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 (Volume and issue to be assigned), 2025. (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, 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Unpublished Articles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