Mathematics – Functional Analysis
Scientific paper
2010-02-20
Mathematics
Functional Analysis
Scientific paper
We consider convolution equations of the type f * T = g where f, g are in
L^p(R^n) and T is a compactly supported distribution. Under natural assumptions
on the zero set of the Fourier transform of T we show that f is compactly
supported, provided g is. Similar results are proved for non compact symmetric
spaces as well.
Narayanan E. K.
Samanta Amit
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