Welcome to my homepage!

I am a postdoctoral fellow at the Department of Mathematics, Indian Institute of Science, Bengaluru, India. Priorly, I was a postdoctoral fellow at the Centre for Applicable Mathematics, Tata Institute of Fundamental Research, Bengaluru. I did Ph.D. from the Department of Mathematics, Indian Institute of Technology Guwahati.

 Area of my research interest is Harmonic Analysis. The primary theme of my work is based on the uniqueness pairs for the Fourier transform on the Euclidean spaces and certain Lie groups.

Email :  somnath.g.math@gmail.com  //  somnathghosh@iisc.ac.in

Publications and Preprints


7. Density of exponentials and Perron-Frobenius operators, S. Ghosh and D. Giri, (submitted).

6. Spherical means on M\'{e}tivier groups and support theorem, R. K. Dalai, S. Ghosh and R. K. Srivastava, (submitted). [arXiv]

5. Unbounded Weyl transform on the Euclidean motion group and Heisenberg motion group, S. Ghosh and R. K. Srivastava, J. Operator Theory 90 (2023), no. 2, 605-623. [Journal] [arXiv]

4. Boundedness and uniqueness of quaternion Weyl transform, R. K. Dalai, S. Ghosh and R. K. Srivastava, J. Pseudo-Differ. Oper. Appl. 13 (2022), no. 2, Paper No. 21, 24 pp. [Journal] [arXiv]

3. Benedicks-Amrein-Berthier theorem for the Heisenberg motion group, S. Ghosh and R. K. Srivastava, Bull. Lond. Math. Soc. 54 (2022), no. 2, 526-539. [Journal] [arXiv]

2. Heisenberg uniqueness pairs for the Fourier transform on the Heisenberg group, S. Ghosh and R. K. Srivastava, Bull. Sci. Math. 166 (2021), Paper No. 102941, 23 pp. [Journal] [arXiv]

1. Heisenberg uniqueness pairs on the Euclidean spaces and the motion group, A. Chattopadhyay, S. Ghosh, D. K. Giri and R. K. Srivastava, C. R. Math. Acad. Sci. Paris 358 (2020), no. 3, 365-377. [Journal]

Teaching Experience


1.  Given a series of talks on Heisenberg uniqueness pair at TIFR CAM.

2. Teaching Assistant at Indian Institute of Technology Guwahati, TIFR CAM, Bengaluru and IISc, Bengaluru.

      Courses: Linear algebra, Single variable calculus, Multivariable calculus, ODE, Complex analysis, Probability and Statistics.