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math.CA2026
Frames and Bases of Translates of Signals on Undirected Graphs
Rabeetha Velsamy, Radha Ramakrishnan
We study a shift invariant space on an undirected graphs having vertices. We obtain a characterization theorem for a system of generalized translates $\{T_{i}g : 1\leq i\le…
math.CA2024
Discrete Calderon condition for the twisted wavelet system
Radha Ramakrishnan, Rabeetha Velsamy
In this paper, we obtain an analogue of the discrete Calderon condition and prove that this condition is sufficient for an orthonormal twisted wavelet system to be complete in L^{2…
math.CA2023
Zak transform associated with the Weyl transform and the system of twisted translates on R^{2n}
Radha Ramakrishnan, Rabeetha Velsamy
We introduce the Zak transform on associated with the Weyl transform. By making use of this transform, we define a bracket map and prove that the system of…