The multidimensional $z$-transform and its use in solution of partial difference equations
Kybernetika, Tome 24 (1988), pp. 1-39
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 35A22, 39A10, 44A55, 65E05, 93C62, 94A11
@article{KYB_1988_24_Suppl1_a0,
     author = {Gregor, Ji\v{r}{\'\i}},
     title = {The multidimensional $z$-transform and its use in solution of partial difference equations},
     journal = {Kybernetika},
     pages = {1--39},
     year = {1988},
     volume = {24},
     number = {Suppl1},
     mrnumber = {0942838},
     zbl = {0671.35009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1988_24_Suppl1_a0/}
}
TY  - JOUR
AU  - Gregor, Jiří
TI  - The multidimensional $z$-transform and its use in solution of partial difference equations
JO  - Kybernetika
PY  - 1988
SP  - 1
EP  - 39
VL  - 24
IS  - Suppl1
UR  - http://geodesic.mathdoc.fr/item/KYB_1988_24_Suppl1_a0/
LA  - en
ID  - KYB_1988_24_Suppl1_a0
ER  - 
%0 Journal Article
%A Gregor, Jiří
%T The multidimensional $z$-transform and its use in solution of partial difference equations
%J Kybernetika
%D 1988
%P 1-39
%V 24
%N Suppl1
%U http://geodesic.mathdoc.fr/item/KYB_1988_24_Suppl1_a0/
%G en
%F KYB_1988_24_Suppl1_a0
Gregor, Jiří. The multidimensional $z$-transform and its use in solution of partial difference equations. Kybernetika, Tome 24 (1988), pp. 1-39. http://geodesic.mathdoc.fr/item/KYB_1988_24_Suppl1_a0/

[1] M. Bosák, J. Gregor: On generalized difference equations. Apl. Math. 32 (1987), 3, 224-239. | MR

[2] N. K. Bose: Applied Multidimensional Systems Theory. Van Nostrand, New York 1982. | MR | Zbl

[3] N. K. Bose (ed.): Multidimensional Systems Theory. D. Reidel, Dordrecht 1984.

[4] D. E. Dudgeon, R. M. Mercereau: Multidimensional Digital Signal Processing. Prentice-Hall, N. J. 1984.

[5] R. Eising: State space realization and inversion of 2-D systems. IEEE Trans. Circuits and Systems CAS-27 (1980), 7, 612-619. | MR | Zbl

[6] J. Gregor: Solution of $n$-D difference equations by the $z$-transform. In: Signal Processing III: Theories and Applications (I. T. Young, ed.), Elsevier Sci. Publ., Haag 1986, pp. 713-716.

[7] T. S. Huang (ed): Two-Dimensional Digital Signal Processing I. Springer-Verlag, Berlin--Heidelberg--New York 1981. | MR

[8] L. Rabiner, B. Gold: Theory and Application of Digital Signal Processing. Prentice-Hall, N. J. 1975.

[9] L. S. Sobolev: Introduction to the Theory of Cubature Formulae. Nauka, Moscow 1974. (In Russian.) | MR

[10] B. V. Šabat: Introduction to Complex Analysis. Vol. II. Nauka, Moscow 1976. (In Russian.) | MR

[11] S. G. Tzafestas, N. J. Theodorou: Multidemnsional state-space models: A comparative overview. Math. Comput. Simulation 26 (1984), 432-442. | MR

[12] R. Vich: The z-transform and Its Application. SNTL, Prague 1979. (In Czech).

[13] D. Zeilberger: The algebra of partial difference operators and its applications. SIAM J. Math. Anal. 39 (1980), 6, 919-932. | MR