School of Mathematics and Statistical Sciences, IIT Mandi

Dr. Saswata Adhikari

Assistant Professor, IIT Mandi

Research area: Harmonic Analysis

  1. My research interest is frame theory on the Heisenberg group. Frames were first studied in connection with the non-uniform sampling of bandlimited functions. The theory of frames has been applied in various fields such as sampling theory, time frequency analysis, wavelet theory, digital image and signal processing.
  2. Another area of my research is to study integral operators such as Hardy-Littlewood maximal operator , fractional integral operator that are used as very important tools in Harmonic analysis as well as in partial differential equations.
  3. I also work on Dunkl theory. The Dunkl operators are differential-difference operators introduced by Dunkl in 1989. In the Dunkl setting there are similar notions like Dunkl operators, Dunkl transform which are generalizations of partial differential operator and Fourier transform respectively.

Phone: +91 8617513059

Email: saswata@iitmandi.ac.in

Education

 
 
 
 
 
(2011-2017)

Ph.D

Indian Institute of Technology Madras, Tamil Nadu.

 
 
 
 
 
(2009-2011)

M.Sc

Indian Institute of Technology Madras, Tamil Nadu

 
 
 
 
 
(2006-2009)

B.Sc.

Ramakrishna mission residential college, Narendrapur, West Bengal

 
 
 
(1998-2006)

School

Jalchak Nateswari Netaji Vidyayatan, West Bengal

Students

Ph.D students:
1. Sumit Parashar (ongoing, 2022- Present)
2. Sourav Dutta (ongoing, 2023-Present)
M.Sc. Project students:
1. 2022-2023: Kartik (V21063)

Academic Experience

 
 
 
 
 
(January 2022- current)

Assistant Professor

School of Mathematical and Statistical Sciences (SMSS),IIT Mandi, India.

 
 
 
(January 2020- November 2021)

Assistant Professor,

SRM University AP, Andhra Pradesh

Post doctoral fellow

 
 
 
 
 
( August 2017- August 2019)

Post doctoralfellow,

National institute of Science Education and Research Bhubaneswar, Odisha

Publications

  • R. Radha and Saswata Adhikari: Frames and Riesz bases of twisted shift-invariant spaces in L^2(R^2n), Journal of Mathematical Analysis and Applications, Vol 434, 1442-1461, 2016.
  • R. Radha and Saswata Adhikari: A sampling theorem for the twisted shift-invariant space, Advances in Pure and Applied Mathematics, Vol 8, No 4, 293-305, 2017.
  • R. Radha and Saswata Adhikari: Left translates of a square integrable function on the Heisenberg group, Collectanea Mathematica, Vol 71, 239-262, 2020.
  • R. Radha and Saswata Adhikari: Shift-invariant spaces with countably many mutually orthogonal generators on the Heisenberg group, Houston Journal of Mathematics, Vol 46, No 2, 435-463, 2020.
  • Saswata Adhikari, V.P. Anoop and S. Parui: Existence of an extremal of Sobolev inequality associated with Dunkl gradient and of Stein- Weiss inequality for D-Riesz potential, Complex Analysis and Operator Theory, https://doi.org/10.1007/s11785-020-01068-1 (2021).
  • Saswata Adhikari and R. Radha: A study of oblique dual of a system of left translates on the Heisenberg group, Results in Mathematics, https://doi.org/10.1007/s00025-023-01842-5 (2023)

    • Courses Taught

    AT IIT Mandi

  • DS301 - Mathematical Foundation of data science (Spring 2022)
  • MA511- Real Analysis (Autumn 2022)
  • MA521- Functional Analysis (Spring 2023)

    • At SRM University AP

  • Single variable calculus (Autumn 2020)
  • Multivariable Calculus (Spring 2020, Spring 2021)
  • Abstract Algebra (Spring 2020)
  • Ordinary differential equation (Autumn 2021)