Frame set for shifted sinc-function.

We prove that frame set F g for imaginary shift of sinc-function g (t) = sin ⁡ π b (t − i w) t − i w , b , w ∈ R ∖ { 0 } can be described as F g = { (α , β) : α β ⩽ 1 , β ⩽ | b | }. In addition, we prove that F g = { (α , β) : α β ⩽ 1 } for window functions g of the form 1 t − i w (1 − ∑ k = 1 ∞ a k e 2 π i b k t) , such that ∑ k ⩾ 1 | a k | e 2 π | w b k | < 1 , w b k < 0. [ABSTRACT FROM AUTHOR]