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math.FA2010
Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups
E K Narayanan, A Sitaram
We define lacunary Fourier series on a compact connected semisimple Lie group . If has lacunary Fourier series, and vanishes on a non empty open set, then we prov…
math.FA2010
Support theorem on R^n and non compact symmetric spaces
E. K. Narayanan, Amit Samanta
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 Fou…