Support theorem on Rⁿ and non compact symmetric spaces
Narayanan, E. K. · Samanta, Amit
Original · EN
We consider convolution equations of the type f * T = g where f, g are in Lᵖ(Rⁿ) 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.
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