Mean-periodic operational calculi

• Autorzy: Ivan H. Dimovski , Krystyna Skórnik
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2000
• Tom: 53
• Numer: 1
• Strony: 105-112

Daty

wydano

2000

Twórcy

autor

Ivan H. Dimovski

• Institute of Mathematics, Bulgarian Academy of Sciences, Sofia 1090, Bulgaria

autor

Krystyna Skórnik

• Institute of Mathematics, Polish Academy of Sciences, Katowice Branch, Bankowa 14, 40-007 Katowice, Poland

Bibliografia

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• [2] L. Schwartz, Théorie générale des fonctions moyenne-périodiques, Ann. of Math. (2) 48 (1947), 857-929.
• [3] L. Ehrenpreis, Mean-periodic functions, varieties whose annihilator ideals are principal, Amer. J. Math. 77 (1955), 293-328 and 731-733.
• [4] C. A. Berenstein and B. A. Taylor, Mean-periodic functions, Internat. J. Math. Math. Sci. 3 (1980), 199-235.
• [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.
• [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.
• [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.
• [11] I. H. Dimovski, Nonlocal operational calculi, Proc. Steklov Inst. of Math. 203 (1994), 58-73 (in Russian).