| Title:
|
Decomposition of smooth functions of two multidimensional variables (English) |
| Author:
|
Čadek, Martin |
| Author:
|
Šimša, Jaromír |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
342-358 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26B40 |
| MSC:
|
47H99 |
| MSC:
|
58C25 |
| idZBL:
|
Zbl 0741.58005 |
| idMR:
|
MR1105450 |
| DOI:
|
10.21136/CMJ.1991.102467 |
| . |
| Date available:
|
2008-06-09T15:39:43Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102467 |
| . |
| Reference:
|
[1] J. Aczél: Lectures on Functional Equations and Their Applications.New York and London: Academic Press, 1966. MR 0208210 |
| Reference:
|
[2] M. Čadek, J. Šimša: Decomposable functions of several variables.Aequationes Math. 40 (1990), 8-25. MR 1055187, 10.1007/BF02112277 |
| Reference:
|
[3] M. Cyparissos Stephanos: Sur une categorie d'èquations fonctionnelles.Rend. Circ. Mat. Palermo 18 (1904), 360-362. 10.1007/BF03014110 |
| Reference:
|
[4] H. Gauchman, L. A. Rubel: Sums of products of functions of $x$ times functions of $y$.Linear Algebra Appl. 125 (1989), 19-63. Zbl 0695.26007, MR 1024482 |
| Reference:
|
[5] F. Neuman: Functions of two variables and matrices involving factorization.C. R. Math. Rep. Acad. Sci. Canada. 3 (1981), 7-11. MR 0608675 |
| Reference:
|
[6] F. Neuman: Factorizations of matrices and functions of two variables.Czechoslovak Math. J. 32 (107) (1982), 582-588. Zbl 0517.15012, MR 0682133 |
| Reference:
|
[7] F. Neuman: Finite sums of products of functions in single variables.Linear Algebra Appl. 134 (1990), 153-164. Zbl 0714.26007, MR 1060018, 10.1016/0024-3795(90)90014-4 |
| Reference:
|
[8] T. M. Rassias: A criterion for a function to be represented as a sum of products of factors.Bull. Inst. Math. Acad. Sinica 14 (1986), 377-382. Zbl 0643.26009, MR 0885367 |
| . |
