Santhar’s research program is on the concept of Hilbert spaces, the natural skeletons for the mathematical version of many areas of physics, predominantly quantum mechanics, signal and image analysis and telecommunications (transmitting data). Our research is mainly focused on the mathematical theories related to these problems. Santhar’s research is funded by a grant from the FRQNT’s Programme de recherche pour les chercheurs de collège (2016-19).

Contributions to Dawson’s Community:

Actively supervising interested and talented students from the college in college level Mathematics research

Publications

• G. Honnouvo, K. Thirulogasanthar, On the dimensions of oscillator-like algebras induced by orthogonal polynomials: non-symmetric case, Rep. Math. Phys. 79 (2017),67-79.
• B. Muraleetharan, K. Thirulogasanthar, Coherent states on quaternion slices and a measurable eld of Hilbert spaces, J. Geom. Phys. 110 (2016), 233-247. http://dx.doi.org/10.1016/j.geomphys.2016.08.006
• Nasser Saad, K. Thirulogasanthar, Generalized 2D Laguerre polynomials and their quaternionic extensions , J. Comput. Appl. Math. 308 (2016), 301-317. doi:10.1016/j.cam.2016.05.037
• B. Muraleetharan, K. Thirulogasanthar, Coherent state quantization of quaternions, J. Math. Phys. 56, 083510 (2015); doi: 10.1063/1.4928934
• Khokulan, K. Thirulogasanthar, B. Muraleetharan, S-spectrum and associated continuous frames in quaternionic Hilbert spaces, J. Geom. Phys. 96 (2015), 107-122.
• K. Thirulogasanthar, Nasser Saad, G. Honnouvo, 2D-Zernike polynomials and coherent state quantization of the unit disc, Math. Phys. Anal. Geom. 18 (2015)