Mr. B. Muraleetharan

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Mr. B. Muraleetharan

B.Sc. [Hons] (Jaffna), M.Phil(Jaffna).

  • Senior Lecturer in Mathematics
  • bbmuraleetharan@jfn.ac.lk
  • 0212218196
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  • M.Phil in Mathematics ( University of Jaffna, Sri Lanka).
  • B.Sc. (Hons) in Mathematics (University of Jaffna, Sri Lanka).
  •  “NRC Merit Award for Scientific Publication”, awarded in 2017.
  • “Sir Arunachalam Mahadeva Memorial Prize in Mathematics” awarded in 2009.  
  •  “Pradeepan Jeganathan Memorial Charitable Trust Mathematics Scholarships”, awarded in 2007.
  • Secretary, Jaffna Science Association – Section A, 2020.
  • Analysis.
  • Functional Analysis I & II.
  • Complex Analysis.
  • Advanced Complex analysis.
  • Number Theory and Cryptography.
  • Advanced Calculus.
  • Linear Algebra.
  • Differential Geometry.
  • Topology and Group Theory.
  • Calculus.
  • Limit Process.

Journal Articles

2020

  • B Muraleetharan and K Thirulogasanthar. Berberian extension and its s-spectra in a quaternionic Hilbert space. Advances in Applied Clifford Algebras, 30(2):1– 18, 2020.

  • K Thirulogasanthar and B Muraleetharan. Squeezed states in the quaternionic setting. Mathematical Physics, Analysis and Geometry, 23(1):1–26, 2020.

  • K Thirulogasanthar and B Muraleetharan. Kato S-spectrum in the quaternionic setting. Advances in Applied Clifford Algebras, 30:1–33, 2020.

2019

  • B Muraleetharan and K Thirulogasanthar. Weyl and Browder S-spectra in a right quaternionic Hilbert space. Journal of Geometry and Physics, 135:7–20, 2019.

2018

  • B Muraleetharan and K Thirulogasanthar. Fredholm operators and essential S- spectrum in the quaternionic setting. Journal of Mathematical Physics, 59(10):103506, 2018.

  • B Muraleetharan, K Thirulogasanthar, and I Sabadini. S-spectrum and the quaternionic Cayley transform of an operator. Journal of Geometry and Physics, 124:442–455, 2018.

2017

  • B Muraleetharan and K Thirulogasanthar. Deficiency indices of some classes of unbounded h-operators. Complex Analysis and Operator Theory, pages 1–29, 2017.

  • B Muraleetharan, K Thirulogasanthar, and I Sabadini. A representation of Weyl–Heisenberg lie algebra in the quaternionic setting. Annals of Physics, 385:180–213, 2017.

2016

  • K Thirulogasanthar and B Muraleetharan. Coherent states on quaternion slices and a measurable field of Hilbert spaces. Journal of Geometry and Physics, 110:233–247, 2016.

2015

  • Muraleetharan M. Khokulan, K. Thirulogasanthar. S-spectrum and associated continuous frames on quaternionic Hilbert spaces. Journal of Geometry and Physics, 96:107–122, 2015.

  • B Muraleetharan and K Thirulogasanthar. Coherent state quantization of quaternions. Journal of Mathematical Physics, 56(08): From–083510, 2015.

Conference Papers

2018

  • B Muraleetharan, S Selvarajan, and S Srisatkunarajah. A useful necessary condition for local minimizer of quadratic fractional programing problem with mixed variables. Proceedings of Jaffna Science Association, 25:06, 2018.

  • K Thirulogasanthar and B Muraleetharan. Canonical, squeezed and fermionic coherent states in a right quaternionic Hilbert space with a left multiplication on it. Coherent States and Their Applications: A Contemporary Panorama, 205:135, 2018.

2017

  • B Muraleetharan, S Selvarajan, and S Srisatkunarajah. Karush Hunh tucker suffciency for ρ – covex programming with mixed bounded variables. In Proceedings of Jaffna Science Association, volume 24, page 5, 2017.

2016

  • B Muraleetharan, S Selvarajan, and S Srisatkunarajah. A useful necessary condition for local minimizer of quadratic fractional programing problem with mixed variables. Proceedings of Jaffna Science Association, 23(01):04, 2016.

2015

  • Muraleetharan, S. Selvarajan, and S. Srisatkunarajah. A new necessary local optimality conditions for quadratic programming problem in a box. Proceedings of Jaffna Science Association, 22(01):01, 2015.

2014

  • B Muraleetharan and Thirulogasanthar K. Right quaternionic coherent states and the Heisenberg uncertainty principle. In Proceedings of Jaffna University International Conference, pages 12–pages. University of Jaffna, 2014.

  • Muraleetharan, S. Selvarajan, and S. Srisatkunarajah. Locating global minimizers of ρ-convex programing problems. Annual Research Sessions of Jaffna Science Association (JSA), 21:pg–1, 2014.

  • B Muraleetharan, S Selvarajan, and S Srisatkunarajah. Lagrange multiplier sufficient conditions for identifying global minimizers of quadratic programming with mixed variables. In International Conference on Mathematical Modeling, pages pg.–50. Research and Development Center for Mathematical Modelling, 2014.

2013

  • Muraleetharan, S. Selvarajan, and S. Srisatkunarajah. Global optimality conditions for ρ– convex minimization problems with mixed continuous and discrete variables. Annual Research Sessions of Jaffna Science Association (JSA), 20:1, 2013.

2012

  • Muraleetharan and S. Selvarajan. Identification of chaos in Bonhoeffer- van der pol oscillator. Annual Research Sessions of Jaffna Science Association (JSA), 19:1, 2012.