Publications

1. Anuj Kumar, Shubham Kumar Verma, Salah Boulaaras, On α-fractal functions and their applications to analyzing the S&P BSE Sensex in India, Chaos, Solitons & Fractals, 186, 115194, 2024.

2. Anuj Kumar, Sivananthan Sampath, Sampling and Average Sampling in Quasi Shift-Invariant Spaces, Numerical Functional Analysis and Optimization, 41(10), 1246-1271, 2020.

3. Anuj Kumar, Reconstruction of signals in quasi shift-invariant spaces from local averages, IEEE international conference on signal processing, VLSI and communication engineering, DOI:10.1109/ICSPVCE46182.2019.9092801, 1-5, 2020.

4.  Anuj Kumar, Dhiraj Patel, Sivananthan Sampath, Sampling and reconstruction in reproducing kernel subspaces of mixed Lebesgue spaces, Journal of Pseudo-Differential Operators and Applications, 11(2), 843-868, 2020.

5. Anuj Kumar, Sivananthan Sampath, Average sampling and reconstruction in shift-invariant spaces and variable bandwidth spaces, Applicable Analysis, 99(4), 672-699, 2020.

Conference Presentations

1. Presented a paper entitled “Some results of derivations on Hilbert algebras” in the International Conference on Pure and Applied Mathematics ICPAM-2024 Organized by Department of Mathematics, Janki Devi Memorial College, University of Delhi during February 22-23, 2024.

2. Presented a paper entitled “Reconstruction in B-spline spaces from local averages” in the International Conference on Mathematics and Applications ICMA-2024 Organized by Department of Mathematics, Mata Sundri College for Women, University of Delhi during January 10-12, 2024.

3. Presented a paper entitled “Average Sampling in B-Spline Spaces” in the International Conference on Analysis and Its Applications ICAA-23 Organized by Department of Mathematics, Shivaji College, University of Delhi during February 27-28, 2023.

4. Presented a paper entitled “Some results of f-homoderivations on a lattice” in the International Conference on Graph Theory, Networks and Combinatorics ICGNC 2023 Organized by Department of Mathematics, Ramanujan College, University of Delhi during January 10-12, 2023.

5. Presented a paper entitled “Reconstruction of signals in quasi shift-invariant spaces from local averages” in the IEEE International Conference on Signal Processing, VLSI and Communication Engineering ICSPVCE-2019 Organized by Department of Electronics and Communication Engineering, Delhi Technological University during March 28-30, 2019.

Invited Talks

1. Delivered an invited talk titled “Fractal functions in Lebesgue spaces” in the Meeting on Analysis, Dimensions and PDEs (MADP-2024) organized by the Department of Applied Sciences, IIIT Allahabad on July 27, 2024.

2. Resource person in “Training in Linear Algebra (TLA-2024)” held at Department of Applied Sciences, IIIT Allahabad during May 30- June 01, 2024.

3. Delivered an invited talk titled “Sampling of signals in shift-invariant spaces and graph signals” in the Conference on Graph Theory and Additive Combinatorics 2024 (CGAC-2024) organized by the Department of Applied Sciences, IIIT Allahabad during May 03-05, 2024.

4. Delivered an invited talk titled “Banach fixed point theorem and its applications” in the 2nd Workshop on Fractal Geometry and Related Fields 2024 (FGRF-2024) organized by the Department of Applied Sciences, IIIT Allahabad during April 05-07, 2024.

5. Resource person in “Instructional School for Mathematical Sciences (ISMS)-2023” held at Department of Mathematics, IIT Patna during July 11-15, 2023.