Applied Harmonic analysis, frames, wavelets and coherent states, and orthogonal polynomials and their applications to quantum physics
Contributions to Dawson’s Community:
Actively supervising interested and talented students from the college in college
level Mathematics research
G. Honnouvo, K. Thirulogasanthar. “On the dimensions of oscillator algebras induced by orthogonal polynomials”. J. Math. Phys. 55 (2014), 093511 (13pp).
S. Twareque Ali, K. Thirulogasanthar, “The quaternionic affine group and related continuous wavelet transforms on complex and quaternionic Hilbert Spaces.” J. Math. Phys. 55 (2014), 063501 (16pp).
K. Thirulogasanthar, and S. Twareque Ali. “Regular subspaces of a quaternionic Hilbert space from quaternionic Hilbert spaces and associated coherent states” J. Math. Phys. Vol. 54, 2013
Thirulogasanthar, Kengatharam. “Coherent states for an abstract Hamiltonian with a general spectrum.” Jaffna University International Research Conference, 2012. Eds. B. Nimalanathan, A. Ramanan, K. Thabotharan.
B. Muraleetharan, K. Thirulogasanthar. “Right quaternionic coherent states and the Heisenberg uncertainty principle” Accepted in the Proceedings of the second international research conference of University of Jaffna.
M. Khokulan, K. Thirulogasanthar. “Discrete frames on nite dimensional quaternionic Hilbert spaces”, Accepted in the Proceedings of the second international research conference of University of Jaffna.
K. Thirulogasanthar, Nasser Saad and G. Honnouvo.” 2D-Zernike polynomials and coherent states quatization of the unit disc” arXiv.1303.5483. (submitted to journal).
M. Khokulan, K.Thirulogasanthar and S. Srisatkunarajah. “Discrete frames on nite dimensional quaternion Hilbert spaces.” arXiv.1302.2836.
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