Systems of Division Problems for Distributions
نویسنده
چکیده
Suppose (ftj)ist.jtr is a pxp matrix of real-valued infinitely (respectively /«-times continuously) differentiable functions on an open subset fl of R". Then (fti)isi,isp maps the space of ^-tuples of distributions on fl (respectively distributions of order Smonfi) into itself. In the present paper, the pxp matrices (P/)isi,<sp for which this mapping is onto are characterized in terms of the zeros of the determinant of (fti)ist,iip when the/,/ are infinitely differentiable on Ci^R1 and when theft, are m-times continuously differentiable on A<=Ä". Finally, partial results are obtained when the fu are infinitely differentiable on fl <= Rn and extensions are made to p x q systems of division problems for distributions.
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