Title of article
Support theorems on RnRn and non-compact symmetric spaces
Author/Authors
E.K. Narayanan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
26
From page
2587
To page
2612
Abstract
We consider convolution equations of the type f∗T=gf∗T=g, where f,g∈Lp(Rn)f,g∈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
Keywords
Paley–Wiener theorems , Support theorems , Analytic sets , Spherical Fourier transform , Symmetric spaces
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840309
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