Publications of Ajay Kumar

1. Ajit Kaur Chilana and Ajay Kumar, (1979) Spectral synthesis in Segal algebras on hypergroups. Pacific Journal of Mathematics 80,59-76(USA) ISSN 0030-8730 Mathematical Reviews 80g:430011 Zentralblatt fur Mathematik 371.43012(402.43004). 

2. Ajit Kaur Chilana and Ajay Kumar, (1979) Ultra strong Ditkin sets in hypergroups. Proc. Amer. Math. Soc. 77,353-358(USA) ISSN 0002-9939Mathematical Reviews 80g:43012 Zentralblatt fur Mathematik 388.43006(414.43005). 

3. Ajay Kumar and Ajit Iqbal Singh, (1981) Spectral synthesis in product and quotients of hypergroups. Pacific Journal of Mathematics 94,177-194(USA) ISSN 0030-8730 ISSN 0030-8730  Mathematical Reviews 82h:43005 Zentralblatt fur Mathematik 415.43010(458.43010), 

4. Wilfried Hauenschild, Eberhard Kaniuth and Ajay Kumar, (1983) Ideal structure of Beurling algebras on [FC]-` groups. Journal of Functional Analysis 51,213-228(USA) ISSN 0022-1236. Mathematical Reviews 84m:22007 Zentralblatt fur Mathematik 529.43005. 

5. Wilfried Hauenschild, Eberhard Kaniuth and Ajay Kumar, (1984) Harmonic analysis on central hypergroups and induced representations. Pacific Journal of Mathematics 110,83-112(USA) ISSN 0030-8730 ISSN 0030-8730Mathematical Reviews 85g:43015 Zentralblatt fur Mathematik 476.43007(528.43005).

6. Ajay Kumar, (1986) Beurling algebras and structure of locally compact groups, Modern Analysis and its applications. Prentice Hall of India,229-240(India) ISBN -0-87692-439-9 ISBN -0-87692-439-9Mathematical Reviews 89d:22008 Zentralblatt fur Mathematik 667.43003.

7. Ajay Kumar and Ajit Iqbal Singh, (1988) Counter examples in spectral synthesis on hypergroups. Rendiconti di Math. 8,147-155(Italy) , ISSN 1120-7183Mathematical Reviews 91i:43004 Zentralblatt fur Mathematik 707.43003.

8. Ajay Kumar and Ajit Iqbal Singh, (1989) A dichotomy theorem for random walks on hypergroups. Lecture Notes in Mathematics, Springer Verlag  1379 ,179-184 (Germany) , ISBN: 978-3-540-51401-5. Mathematical Reviews 90i:43004 Zentralblatt fur Mathematik 669.60017.

9. Oliver Gebuhrer and Ajay Kumar, (1989) Wiener property for a class of discrete hypergroups. Mathematische Zeitschrift 202,271-274 (Germany) ISSN 0025-5874Mathematical Reviews 90i:43004 Zentralblatt fur Mathematik 672.43004,.

10. Siegfried Echterhoff, Eberhard Kaniuth and Ajay Kumar, (1991) Qualitative uncertainty principle for locally compact groups. Forum Mathematicum 3, 355-369(Germany) ISSN 1435-5337.ISSN 1435-5337.Mathematical Reviews 98a:43005 Zentralblatt fur Mathematik 725.43006.

11. Ajay Kumar, (1992) Qualitative uncertainty principle for hypergroups. Lecture Notes in Mathematics, Springer Verlag 1511,1-9(Germany) ISBN 3-540-55365-7Mathematical Reviews 94a:43012 Zentralblatt fur Mathematik 781.43003 .

12. Heinrich Begehr and Ajay Kumar, (1994) Bi-analytic functions of several complex variables. Complex Variables, Theory and Applications 24,89-106(USA) ISSN 1747-6933 ISSN 1747-6933 Mathematical Reviews 95k:32008 Zentralblatt fur Mathematik 794.32005 

13. Ajay Kumar, (1994) A generalized Riemann boundary problem in two variables. Arch. Math. 62,531-538 (Germany) ISSN0003-889X Mathematical Reviews 95g:32995 Zentralblatt fur Mathematik 803.32001, 

14. Ajay Kumar, (1994)Riemann Hilbert problem for a class of nth order systems. Complex Variables, Theory and Applications 25,11-22(USA) ISSN 1747-6933Mathematical Reviews 95k:30100 Zentralblatt fur Mathematik 804.30036 

15. Ajay Kumar and Allan M. Sinclair, (1998) Equivalence of norms on operator space tensor product of C*-algebras. Transactions of American Mathematical Society 350, 2033-2048 (USA) ISSN 0002-9947Mathematical Reviews 99a:46103 Zentralblatt fur Mathematik 906.46043,.

16. Ajay Kumar, (2001) Qualitative uncertainty principle for certain hypergroups. Glasnik Mathematicki 36 ,33-38 (Crotia) , ISSN 0017-095X Mathematical Reviews 2002h:43006 Zentralblatt fur Mathematik 982.43005.

17. Ajay Kumar, (2001) Operator space projective tensor product of C*-algebras. Mathematische Zeitschrift 237,211-217 (Germany) ISSN 0025-5874 ISSN 0025-5874 Mathematical Reviews 2002c:46114 Zentralblatt fur Mathematik 1035.46040,.

18. Ajay Kumar, (2001) Involution and the Haagerup tensor product, Proc. Edinburgh Math. Soc. 44,317-322 (U.K.) , ISSN 0013-0915Mathematical Reviews 2002c:46066 Zentralblatt fur Mathematik 1011.46051.

19. Eberhard Kaniuth and Ajay Kumar , (2001) Hardy’s Theorem for simply connected Nilpotent Lie groups. Math. Proc. Cambridge Phil. Soc. 131,487-494 (U.K.) ISSN 0305-0041.ISSN 0305-0041. Mathematical Reviews 2002c:22007 Zentralblatt fur Mathematik 996.43004, 

20. Ajay Kumar and Chet Raj Bhatta, (2003) Uniform version of Wiener Tauberian theorem, Journal of Mathematical Sciences 2,63-71(India) Mathematical Reviews 2005h:43006 Zentralblatt fur Mathematik 1079.43006

21. Ajay Kumar and Chet Raj Bhatta, (2004) An Uncertainty Principle like Hardy’s theorem for nilpotent Lie groups. Journal of Australian Math.Soc. 77,47-53 (Australia) ISSN 1446-7887.Mathematical Reviews 2005f:43005 Zentralblatt fur Mathematik 1066.22006, 

22. Ajay Kumar and Ravi Prakash, (2005) Boundary value problems for Poisson equation and bi-analytic functions, Complex Variables, Theory and Applications 50,597-608 (U.S.A.) ISSN 0278-1077Mathematical Reviews 2006c:30056 Zentralblatt fur Mathematik 1188.30058.

23. Heinrich Begehr and Ajay Kumar, (2005) Boundary value problems for higher order inhomogeneous equations I, Analysis,International Mathematical journal of Analysis and its applications, 25,55-71(Germany) ISSN 2196-6753.Mathematical Reviews 2006d:30067 Zentralblatt fur Mathematik 1077.30,

24. Heinrich Begehr, Ajay Kumar, Dieter Schmersau and Judith C.Vanegas,(2005) Mixed complex boundary value problems in complex analysis, Intern. Connf. On Finite or Infinite Dimensional Complex Analysis and Applications. Eds. H. Kazama, M. Morimoto, C.C. Yang. Kyushu Univ. Press, Fukuoka, 25-40. ISBN 4-87378-899-4 ISBN 4-87378-899-4 Mathematical Reviews 2359680, Zentralblatt fur Mathematik 1129.30317.

25. Ajay Kumar and Ravi Prakash, (2006) Mixed boundary value problems for higher order inhomogeneous equations, Complex Variables and Elliptic Equations 51,209-223 (USA), ISSN 1747-6933 Mathematical Reviews 2006j:30086 Zentralblatt fur Mathematik 1092.30056 

26. Heinrich Begehr and Ajay Kumar, (2006) Boundary value problems for bi-polyanalytic functions, Applicable Analysis 85,1045-1077 (USA),  ISSN 0003-6811 Mathematical Reviews 2007f:30073 Zentralblatt fur Mathematik 1105.30032, 

27. Heinrich Begehr and Ajay Kumar, (2007) Boundary value problems for higher order inhomogeneous equations II, Analysis, International Mathematical journal of Analysis and its applications, 27, 359-373 (Germany) ISSN 2196-6753 Mathematical Reviews 2373661,Zentralblatt fur Mathematik 1137.30010.

28. Ajay Kumar and Ravi Prakash, (2007) Iterated Boundary Value Problems for the inhomogeneous Polyanalytic equation, Complex Variables and Elliptic Equations 52,921-932 (USA) ISSN 1747-6933Mathematical Reviews 2374962(2008m:30050) Zentralblatt fur Mathematik 1146.30031 

29. Ajay Kumar, (2007) Operator space structure of Banach Spaces, Math. Student 76,239-248 (India). ISSN 0019-5839 ISSN 0019-5839 Mathematical Reviews 2522941 Zentralblatt fur Mathematik 1194.46079 Zentralblatt fur Mathematik 1194.46079, 

30. Ajay Kumar and Ravi Prakash, (2008) Neumann and Mixed boundary value problem, Journal of Applied Functional Analysis 3, 399- 417 (USA). , ISSN 1559-1948 Mathematical Reviews 2387470(2009a:30096) Zentralblatt fur Mathematik 1165.30026.

31. Ajay Kumar and Ravi Prakash, (2008) Dirichlet problem for Inhomogeneous Polyharmonic equation, Complex Variables and Elliptic Equations 53, 643-651 (USA). ISSN 1747-6933. Mathematical Reviews 2431345 ( 2009i : 31003) Zentralblatt fur Mathematik 1159.31302.

32. Ranjana Jain and Ajay Kumar, (2008) Operator space tensor product of C*-algebras, Mathematische Zeitschrift 260, 805-811 (Germany). ISSN 0025-5874. Mathematical Reviews 2443331(2009i:46098) Zentralblatt fur Mathematik 1165.46030.

33. Ajay Kumar and Mukund Madhav Mishra, (2008) Polyharmonic Dirichlet problem on the Heisenberg group. Complex Variables and Elliptic Equations 53, 1103-1110. (USA). ISSN 1747-6933. Mathematical Reviews 2467385 (2009m:35058) Zentralblatt fur Mathematik 1177.22005. 

34. Arun Chaudhary and Ajay Kumar, (2009) Boundary value problems in the upper half plane. Complex Variables and Elliptic Equations 54(5), 441-448 (USA). ISSN 1747-6933. Mathematical Reviews 2524139 ( 2010d:30054) Zentralblatt fur Mathematik 1166.30021. 

35. Ajay Kumar and Ravi Prakash, (2009) Mixed boundary value problem for inhomogeneous Poly-analytic-harmonic equation, More Progress in Analysis- Proceedings of the 5th International ISAAC Congress, Catania Eds. H. Begehr, F. Niolosi ,World Scientific, Singapore,1149-1161. ISBN-10 981-283-562-8. Zentralblatt fur Mathematik 1183.30041.

36. Heinrich Begehr, Arun Chaudhary and Ajay Kumar, (2010) Bi-polyanalytic functions in the upper half plane. Complex Variables and Elliptic Equations 55,305-316 (USA). ISSN 1747-6933. Mathematical Reviews 2011e;30111 Zentralblatt fur Mathematik 1188.30057. 

37. Arun Chaudhary and Ajay Kumar, (2010) Mixed Boundary value problems in the upper half plane. Journal of Applied Functional Analysis 5, 209-220 (USA). ISSN 1559-1948. Mathematical Reviews 2675595 ( 2011g:30102).Zentralblatt fur Mathematik 1238.30035 

38. Ajay Kumar and Mukund Madhav Mishra, (2010) Green’s functions on the Heisenberg Group. Analysis, International Mathematical journal of Analysis and its applications 30,147-155(Germany). ISSN 2196-6753. Mathematical Reviews 2604184(2011d;22008 f) Zentralblatt fur Mathematik 1197.22005.

39. Ranjana Jain and Ajay Kumar ,(2011) Ideals in operator space projective tensor product of C*-algebras, J. Aust. Math. Soc. 91, 275-288.(Australia). ISSN 1446-7887. Also available http://arxiv.org/abs/1106.3143. Mathematical Reviews 2861849 Zentralblatt fur Mathematik 1235.46050

40. Ranjana Jain and Ajay Kumar (2011), Projective tensor product, Proc. Of 21 Annual conference  Jammu Mathematical Society. 27-40. ISBN 978-81-910015-1-8

41. Ajay Kumar and Vandana Rajpal (2012) “Symmetry and quasi-centrality of operator space projective tensor product”  Archiv der Mathematik. 99 , 519–529 (Germany). ISSN: 0926-2601 (Print) 1572-929X (Online)  Available also on http://arxiv.org/abs/1205.1679. Mathematical Reviews 3001555 . Zentralblatt fur Mathematik  1266.46044 

42. Ajay Kumar and Mukund Madhav Mishra (2013),Green functions and related boundary value problems on the Heisenberg group.  Complex Variables and Elliptic Equations 58, 547-556(USA). ISSN 1747-6933. Available online DOI:10.1080/17476933.2012.693482. Mathematical Reviews 3038746  . Zentralblatt fur Mathematik  1268.22008 

43. Ajay Kumar and Mukund Madhav Mishra (2013), Powers of sub-Laplacian on step two nilpotent Lie groups. Journal of Geometric Analysis 23, 1559-1570(USA). ISSN 1050-6926. Available online DOI 10.1007/s12220-012-9298-0. Mathematical Reviews 3078364 . Zentralblatt fur Mathematik  1280.22014

44. Ranjana Jain and Ajay Kumar, (2013) Spectral Synthesis for the Operator space projective tensor product of C*-algebras". Bulletin of the Malaysian Mathematical Sciences Society 36,855-864 (Malaysia). ISSN 0126-6705. Also available on . http://arxiv.org/abs/1108.3208. Mathematical Reviews 3108780 . Zentralblatt fur Mathematik 1286.46062  

45. Ranjana Jain and Ajay kumar, (2014) Operator space tensor product of C*algebras: Embedding into second dual and ideal structure, Proc. Edinburgh Math. Soc.57.505-519.(U.K.). ISSN 0013-0915. Available on arXiv:1106.2644v. Available online DOI: http://dx.doi.org/10.1017/S001309151300045X. Mathematical Reviews  3200321 Zentralblatt fur Mathematik 1303.46042  

46. Ajay Kumar and Vandana Rajpal,(2014) -Regularity of Operator Space Projective Tensor Product of C*-Algebras”  Journal of Applied Functional Analysis 9, 70-80. (USA). ISSN 1559-1948. Also  Available on http://arxiv.org/abs/1112.0444. Mathematical Reviews  3183838 Zentralblatt fur Mathematik 1367.46046

47. Ajay Kumar, (2014) From Fourier series to Harmonic analysis on locally compact groups, Math. Student  83,87-107(India) ISSN 0019-5839.Mathematical Reviews  3310043 

48. Ajay Kumar and Vandana Rajpal, (2014)“ Projective tensor product of C*-algebras”  Advances in Pure Mathematics  4, 176-188. ISSN 2160-0368. Also available on http://arxiv.org/abs/1305.0791.

49. Mukund Madhav Mishra, Ajay Kumar and Shivani Dubey (2014) “Green's function for certain domains in the Heisenberg Group Hn “  Boundary Value Problems 2014,2014:182(USA). , ISSN 1687-27770 Also Available on http://arxiv.org/abs/1308.5643. Published online http://www.boundaryvalueproblems.com/content/2014/1/182. Mathematical Reviews 3286109  . Zentralblatt fur Mathematik 1304.22008.

50. Ashish Bansal and Ajay Kumar (2015) “Generalized analogs of the Heisenberg uncertainty inequality”  Journal of Inequalities and Applications 2015:168, 1-15. (USA). ISSN 1029-242X. DOI 10.1186/s13660-015-0691-7R   http://arxiv.org/abs/1410.3050 Mathematical Reviews 3351169. Zbl 06561531 . Zentralblatt fur Mathematik 0651531

51. Shivani Dubey, Ajay Kumar and Mukund Madhav Mishra,(2015) "Green's function for a slice of the Koranyi ball  in the Heisenberg Group Hn," International Journal of Mathematics and Mathematical Sciences,(USA) Volume 2015, Article ID 460461, 7 pages http://dx.doi.org/10.1155/2015/460461, ISSN 0161-1712. Mathematical Reviews  3413058

52. Vandana Rajpal, Ajay Kumar and Takashi Itoh,( 2015) “Schur  tensor product of operator spaces” Forum Mathematicum 27,  3635 – 3655(Germany) DOI 10.1515/ forum-2013-0142 Available on http://arxiv.org/abs/1308.4538. ISSN 1435-5337 Mathematical Reviews  3420353, . Zentralblatt fur Mathematik 06505814. 

53. Ashish Bansal and Ajay Kumar (2016) "Heisenberg Uncertainty Inequality for Gabor Transform"   Journal of Mathematical Inequalities 10, 737-749 ISSN: 1846-579X (print), 1848-9575 (online)  Available on http://arxiv.org/abs/1507.00446  and online at http://jmi.ele-math.com/forthcoming . Mathematical Reviews  3565149 Zentralblatt fur Mathematik 06649793

54. Shivani Dubey, Ajay Kumar and Mukund Madhav Mishra,(2016) Neumann boundary value problem in domains of the Heisenberg Group Hn  Potential Analysis 45, 119-133. ISSN: 0926-2601 (Print) 1572-929X (Online) Published online http://dx.doi.org/10.1007/s11118-016-9538-1 Also Available on http://arxiv.org/abs/1411.6838 Mathematical Reviews 3511807 . Zentralblatt fur Mathematik 06598966

55. Ajay Kumar and Vandana Rajpal (2016),” Arens regularity of projective tensor products”  Archiv der Mathematik 107, 531-541. ISSN: 0003-889X (Print) 1420-8938 (Online) ISSN: 0003-889X (Print) 1420-8938 (Online) Available on arxiv:1305.0791v1 [math.OA]. Published online DOI: 10.1007/s00013-016-0942-y Mathematical Reviews 3562381 Zentralblatt fur Mathematik 06668330

56. Ashish Bansal and Ajay Kumar (2017) "Qualitative Uncertainty Principle for Gabor transform”   Bulletin Korean Mathematics Society 54,71-84. pISSN: 1015-8634 / eISSN: 2234-3016  Available also on http://arxiv.org/abs/1508.05475 Mathematical Reviews 3614563 Zentralblatt fur Mathematik 06699727.

57. Shivani Dubey, Ajay Kumar and Mukund Madhav Mishra (2017), "Polyharmonic Neumann and mixed boundary value problems in the Heisenberg group Hn".  Complex Variables and Elliptic Equations 62,no.10,1506-1518. ISSN: 1747-6933 (Print) 1747-6941 (Online) DOI: 10.1080/17476933.2016.1278439.Available on   http://arxiv.org/abs/1511.00079. Mathematical Reviews 3677950 , Zentralblatt fur Mathematik 06774297

58. Preeti Luthra and Ajay Kumar (2017), Embeddings and $C^*$-envelopes of exact operator systems.  Bull.Aust.math.Soc. 96,issue 2 , 274-285. ISSN: 0004-9727 (Print), 1755-1633 (Online) DOI: https://doi.org/10.1017/S0004972717000284 Available on http://arxiv.org/abs/1603.01491 Mathematical Reviews 3703909, Zentralblatt fur Mathematik 06792044.

59. Jyoti Sharma and Ajay Kumar (2017)“Qualitative uncertainty principle for Gabor transform on certain locally compact groups”, Advances in Pure and Applied Mathematics-  9(3), 205-‌220,  De Gruyter. Online published on DOI: https://doi.org/10.1515/apam-2017-0050.Mathematical Reviews 3819539 ,Zentralblatt fur Mathematik  1394.43003

60. Preeti Luthra, Ajay Kumar and Vandana Rajpal (2018), Polynomials in operator space theory:Matrix ordering and algebraic aspects,  Positivity –Springer, 22, 629-652 ISSN: 1385-1292 (Print) 1572-9281 (Online) Available on https://link.springer.com/article/10.1007/s11117-017-0532-7  Also available on http://arxiv.org/abs/1504.02846 Mathematical Reviews  3780819 , Zentralblatt fur Mathematik  06873081

61. Preeti Luthra and Ajay Kumar (2018), Nuclearity properties and C*-envelopes of operator system inductive limits.    Journal of Korean Mathematical Society 55,1045-1061. Also available on http://arxiv.org/abs/1612.01421  Mathematical Reviews  3849349. Zentralblatt fur Mathematik  06945550.

62. Ashish Bansal, Ajay Kumar and  Jyoti Sharma (2019)  Hardy’s Theorem for  Gabor  transform . Journal Australian Mathematical Society 106(2), 143-159. Also available on http://arxiv.org/abs/1603.02784. Mathematical Reviews 3919375. Zentralblatt fur Mathematik  07039554.

63. Janson Antony , Ajay Kumar and Preeti Luthra (2019), Operator space tensor products and inductive limits . Journal of Mathematical Analysis and Applications 470 (1) 235-250. Mathematical Reviews 3865134. Zentralblatt fur Mathematik  06958706.

64. Vibha Madaan, Ajay kumar and V.Ravichandran (2019)   "Starlikeness associated with lemniscate of Bernoulli", Filomat 33:7, 1937–1955 https://doi.org/10.2298/FIL1907937M   Mathematical Reviews 4036351.Zentralblatt fur Mathematik 07535106.

65. Vibha Madaan, Ajay kumar and V.Ravichandran (2019)" Lemniscate convexity and other properties of generalized Bessel functions"  Studia Scientiarum Mathematicarum Hungarica. 56(4),404-419. . Mathematical Reviews 4048763 . Zentralblatt fur Mathematik 1449 300007.

            66. Arpit Kansal, Ajay kumar and Vandana Rajpal (2020) "Inductive Limit in the Category of TRO" Annals of Functional Analysis 11,748-760.  https://doi.org/10.1007/s43034-020-00052-2. Mathematical Reviews 4123842.Zentralblatt fur Mathematik 1460.46071.

            67. Vibha Madaan, Ajay kumar and V.Ravichandran (2020) "Radii of starlikeness and convexity of some entire functions" Bulletin of the Malaysian Mathematical Sciences Society 43(6), 4335-4359. https://doi.org/10.1007/s40840-020-00925-8. Mathematical Reviews 4166143. Zentralblatt fur Mathematik 1451 30011

68. Priyanka Kumari, Ajay Kumar and P.Trisandhya (2021)" Calibration Estimators for Quantitative Sensitive Mean Estimation Under  Successive Sampling"  Communications in Statistics – Theory and Methods 50 (6), 1341-1361. https://doi.org/10.1080/03610926.2019.1649430  Mathematical Reviews 4217713

69.  Jyoti Sharma and Ajay Kumar (2021) “Continuous abstract wavelet transform on homogeneous spaces” Georgian Mathematical Journal 28(5), 805-818. https://doi.org/10.1515/gmj-2020-2069.1. Mathematical Reviews 4319073.Zentralblatt fur Mathematik 1484.43008.

70. Surbhi Beniwal, Ajay Kumar and Preeti Luthra ( 2021) “Local operator system structures and their tensor products” Advances in Operator Theory.  https://doi.org/10.1007/s43036-021-00133-6.1. Mathematical Reviews 4234252

71. Vibha Madaan, Ajay kumar and V.Ravichandran (2021) “Estimates for initial coefficients of certain Bi-univalent functions"  Filomat 35(6),1993-2009.  https://doi.org/10.2298/FIL2106993M.Mathematical Reviews 43644050 

 72. Janson Antony and  Ajay Kumar ( 2021) “'Spectra of elements in operator space tensor products of C*-algebras”  Positivity.  https://doi.org/10.1007/s11117-021-00856-z Mathematical Reviews 4338555. Zentralblatt fur Mathematik 07437483 

73. Priyanka Kumari, P. Trisandhya and Ajay Kumar (2021) “Partial Optional Randomized Response Technique with Calibration Weighting to adjust Non-Response in Successive Sampling”  Communications for Statistical Applications and Methods 28(5), 493-510.

74.Surbhi Beniwal, Ajay Kumar and Preeti Luthra ( 2022) "Quantized Hilbert modules over local operator algebras and Hyperrigidity of local operator systems"  Annals of Functional Analysis 13(1). https://doi.org/10.1007/s43034-021-00146-5.1.Mathematical Reviews 4333775.

75. P.Trisandhaya, Priyanka Kumari and Ajay Kumar (2022) “Application of Item Sum Technique for Estimating Quantitative Sensitive Mean on Successive Moves Using Auxiliary Information” Communications in Statistics - Simulation and Computation 51(7), 3868-3887. https://doi.org/10.1080/03610918.2020.1722839

         76. Ajay Kumar and Preeti Luthra ( 2022) “ Operator System Theory: A Survey” In Mathematics , its Applications and History (ed. S.G. Dani), Narosa, India.8.1-8.20.

         77. Surbhi Beniwal, Ajay Kumar and Preeti Luthra ( 2022) “ Local version of approximation theorem and of λ- tensor product of operator systems”  Advances in Operator Theory. 7, 35. https://doi.org/10.1007/s43036-022-002006.Mathematical Reviews 4431296. 

         78.  Jyoti Sharma and Ajay Kumar (2022) “ Uncertainty principles on nilpotent groups” Khayyam Journal of Mathematics. 8(2), 143-162.Available online 10.22034/KJM.2022.305501.2374.Mathematical Reviews 4470847 

          79. Piyush Bansal, Ajay Kumar and Ashish Bansal (2022) “ Continuous Modulated Shearlet Transform”  Advances in Pure and Applied Mathematics,13(4), 29-57. Online , DOI: 10.21494/ISTE.OP.2022.0887.Mathematical Reviews 4505900 

          80.  Arpit Kansal, Ajay kumar and Vandana Rajpal  (2023) “Inductive limit in the category of C*-ternary rings” Bull. Korean Math. Soc.60 (2023), No. 1, pp. 137-148  Available online https://doi.org/10.4134/BKMS.b210939. Mathematical Reviews 4542606 .

          81. Surbhi Beniwal and  Ajay Kumar (2023) “Ternary rings of unbounded operators”  Banach Journal of Mathematical Analysis 17:2 https://doi.org/10.1007/s43037-022-00227-0 Mathematical Reviews 4502915. Zentralblatt fur Mathematik 07615871 

         82. Arpit Kansal, Ajay kumar and Vandana Rajpal  (2023) “ Representations of C*-ternary rings”  Comm. Korean Math. Soc.38 (2023), No. 1, pp. 123–135 Available online https://doi.org/10.4134/CKMS.c2104371.            . Mathematical Reviews 4542627.

            83.   Piyush Bansal, Ajay Kumar and Ashish Bansal (2023)  “Uncertainty Inequalities for Certain Connected Lie Groups” Annals of Functional Analysis. 14, No. 3, Article number: 57 Available online https://doi.org/10.1007/s43034-023-00280-2. Mathematical Reviews 4592382.

            84.  Arpit Kansal and Ajay Kumar (2023) “Haagerup tensor product of C*-ternary rings”  Journal of Mathematical Analysis and Applications. 528 no. 1, Paper No. 127482.Available online https://doi.org/10.1016/j.jmaa.2023.127482. Mathematical Reviews 4602983

         85. Kumari Priyanka , Pidugu Trisandhya  and Ajay Kumar( 2023) “Evaluating the Effect of Measurement Error under Randomized Response Techniques of the Sensitive Variable in Successive Sampling” Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 93 no. 4, 631-644.Available online  https://doi.org/10.1007/s40010-023-00836-w. Mathematical Reviews 4666441 

         86.   Arpit Kansal and  Ajay Kumar (2023) “Ideals in Haagerup tensor product of C*- ternary rings and TRO’s ” Operators and Matrices  17 Number 3, 731-748.Available online doi:10.7153/oam-2023-17-48. Mathematical Reviews 4667170.