Mean-periodic operational calculi

Ivan Dimovski; Krystyna Skórnik

Banach Center Publications (2000)

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

Abstract

top
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.

How to cite

top

Dimovski, 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

top
  1. [1] J. Delsarte, Les fonctions moyenne-périodiques, J. Math. Pures Appl. (9) 14 (1935), 403-453. Zbl0013.25405
  2. [2] L. Schwartz, Théorie générale des fonctions moyenne-périodiques, Ann. of Math. (2) 48 (1947), 857-929. Zbl0030.15004
  3. [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. [4] C. A. Berenstein and B. A. Taylor, Mean-periodic functions, Internat. J. Math. Math. Sci. 3 (1980), 199-235. Zbl0438.42012
  5. [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. [6] A. F. Leont'ev, Funkcii periodicheskie v srednem, Trudy letnei matematicheskoi shkoly, Konf. Teorii Funkcii, Kiev, 1966 (in Russian). 
  7. [7] J. Mikusiński, Operational Calculus, PWN-Pergamon Press, Vol. I, 1983. Zbl0532.44003
  8. [8] I. H. Dimovski, Convolutional Calculus, Kluwer, Dordrecht, 1990. 
  9. [9] A. F. Leont'ev, Exponential Series, Nauka, Moscow, 1976 (in Russian). 
  10. [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. [11] I. H. Dimovski, Nonlocal operational calculi, Proc. Steklov Inst. of Math. 203 (1994), 58-73 (in Russian). Zbl0896.44003

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.