Prof. A Michael Alphonse

Associate Professor
Department of Mathematics

Birla Institute of Technology & Science, Pilani
Hyderabad Campus
Jawahar Nagar, Kapra Mandal
Dist.-Medchal-500 078
Telangana, India

Research Scholars

  1. Name: Tushar Kanta Pradhan                                                                                                                                                                                                                                                                    Title: STUDIES ON PSEUDO-DIFFERENTIAL OPERATORS AND THEIR APPLICATIONS                                                                                                                                          Status: Completed                                                                                                                                                                                                                                                                                            I am Co-Supervisor     
  2.  Name: A. Sri Sakti Swarup                                                                                                                                                                                                                                                                             Title: CLASS OF OPERATORS ON VARIABLE EXPONENT SEQUENCE SPACES AND THEIR CORRESPONDING ERGODIC VERSION                                          Status: Completed                                                                                                                                                                                                                                                                                            I am Supervisor


Papers Published in Journals: 
1. A. Michael Alphonse and Shobha Madan. On Ergodic Singular Integral Operators, Colloquium Mathematicum, Vol 66, 1994, Page:299-307.
2. A. Michael Alphonse and Shobha Madan. The Commutator of the Ergodic Hilbert Transform, Contemporary Mathematics Vol 189, 1995, Pages: 25–36 
3. A. Michael Alphonse, An End Point Estimate For Maximal Commutators, The Journal of Fourier Analysis  and Applications, V0l6, Issue 4, 2000, page: 449-456 
4. A. Michael Alphonse, Gollapudy Shailaja and Pooja Sinha, Domination on Circulant Graphs with two chord length, Electronic Notes in Discrete Mathematics 56 (2016) 1–6, Elsevier.
5. Manish Kumar, G. Sathish,  Michael Alphonse, Rachid Ait Maalem Lahcen,  A new RGB image encryption using generalized heat equation associated with generalized Vigen` e re-type table over symmetric group, Multimedia Tools and Applications, URL:, (2019), Springer Science+Business Media, LLC, part of Springer Nature 2019.
6. Sri Sakti Swarup and A Michael Alphonse, Hardy-Littlewood maximal operator and fractional Hardy-Littlewood maximal operator on variable sequence space, The Journal of the Indian Mathematical Society, Vol 91, Issue 1-2, 2024, Pages: 237-252.
7. Sri Sakti Swarup and A Michael Alphonse, Maximal Ergodic Theorem on Weighted Lp(X) Spaces, Accepted for publication in  The Journal of the Indian Mathematical Society. Date of Acceptance: 16-12-2023
8.  A Michael Alphonse and Sri Sakti Swarup, The Boundedness of Commutator for Singular Operators on Variable Exponent Sequence Spaces ℓp(·)(Z) and Their Corresponding Ergodic Version, The Australian Journal of Mathematical Analysis and Applications, Vol 21, Issue 1, 2024.                                                URL:
 Conference Papers:  
1. Sri Sakti Swarup and A Michael Alphonse, Relations Between Discrete Maximal Operators in Harmonic Analysis,  ICMC 2023: Proceedings of the Ninth International Conference on Mathematics and Computing pp 399–407, Springer.
2. A Michael Alphonse, Domination on Circulant Circ(n, {1,4}) Graphs, Proceedings of the 8th International Conference of IMBIC conducted at Kolkatta from 21-12-2014 to 23-12-2014