
     journal = {Banach Center Publications},
     volume = {51},
     year = {2000},
     pages = {105-112},
     zbl = {0962.44011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv53z1p105bwm}
}
Dimovski, Ivan; Skórnik, Krystyna. Mean-periodic operational calculi. Banach Center Publications, Tome 51 (2000) pp. 105-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv53z1p105bwm/

[000] [1] J. Delsarte, Les fonctions moyenne-périodiques, J. Math. Pures Appl. (9) 14 (1935), 403-453. | Zbl 0013.25405

[001] [2] L. Schwartz, Théorie générale des fonctions moyenne-périodiques, Ann. of Math. (2) 48 (1947), 857-929. | Zbl 0030.15004

[002] [3] L. Ehrenpreis, Mean-periodic functions, varieties whose annihilator ideals are principal, Amer. J. Math. 77 (1955), 293-328 and 731-733. | Zbl 0068.31702

[003] [4] C. A. Berenstein and B. A. Taylor, Mean-periodic functions, Internat. J. Math. Math. Sci. 3 (1980), 199-235. | Zbl 0438.42012

[004] [5] J. Delsarte, Fonctions moyenne-périodiques sur un groupe abstrait, Ann. Soc. Sci. Bruxelles Sér. I Sci. Math. Phys. 57 (1937), No 1, 6-15; reprinted in his Oeuvres, Vol. I, 381-390. | Zbl 0016.30403

[005] [6] A. F. Leont'ev, Funkcii periodicheskie v srednem, Trudy letnei matematicheskoi shkoly, Konf. Teorii Funkcii, Kiev, 1966 (in Russian).

[006] [7] J. Mikusiński, Operational Calculus, PWN-Pergamon Press, Vol. I, 1983. | Zbl 0532.44003

[007] [8] I. H. Dimovski, Convolutional Calculus, Kluwer, Dordrecht, 1990.

[008] [9] A. F. Leont'ev, Exponential Series, Nauka, Moscow, 1976 (in Russian).

[009] [10] S. I. Grozdev, A convolution approach to initial value problems for equations with right invertible operators, C. R. Acad. Bulgare Sci. 33(1980), 35-38. | Zbl 0428.47011

[010] [11] I. H. Dimovski, Nonlocal operational calculi, Proc. Steklov Inst. of Math. 203 (1994), 58-73 (in Russian). | Zbl 0896.44003