Assistant Professor

Dr Sandeep Kumar Verma

Department of Mathematics

Interests

  1. Pseudo-Differential Operators
  2. Wavelet Analysis
  3. Distribution Theory

Education

2014

Vinoba Bhave University, Hazaribag,
India
BSc (Hons)

2016

Indian Institute of Technology (ISM), Dhanbad,
India
MSc (Mathematics & Computing)

2021

Indian Institute of Technology (ISM), Dhanbad,
India
PhD

Research Interest

  • My research interests lie in the domain of Harmonic Analysis. In particular, I am interested to develop the theory of Pseudo-Differential Operators and Wavelet Analysis.

Awards & Fellowships

  • 2014-2016- Institute MCM Scholarship- Indian Institute of Technology (ISM), Dhanbad
  • 2017 & 2019- Awarded with CSIR-Junior Research Fellowship- CSIR-UGC
  • 2017-GATE- Organizing Institute Indian Institute of Technology, Roorkee
  • 2018 –DST-International Travel Support- SERB- DST
  • 2016-2021 – Institute PhD Fellowship – Indian Institute of Technology (ISM), Dhanbad

Memberships

  • Life Member, Indian Science Congress Association, India
  • Life Member, Indian Mathematical Society, India
  • Life Member, Society of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad

Publications

JOURNALS
  • Variation diminishing convolution kernels associated with fractional Hankel-type transform, Akhilesh Prasad, S. K. Verma and U. K. Mandal - Afrika Matematika, (2021), doi.org/10.1007/s13370-021-00915-4
  • Composition of wavelet transforms, and wave packet transform involving Kontorovich-Lebedev transform, Akhilesh Prasad, S. K. Verma and U. K. Mandal -Filomat, 35 (1) (2021)
  • Wavelet transforms associated with the index Whittaker transform, Akhilesh Prasad, Jeetendrasingh Maan and Sandeep Kumar Verma - Mathematical Methods in the Applied Sciences, 44(13), 10734-10752 (2021)
  • Characterization of Weyl operator in terms of Mehler–Fock transform - Sandeep Kumar Verma and Akhilesh Prasad - Mathematical Methods in the Applied Sciences- 43(15), 9119-9128 (2020)
  • Zero-order Mehler-Fock transform and Sobolevtype space- Akhilesh Prasad, U. K. Mandal and S. K. Verma- Mathematical Inequalities & Applications, 22 (2), 761-775 (2020)
  • Heat kernel in the framework of zero order MehlerFock transform, Akhilesh Prasad and S. K. Verma- Complex Analysis and Operator Theory, 13 (7), 3235-3249 (2019)
  • The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces, Akhilesh Prasad and S. K. Verma- Filomat, 33 (8), 2457-2469 (2019)
  • Continuous wavelet transform associated with zero order Mehler-Fock transform and its composition, Akhilesh Prasad and S. K. Verma- International Journal of Wavelets, Multiresolution and Information Processing, 16 (6), pp.16 (2018)
  • The convolution for zero order MehlerFock transform and pseudo-differential operator, Akhilesh Prasad, S. K. Verma and U. K. Mandal- Integral Transforms and Special Functions, 29 (3), 189-206 (2018)

Contact Details

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