On Gabor frames generated by B-splines, totally positive functions, and Hermite functions

Riya Ghosh, A. Antony Selvan

The frame set of a window $\varphi \in L^2(\mathbb{R})$ is the subset of all lattice parameters $(\alpha ,\beta )\in {\mathbb{R}}_{+}^2$ such that $\mathcal{G}(ϕ,α,β)=\{e^{2πiβm\cdot}ϕ(\cdot-αk) : k, m…