Publications

Research Articles and Papers

1. Aniruddha Deshmukh, Arbitrary v/s Random, Resonance-Journal of Science Education, Indian Academy of Sciences, Vol. 26, Issue 3, pp: 463-467, 2021.

2. Aniruddha Deshmukh, A note on Vector Space Axioms, Resonance-Journal of Science Education, Indian Academy of Sciences, Vol. 25, Issue 11, pp: 1547-1558, 2020. (Springer Link)

3. Aniruddha Deshukh and Dhananjay Gopal, Topology of non-triangular metric spaces and related fixed point results, Filomat, Vol. 35, Issue 11, pp. 3557-3570, 2021.

4. Aniruddha Deshmukh, Dhananjay Gopal and Vladimir Rakocevic, Two new iterative schemes to approximate fixed points of mappings, International Journal of Numerical Sciences and Simulation, 2022.

5. Aniruddha Deshmukh and Ashisha Kumar, End-point estimates of the totally-geodesic Radon transform on spaces of constant curvature: A unified approach, Integral Transforms and Special Functions (Volume and issue to be assigned), 2025. (arXiv preprint: arXiv:2408.13541).

Unpublished Articles

1. An Extrapolation Theorem in the setting of Hausdorff capacities (under review; arXiv:2510.04105).

2. Wavelet inversion of a weighted k-plane transform on Euclidean spaces (manuscript under preparation).

3. On the mapping properties of a radially power-weighted k-plane transform (under review).

4. On the boundedness of hypersingular integrals along certain radial hypersurfaces (under review; arXiv:2505.11851; joint work with Mr. SajinVincent and Dr. Vijay Kumar Sohani).

5. A unified inversion formula for the k-plane transform on constant curvature spaces using Wavelet-like transforms (under review).

6. Certain weighted Lp-improving estimates for the totally-geodesic k-plane transform on simply connected spaces of constant curvature (under review; arXiv:2502.06506).

7. On the rigidity of angles in determining geometry (arXiv:2310.13722)

8. A study of basic topological properties of non-triangular metric spaces and a related fixed point result (under review).

Books