Three problems on exponential bases

Tuesday, February 6, 2018 - 2:00pm
Math Sci 110
Laura De Carli
(Florida International University)

We consider three special and significant cases of  the following problem: let D ⊂ R^d be a (possibly unbounded) set of finite Lebesgue measure. Let E(Z^d ) = {e (2πix.n)}, with n∈ Z^d, be the standard exponential basis on the unit cube of R^d .   Find conditions on the domain D for which E(Z^d ) is a frame, or a Riesz sequence, or a Riesz basis on L^2 (D). This is a joint work with A. Mizrahi and A. Tepper

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