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pro vyhledávání: '"RAMAKRISHNAN, RADHA"'
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
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
Noise-shaping quantization techniques are widely used for converting bandlimited signals from the analog to the digital domain. They work by "shaping" the quantization noise so that it falls close to the reconstruction operator's null space. We inves
Externí odkaz:
http://arxiv.org/abs/2306.15758
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
The translation operator $T^A$ associated with the special affine Fourier transform (SAFT) $\mathscr{F}_A$ is introduced from harmonic analysis point of view. The analogues of Wendel's theorem, Wiener theorem, Weiner-Tauberian theorem and Bernstein t
Externí odkaz:
http://arxiv.org/abs/2212.05678
Autor:
Bhende, Pramod, Surya, Janani, Gopal, Lingam, Ramakrishnan, Radha, Roy, Rupak, Das, Supita, Manayath, George, Prabhakaran, Vignesh T, Anantharaman, Giridhar, Gopalakrishnan, Mahesh, Natarajan, Sundaram, Krishnan, Radhika, Mani, Sheena Liz, Agarwal, Manisha, Behera, Umesh, Bhattacharjee, Harsha, Barman, Manabjyoti, Sen, Alok, Saxena, Moneesh, Sil, Asim K, Chakabarty, Subhratanu, Cherian, Thomas, Jitesh, Reesha, Naigaonkar, Rushikesh, Desai, Abishek, Kulkarni, Sucheta, Mohan, Deepa, Chawla, Gajendra, Gurudas, Sarega, Vasconcelos, Joana C, Prevost, A Toby, Raman, Rajiv, Rajalakshmi, Ramachandran, Ramasamy, Kim, Mohan, Viswanathan, Rani, Padmaja K, Das, Taraprasad, Conroy, Dolores, Tapp, Robyn J, Sivaprasad, Sobha *
Publikováno v:
In The Lancet Global Health May 2024 12(5):e838-e847
In this paper, we introduce a class of $B$-splines on the Heisenberg group $\mathbb{H}$ and study their fundamental properties. Unlike the classical case, we prove that there does not exist any sequence $\{\alpha_n\}_{n\in\mathbb{N}}$ such that $L_{(
Externí odkaz:
http://arxiv.org/abs/2105.07707
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Autor:
Bhende, Pramod, Surya, Janani, Gopal, Lingam, Ramakrishnan, Radha, Roy, Rupak, Das, Supita, Manayath, George, Pooleeswaran, Vignesh T, Anantharaman, Giridhar, Gopalakrishnan, Mahesh, Natarajan, Sundaram, Krishnan, Radhika, Mani, Sheena Liz, Agarwal, Manisha, Behera, Umesh, Bhattacharjee, Harsha, Barman, Manabjyoti, Sen, Alok, Saxena, Moneesh, Sil, Asim K, Chakrabarty, Subhratanu, Cherian, Thomas, Jitesh, Reesha, Naigaonkar, Rushikesh, Desai, Abishek, Kulkarni, Sucheta, Raman, Rajiv *, Vasconcelos, Joana C *, Rajalakshmi, Ramachandran, Prevost, A Toby, Ramasamy, Kim, Mohan, Viswanathan, Mohan, Deepa, Rani, Padmaja K, Conroy, Dolores, Das, Taraprasad, Sivaprasad, Sobha *
Publikováno v:
In The Lancet Global Health December 2022 10(12):e1764-e1773
Autor:
Ramakrishnan, Radha, Velsamy, Rabeetha
Publikováno v:
Rendiconti del Circolo Matematico di Palermo (Series 2); Dec2024, Vol. 73 Issue 8, p3033-3054, 22p