Assistant Professor

Dr Manab Kundu

Department of Mathematics

Interests

  1. Operator Theory
  2. Harmonic Analysis

Faculty Details

Education

2014

B B College, Asansol
(Under the University of Burdwan)
India
Bachelor of Science

2016

IIT (ISM)
Dhanbad
India
Master of Science

2022

IIT (ISM)
Dhanbad
India
PhD

Research Interest

  • My broad research area is “Operator Theory”. In particular, I am focusing on a unified analytical approach of certain integral transforms in quaternion and Clifford settings

Awards & Fellowships

  • 2019-2022- UGC-SRF Fellowship- UGC
  • 2017-2019- UGC-JRF Fellowship- UGC
  • 2016- Qualified CSIR-UGC NET (JRF) in mathematical sciences
  • 2014-2016- M.C.M. Scholarship- IIT (ISM), Dhanbad
  • 2011-2014- M.C.M. Scholarship- WBCHSE
  • 2008-2010- M.C.M. Scholarship- WBBSE

Memberships

  • Life membership of Indian Mathematical Society, India (Membership ID:L/2019/41)
  • Life membership of Indian Science Congress Association, India (Membership ID:L40264)
  • Life membership of Society of Applied Mathematics (SAM) (Membership ID:L200)

Publications

  1. Uncertainty principles and applications of quaternion windowed linear canonical transform- A. Prasad and M. Kundu - Optik, 272 (2023). 170220.
  2. Pseudo-differential operator in quaternion space - M. Kundu and A. Prasad - Mathematical Methods in Applied Sciences, 46(9), (2023): 10749-10766
  3. Multidimensional linear canonical transform and convolution - M. Kundu, A. Prasad, R. K. Verma - Journal of the Ramanujan Mathematical Society, 37(2), 159-171 (2022)
  4. Uncertainty principles associated with quaternion linear canonical transform and their estimates - M. Kundu, A. Prasad - Mathematical Methods in the Applied Sciences, 45(8), 4772-4790 (2022)
  5. Convolution, correlation and spectrum of functions associated with linear canonical transform - M. Kundu, A. Prasad - Optik, 249, 168256 (2022)
  6. Linear canonical wave packet transform- A. Prasad and M. Kundu [Corresponding] - Integral Transforms and Special Functions, 32(11), 893-911 (2021)

Invited Talk

  1. Delivered invited lecture entitled "How to prepare for CSIR NET exam" in two days workshop on "Topics of Mathematical Sciences for CSIR NET/JRF exam (Online mode)" organized by the Department of Mathematics, Govt. Pt. Shyamacharan Shukla College, Dharsiwa, Raipur (C.G.) during 14th to 15th October 2022.

Journal publications

  1. Prasad, A., & Kundu, M. Spectrum of quaternion signals associated with quaternion linear canonical transform. J. Franklin Inst. 361 (2), 764–775 (2024). https://doi.org/10.1016/j.jfranklin.2023.12.023
  2. Varghese, S., & Kundu, M. Spectrum‐Related theories in the framework of quadratic Phase Fourier Transform. Math. Methods Appl. Sci. (2024) https://doi.org/10.1002/mma.10642
  3. Varghese, S., Prasad, A., & Kundu, M. Properties and applications of quaternion quadratic phase Fourier transforms. J. Pseudo-Differ. Oper. Appl. 15 (4) (2024). https://doi.org/10.1007/s11868-024-00652-9
  4. Varghese, S., & Kundu, M. Revisit of uncertainty principles via OPS method approach in the framework of quaternion quadratic phase Fourier transform. Int. J. Geom. Methods Mod. Phys. 2550007 (2024) https://doi.org/10.1142/s0219887825500070
  5. Kundu, M., Different types of Plancherel’s theorems for square integrable functions associated with quaternion offset linear canonical transforms. J. Franklin Inst. 362 (7): 107649 (2025)

Contact Details

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