**Mr. B. Muraleetharan**

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

- Senior Lecturer in Mathematics
- bbmuraleetharan@jfn.ac.lk
- 0212218196

- 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 Cli**ﬀ**ord 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 Cli**ﬀ**ord 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.