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Unpublished Articles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

2. On the boundedness of hypersingular integrals along certain radial hypersurfaces (under review; arXiv:2505.11851).

3. A unified approach to the Lp-boundedness and inversion of the k-plane transform on spaces of constant curvature (under review).

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

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

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

Books