# Mean-periodic operational calculi

Ivan Dimovski; Krystyna Skórnik

Banach Center Publications (2000)

- Volume: 53, Issue: 1, page 105-112
- ISSN: 0137-6934

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topDimovski, Ivan, and Skórnik, Krystyna. "Mean-periodic operational calculi." Banach Center Publications 53.1 (2000): 105-112. <http://eudml.org/doc/209066>.

@article{Dimovski2000,

abstract = {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.},

author = {Dimovski, Ivan, Skórnik, Krystyna},

journal = {Banach Center Publications},

keywords = {operational calculi; mean-periodic functions; linear ordinary differential equations},

language = {eng},

number = {1},

pages = {105-112},

title = {Mean-periodic operational calculi},

url = {http://eudml.org/doc/209066},

volume = {53},

year = {2000},

}

TY - JOUR

AU - Dimovski, Ivan

AU - Skórnik, Krystyna

TI - Mean-periodic operational calculi

JO - Banach Center Publications

PY - 2000

VL - 53

IS - 1

SP - 105

EP - 112

AB - 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.

LA - eng

KW - operational calculi; mean-periodic functions; linear ordinary differential equations

UR - http://eudml.org/doc/209066

ER -

## References

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- [2] L. Schwartz, Théorie générale des fonctions moyenne-périodiques, Ann. of Math. (2) 48 (1947), 857-929. Zbl0030.15004
- [3] L. Ehrenpreis, Mean-periodic functions, varieties whose annihilator ideals are principal, Amer. J. Math. 77 (1955), 293-328 and 731-733. Zbl0068.31702
- [4] C. A. Berenstein and B. A. Taylor, Mean-periodic functions, Internat. J. Math. Math. Sci. 3 (1980), 199-235. Zbl0438.42012
- [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. Zbl0016.30403
- [6] A. F. Leont'ev, Funkcii periodicheskie v srednem, Trudy letnei matematicheskoi shkoly, Konf. Teorii Funkcii, Kiev, 1966 (in Russian).
- [7] J. Mikusiński, Operational Calculus, PWN-Pergamon Press, Vol. I, 1983. Zbl0532.44003
- [8] I. H. Dimovski, Convolutional Calculus, Kluwer, Dordrecht, 1990.
- [9] A. F. Leont'ev, Exponential Series, Nauka, Moscow, 1976 (in Russian).
- [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. Zbl0428.47011
- [11] I. H. Dimovski, Nonlocal operational calculi, Proc. Steklov Inst. of Math. 203 (1994), 58-73 (in Russian). Zbl0896.44003

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