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math.FA2016
Raghavan Narsimhan's proof of L. Schwartz's perturbation theorem
M. K. Vemuri
Raghavan Narasimhan outlined a new proof of L. Schwartz's perturbation theorem during a course of lectures at IMSc, Chennai in Spring 2007. The details are given.
math.FA2016
Benedicks' Theorem for the Weyl Transform
M. K. Vemuri
If the set of points where a function is nonzero is of finite measure, and its Weyl transform is a finite rank operator, then the function is identically zero.