Publications

Research Articles and Papers

1. Aniruddha Deshmukh, An Extrapolation Theorem in the Setting of Hausdorff Capacities, Collectanea Mathematica (published online; volume and issue to be assigned), 2026 (arXiv:2510.04105).

2. Aniruddha Deshmukh and Ashisha Kumar, Wavelet Inversion of a weighted k-plane transform on the Euclidean space, Contemporary Mathematics (special issue in the honour of 80th birthday of Prof. Boris Rubin), American Mathematical Society, 2026 (accepted).

3. Aniruddha Deshmukh, A unified inversion formula for the k-plane transform on constant curvature spaces using Wavelet-like transforms, Integral Transforms and Special Functions (accepted; Volume and issue to be assigned), 2026.

4. 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, Vol. 37, Issue 9, pp. 830-854, 2026. (arXiv preprint: arXiv:2408.13541).

5. Aniruddha Deshmukh, Dhananjay Gopal and Vladimir Rakocevic, Two new iterative schemes to approximate fixed points of mappings, International Journal of Numerical Sciences and Simulation, Vol. 24, Issue 4, pp. 1265-1309, 2022.

6. 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.

7. 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)

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

Unpublished Articles

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

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

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

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

Books