Výsledky vyhledávání - "Velsamy, Rabeetha"

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Discrete Calderon condition for the twisted wavelet system

Autor: Ramakrishnan, Radha, Velsamy, Rabeetha

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}(R^{2}).

Externí odkaz: http://arxiv.org/abs/2410.04846

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Twisted shift preserving operators on $L^{2}(\mathbb{R}^{2n})$

Autor: Velsamy, Rabeetha, Ramakrishnan, Radha

We introduce the J map using the Zak transform associated with the Weyl transform on $L^{2}(\mathbb{R}^{2n})$. We obtain a decomposition for a twisted shift-invariant subspace of $L^{2}(\mathbb{R}^{2n})$ as a direct sum of mutually orthogonal princip

Externí odkaz: http://arxiv.org/abs/2308.13238

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Zak transform associated with the Weyl transform and the system of twisted translates on R^{2n}

Autor: Ramakrishnan, Radha, Velsamy, Rabeetha

We introduce the Zak transform on $L^{2}(\mathbb{R}^{2n})$ associated with the Weyl transform. By making use of this transform, we define a bracket map and prove that the system of twisted translates $\{T^{t}_{(k,l)}\phi : k,l\in \mathbb{Z}^{n}\}$ is

Externí odkaz: http://arxiv.org/abs/2305.04488

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