On solvability of linear difference equations in smooth and real analytic vector functions of several variables |
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| Authors: | Genrich Belitskii Vadim Tkachenko |
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| Institution: | (1) Department of Mathematics, Ben-Gurion Univ. of the Nege, 84105 Beer Sheva, Israel;(2) Institute for Low Temperature, Keharkov, Ukraine |
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| Abstract: | We investigate the multidimensional equations 
j=1
q
Aj(x)y(x+e
j
)=f(x),e
j
  n wherex n andA
j
: n  Hom(
p
,
m
),f : n m are given maps. Sufficient conditions for smooth and analytic solvability for anyf C
k
,k   are found.Research partially supported by the Israel Ministry of ScienceAMS classification 39B Functional equations |
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| Keywords: | |
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