Decomposition of smooth functions of two multidimensional variables

Martin Čadek; Jaromír Šimša

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 2, page 342-358
  • ISSN: 0011-4642

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Čadek, Martin, and Šimša, Jaromír. "Decomposition of smooth functions of two multidimensional variables." Czechoslovak Mathematical Journal 41.2 (1991): 342-358. <http://eudml.org/doc/13932>.

@article{Čadek1991,
author = {Čadek, Martin, Šimša, Jaromír},
journal = {Czechoslovak Mathematical Journal},
keywords = {manifold; smooth function; differential operator; integral equation},
language = {eng},
number = {2},
pages = {342-358},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Decomposition of smooth functions of two multidimensional variables},
url = {http://eudml.org/doc/13932},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Čadek, Martin
AU - Šimša, Jaromír
TI - Decomposition of smooth functions of two multidimensional variables
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 2
SP - 342
EP - 358
LA - eng
KW - manifold; smooth function; differential operator; integral equation
UR - http://eudml.org/doc/13932
ER -

References

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  1. J. Aczél, Lectures on Functional Equations and Their Applications, New York and London: Academic Press, 1966. (1966) MR0208210
  2. M. Čadek, J. Šimša, 10.1007/BF02112277, Aequationes Math. 40 (1990), 8-25. (1990) MR1055187DOI10.1007/BF02112277
  3. M. Cyparissos Stephanos, 10.1007/BF03014110, Rend. Circ. Mat. Palermo 18 (1904), 360-362. (1904) DOI10.1007/BF03014110
  4. H. Gauchman, L. A. Rubel, Sums of products of functions of x times functions of y , Linear Algebra Appl. 125 (1989), 19-63. (1989) Zbl0695.26007MR1024482
  5. F. Neuman, Functions of two variables and matrices involving factorization, C. R. Math. Rep. Acad. Sci. Canada. 3 (1981), 7-11. (1981) MR0608675
  6. F. Neuman, Factorizations of matrices and functions of two variables, Czechoslovak Math. J. 32 (107) (1982), 582-588. (1982) Zbl0517.15012MR0682133
  7. F. Neuman, 10.1016/0024-3795(90)90014-4, Linear Algebra Appl. 134 (1990), 153-164. (1990) Zbl0714.26007MR1060018DOI10.1016/0024-3795(90)90014-4
  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. (1986) Zbl0643.26009MR0885367

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