I am a Professor of Mathematics at Pontificia Universidad Javeriana in Bogotá-Colombia (updated information is available here). In the period 2023-2026 I was an FWO Research Fellow at Ghent University in Belgium, funded by the Research Foundation Flanders (FWO), and in 2026 an Oberwolfach Leibniz Fellow at MFO, the Mathematical Research Institute of Oberwolfach in Germany. My research focuses on harmonic analysis, PDE, and control theory at the Ghent Analysis and PDE Center, led by Prof. Dr. Michael Ruzhansky. In 2024, I conducted a research visit to UCLA under the supervision of Terence Tao. Since 2022, I have served as the Scientific Director of ICMAM Latin America (International Community of Mathematicians from Latin America), an organization dedicated to connecting mathematicians from developing countries, to increase the visibility of their scientific work and provide meaningful virtual mathematical experiences. Currently, I also serve on the Board of Directors of the International Society for Analysis, its Applications and Computation (ISAAC). Previously, in 2022, I was a member of the Chair of Computational Mathematics at the Deusto Institute of Science and Technology, under the supervision of Enrique Zuazua. I obtained my PhD in Mathematics in August 2023 under the supervision of M. Ruzhansky and J. Delgado.  I obtained my Bachelor’s degree in Mathematics from Universidad del Valle in Cali-Colombia.

• The link to my Homepage is here.
• The link to my Portfolio Site is here
• You can explore the ICMAM Books here!  A  series of volumes related to the mathematical research at ICMAM Latin America and published by the Springer Series of the Ghent Analysis and PDE Center.
• Link to my ResearchGate page here.
• Link to my Google Scholar page here.
• Link to my Zentralblatt MATH page here.
• Link to my Semantic Scholar page here.
• Link to my Publons page here.
• Link to my arXiv page here.

The list of my publications (click here for an updated list): 

Publications:

Published articles/ Books/ Chapters in Books/Preprints:

Published articles

1. Cardona, D.,
   Local smoothing estimates for bilinear Fourier integral operators, to appear in:
   Pacific J. Math. arXiv:2601.15667.
   Link 

2. Cardona, D., Delgado, J., Ruzhansky, M.
   Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and Lp-Lq-boundedness of Fourier integral operators on compact manifolds, to appear in:
   Bull. Math. Sci. arXiv:2408.06833.
   Link

3. Cardona, D., Ruzhansky, M.
   The weak (1,1) boundedness of Fourier integral operators with complex phases, arXiv:2402.09054.,
   J. London. Math. Soc.,  113: e70507, (2026).
   Link

4. Cardona, D., Delgado, J., Ruzhansky, M.
   Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups,
   J. Geom. Anal., Vol. 34, 374 (2024). arXiv:2209.12092.
   Link

5. Cardona, D.
   L2-Maximal functions on graded Lie groups,
   IMRN (Int. Math. Res. Not.), Vol. 2024 (14), 10776-10789, (2024). arXiv:2401.10830.
   Link

6. Cardona, D., Martinez, M. A.
   Boundedness of pseudo-differential operators on the torus revisited, I.,
   J. Math. Anal. Appl., 554, Vol. 2, No. 129959, 2025. arXiv:2502.20575.
   Link

7. Cardona, D., Kumar, V., Ruzhansky, M.
   Lp-Lq-Boundedness of pseudo-differential operators on graded Lie groups,
   New York J. Math. 31 (2025), 722-748. arXiv:2307.16094.
   Link 

8. Cardona, D., Chatzakou, M., Delgado, J., Kumar, V., Ruzhansky, M.
   Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations, to appear in:
   J. Math. Phys., Vol. 66 (2025), paper no. 081509. arXiv:2401.13750.
   Link

9. Cardona, D., Chatzakou, M., Ruzhansky, M., Toft, J.
   Schatten-von Neumann properties for Hörmander classes on compact Lie groups,
   to appear in:
   Forum Math., arXiv:2301.04044.
   Link

10. Cardona, D., Ruzhansky, M.
    Oscillating singular integral operators on graded Lie groups revisited, to appear in
    J. Lie Theory, arXiv:2201.12881.
    Link

11. Cardona, D., Delgado, J., Ruzhansky, M.
    A note on the local Weyl formula on compact Lie groups,
    J. Lie Theory, 34(1), 237–248, (2024). arXiv:2210.00311.
    Link

12. Cardona, D., Ruzhansky, M.
    Björk-Sjölin condition for strongly singular convolution operators on graded Lie groups,
    Math. Z., 302, 1957–1981, (2022). arXiv:2205.03456.
    Link

13. Cardona, D., Ruzhansky, M.
    Oscillating singular integral operators on compact Lie groups revisited,
    Math. Z., Vol. 303, 26 (2023). arXiv:2202.10531.
    Link

14. Cardona, D., Chatzakou, M., Delgado, J., Ruzhansky, M.
    Degenerate Schrödinger equations with irregular potentials, to appear in:
    Anal. Appl., arXiv:2302.02413.
    Link 

15. Cardona, D., Delgado, J., Ruzhansky, M.
    Lp-bounds for pseudo-differential operators on graded Lie groups,
    J. Geom. Anal., Vol. 31, 11603-11647, (2021). arXiv:1911.03397.
    Link

16. Cardona, D., Ruzhansky, M.
    Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups,
    Potential Analysis, Vol. 60, 965-1005, (2024). arXiv:1610.04701.
    Link

17. Cardona, D., Delgado, J., Ruzhansky, M.
    Boundedness of the dyadic maximal function on graded Lie groups,
    Quart. J. Math., Vol. 75(3), 809-834, (2024). arXiv:2301.08964.
    Link

18. Cardona, D., Federico, S., Ruzhansky, M.
    Subelliptic sharp Gårding inequality on compact Lie groups,
    Pure Appl. Anal., Vol. 6, No. 2, 455–485, (2024). arXiv:2110.00838.
    Link

19. Cardona, D., Ruzhansky, M.
    Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups,
    Collect. Math., Vol. 73, 477–504, (2022). arXiv:2101.12314.
    Link

20. Cardona, D., Delgado, J., Kumar, V., Ruzhansky, M.
    Lp-Lq-Boundedness of pseudo-differential operators on compact Lie groups,
    Osaka J. Math., 62(4), 587-608, (2025). arXiv:2310.16247.
    Link

21. Hurtado Quiceno, Andrea, V., Cardona, D.
    The constant in the Sobolev inequality and the boundedness of subelliptic operators on compact Lie groups,
    Commun. Anal. Mech. 17(4): 878–897, 2025.
    Link

22. Cardona, D., Ruzhansky, M.
    Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators,
    Arch. Math., Vol. 119, 189–198 (2022). arXiv:2104.09695.
    Link

23. Cardona, D., Ruzhansky, M.
    Hörmander condition for pseudo-multipliers associated to the harmonic oscillator,
    Hokkaido Math. J. Vol. 54, No. 1, (2025). arXiv:1810.01260.
    Link

24. Cardona, D., Kirilov, A., de Moraes, W. A., Pedroso, Kowacz, A.
    On the Sobolev boundedness of vector fields on compact Riemannian manifolds,
    J. Pseudo-Differ. Oper. Appl. 16, 52 (2025). arXiv:2404.00182.
    Link

25. Cardona, D., Kumar, V., Ruzhansky, M., Tokmagambetov, N.
    Lp-Lq boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations,
    Ann. Funct. Anal., 6 (2025), no. 3, 50.  arXiv:2005.04936.
    Link

26. Cardona, D., Kumar, V., Ruzhansky, M., Tokmagambetov, N.
    Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary,
    Adv. Oper. Theory.  10 (2025), 10(53). arXiv:2101.05883.
    Link

27. Cardona, D.
    Weighted boundedness for a class of local lacunary maximal operators,
    J. Math. Sci. 289, 926–943 (2025).
    Link

28. Cardona Sanchez, D.
    “Contributions to the theory of pseudo-differential operators: from compact to graded Lie groups,” Ghent University. Faculty of Sciences, Ghent, Belgium, 2023.
    PhD Thesis
    Link

29. Cardona, D., Delgado, J., Grajales, B., Ruzhansky, M.
    Control of the Cauchy problem on Hilbert spaces: a global approach via symbol criteria,
    Commun. Pure Appl. Anal., Vol. 22(11), 3295-3329, (2023). arXiv:2301.08999.
    Link

30. Cardona, D., Delgado, J., Ruzhansky, M.
    Drift diffusion equations with fractional diffusion on compact Lie groups,
    J. Evol. Equ., No. 22, Vol. 84, (2022). arXiv:2205.02320.
    Link

31. Cardona, D., Esquivel, L.
    On the Benjamin Ono equation in the half line,
    Nonlinear Analysis, Vol. 212, (2021), Art. 112427. arXiv:2101.06992.
    Link

32. Cardona, D., Kumar, V., Ruzhansky, M., Tokmagambetov, N.
    Global Functional calculus, lower/upper bounds and evolution equations on manifolds with boundary,
    Adv. Oper. Theory, 8, 50 (2023). arXiv:2101.02519.
    Link

33. Cardona, D., Kowacs, A.
    Global hypoellipticity of G-invariant operators on homogeneous vector-bundles,
    J. Pseudo-Differ. Oper. Appl., Vol. 16, 23 (2025). arXiv:2310.17288.
    Link

34. Cardona, D., Duduchava, R., Hendricks, A., Ruzhansky, M.
    Global pseudo-differential operators on the Lie group G=(−1,1)n, to appear in:
    J. Pseudo-Differ. Oper. Appl. arXiv:2209.09751.
    Link

35. Cardona, D., Delgado, J., Ruzhansky, M.
    Determinants and Plemelj-Smithies formulas,
    Monatsh. Math., Vol. 199, 459–482, (2022). arXiv:2012.13216.
    Link

36. Cardona, D., Messiouene, R., Senoussaoui, A.
    Periodic Fourier integral operators in Lp spaces,
    C. R. Math. Acad. Sci. Paris, Vol. 359 (5), (2021), 547-553.
    Link

37. Cardona, D., Esquivel, L.
    Sharp Strichartz estimates for the Schrödinger equation on the sphere,
    J. Pseudo-Differ. Oper. Appl., Vol. 12, 23 (2021). arXiv:2006.08165.
    Link

38. Cardona, D., Kumar, V.
    The nuclear trace of vector-valued pseudo-differential operators with applications to Index theory,
    Math. Nachr., Vol. 294(9), 1657-1683, (2021). arXiv:1901.10010.
    Link

39. Cardona, D., Ruzhansky, M.
    Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups,
    Complex Var. Elliptic Equ., Vol. 69(7), 1049–1082, (2023). arXiv:1901.06825.
    Link

40. Cardona, D.
    Sharp estimates for the Schrödinger equation associated to the twisted Laplacian,
    Rep. Math. Phys., Vol. 85(1), 29-39, (2020). arXiv:1810.02940.
    Link

41. Cardona, D. On the multiplier problem for the ball on graded Lie groups, submitted. arXiv:2012.11057.
    Link

42. Cardona, D., Delgado, J., Muñoz Tello, A.
    Gateaux differentiability of the Sobolev norm W(k,1)(M) on compact Riemannian manifolds,
    J. Anal.  to appear.
    Link

43. Cardona, D.
    Lp-estimates for a Schrödinger equation associated with the harmonic oscillator,
    Electron. J. Differential Equations, Vol. (2019), No. 20, pp. 1-10. arXiv:1808.02906.
    Link

44. Cardona, D., Kumar, V. Lp-boundedness and Lp-nuclearity of multilinear pseudo-differential operators on Zn and the torus Tn,
    J. Fourier Anal. Appl., Vol. 25 (6), 2973-3017, (2019). arXiv:1809.08380.
    Link
    
    

45. Cardona, D., Messiouene, R., Senoussaoui, A.
    Lp-bounds for Fourier integral operators on the torus,
    Complex Var. Elliptic Equ., 69(2), 252-269, (2022). arXiv:1807.09892.
    Link

46. Cardona, D.
    Pseudo-differential operators in Hölder spaces revisited. Weyl-Hörmander calculus and Ruzhansky-Turunen classes,
    Mediterr. J. Math., 16, no. 6. Art. 148, 17 pp. (2019). arXiv:1806.09245.
    Link

47. Cardona, D., Kumar, V., Del Corral, C.
    Dixmier traces for discrete pseudo-differential operators,
    J. Pseudo-Differ. Oper. Appl., Vol. 11, 647-656, (2020). arXiv:1911.03924.
    Link

48. Cardona, D.
    Besov continuity for global operators on compact Lie groups: the critical case p=q=∞,
    Trans. A. Razmadze Math. Inst, Vol. 172 (3), 354-360, (2018). arXiv:1807.00952.
    Link

49. Cardona, D.
    On the index of pseudo-differential operators on compact Lie groups,
    J. Pseudo-Differ. Oper. Appl., Vol. 10 (2), 285-305 (2019). arXiv:1805.10404.
    Link

50. Cardona, D. The weak type (1,p) for convolution operators on locally compact groups, arXiv:1803.02413.
    Link

51. Cardona, D., Delgado, J., Ruzhansky, M.
    Well-posedness for a class of pseudo-differential hyperbolic equations on the torus,
    Aequat. Math., Vol. 98, 1019–1038 (2024).
    Link

52. Cardona, D.
    Pseudo-differential operators on Zn with applications to discrete fractional integral operators,
    Bull. Iran. Math. Soc., 45 (4), 1227–1241, (2019). arXiv:1803.00231.
    Link

53. Cardona, D., E. Samuel Barraza.
    Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator,
    UPB Sci. Bull. A: Appl. Math. Phys., Vol. 80 (4), 163-172, (2018). arXiv:1803.00903.
    Link

54. Cardona, D.
    Nuclear pseudo-differential operators in Besov spaces on compact Lie groups,
    J. Fourier Anal. Appl., Vol. 23, (5), 1238-1262, (2017). arXiv:1610.09042.
    Link

55. Cardona, D.
    On the boundedness of periodic pseudo-differential operators,
    Monatsh. Math., Vol. 185(2), 189-206, (2018). arXiv:1701.08184.
    Link

56. Cardona, D.
    Besov continuity of pseudo-differential operators on compact Lie groups revisited,
    C. R. Math. Acad. Sci. Paris, Vol. 355, (5), 533–537, (2017).
    Link

57. Cardona, D., Ruzhansky, M.
    Multipliers for Besov spaces on graded Lie groups,
    C. R. Math. Acad. Sci. Paris, Vol. 355, (4), 400-405, (2017).
    Link

58. Cardona, D.
    Besov continuity for pseudo-differential operators on compact homogeneous manifolds,
    J. Pseudo-Differ. Oper. Appl., Vol. 9, (4), 861-880, (2018). arXiv:1607.00689.
    Link

59. Cardona, D.
    Hölder-Besov boundedness for periodic pseudo-differential operators,
    J. Pseudo-Differ. Oper. Appl., Vol. 8, (1), 13–34, (2016). arXiv:1609.03514.
    Link

60. Cardona, D.
    Besov continuity for Multipliers defined on compact Lie groups,
    Palest. J. Math., Vol. 5, (2), 35-44, (2016).
    Link

61. Cardona, D.
    On the singular values of the Fox-Li operator,
    J. Pseudo-Differ. Oper. Appl., Vol. 6, (4), 427-438, (2015).
    Link

62. Cardona, D.
    Invertibility for a class of Fourier multipliers,
    J. Pseudo-Differ. Oper. Appl., Vol. 6, (2), 215-225, (2015).
    Link

63. Cardona, D.
    Weak type (1,1) bounds for a class of periodic pseudo-differential operators,
    J. Pseudo-Differ. Oper. Appl., Vol. 5(4), 507-515, (2014).
    Link

64. Cardona, D.
    Hölder estimates for pseudo-differential operators on T1,
    J. Pseudo-Differ. Oper. Appl., Vol. 5 (4), 517-525, (2014).
    Link

65. Cardona, D.
    L∞-BMO bounds for pseudo-multipliers associated with the harmonic oscillator,
    Rev. Colombiana Mat., Vol. 54(2), 93-108, (2020).
    Link

66. Barraza, E. Samuel., Rivas, E., Cardona, D.
    A data structure to represent data sets with more than one order relation like polygons,
    Contemporary Engineering Sciences, Vol. 10, (15), 739-750, (2017).
    Link

67. Cardona, D.
    A note on the Stein restriction conjecture and the restriction problem on the torus, E. J. Math. Anal. Appl., Vol. 8(2), 165-171, (2020).
    Link

68. Cardona, D., Kumar, V.
    Multilinear analysis for discrete and periodic pseudo-differential operators in Lp spaces,
    Rev. Integr. temas Mat., Vol. 36(2), 151-164, (2018).
    Link

69. Cardona, D.
    On the nuclear trace of Fourier Integral Operators,
    Rev. Integr. temas Mat., Vol. 37(2), 219-249, (2019). arXiv:1807.08389.
    Link

70. Cardona, D.
    A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes,
    Rev. Integr. Temas Mat., Vol. 36(1), 49-57, (2018). arXiv:1803.07924.
    Link

71. Cardona, D.
    Weak type (1,1) bounds for a class of operators with discrete kernel,
    Rev. Integr. Temas. Mat., Vol. 33 (1), 51-62, (2015).
    Link

72. Cardona, D., Del Corral, C.
    The Dixmier trace and the Wodzicki residue for pseudo-differential operators on compact manifolds,
    Rev. Integr. Temas. Mat., Vol. 38 (1), 67-79, (2020).
    Link

73. Cardona, D.
    A note on the Fourier transform in Hölder spaces,
    Rev. Elementos, Vol. 6(6), 61-66, (2016).
    Link

74. Cardona, D.
    Una nota sobre la transformada de Fourier en espacios de Hölder,
    Miscelánea Mat., No. 61, 11–20, (2015/16).
    Link

75. Cardona, D.
    Estimativos L2 para una clase de operadores pseudodiferenciales definidos en el toro,
    Rev. Integr. Temas Mat., Vol. 31, (2), 142-157, (2013).
    Link

76. Cardona, D.
    Invertibilidad de operadores pseudo-diferenciales definidos en Zn,
    Lect. Mat., Vol. 34 (2), 179-186, (2013).
    Link

77. Cardona, D.
    Operadores pseudodiferenciales definidos en medidas de Borel,
    Rev. Integr. Temas Mat., Vol. 31 (1), 25-42, (2013).
    Link

Books

An overview of each  of my published books is available at the following link 📚.

78. 📚 Book: Cardona, D., Navarro-Gonzalez, K., Correa, S., Tejada, D., Sifontes, Y., (Editors).
    Analysis and PDE in Latin America 2025.
    Research Perspectives: Ghent Analysis and PDE Center,
    Trends in Mathematics, Birkhäuser 2026, to appear.
    Link

79. 📚 Book: Cardona, D., Navarro-Gonzalez, K., Correa, S., Tejada, D., Sifontes, Y., Grajales, B.(Editors).
    Mathematics in the Caribbean.
    Research Perspectives: Ghent Analysis and PDE Center,
    Trends in Mathematics, Birkhäuser 2026, to appear.
    Link

80. 📚 Book: Cardona, D., Kähler, U. (Editors).
    Analysis and PDE in Developing Countries, Proceedings of the ISAAC-ICMAM Conference 2024. Research Perspectives: Ghent Analysis and PDE Center,
    Trends in Mathematics, Birkhäuser 2026, to appear.
    Link

81. 📚Book: Cardona, D., Grajales, B. (Editors).
    Analysis and PDE in Latin America, ICMAM 2023-2024,
    Research Perspectives: Ghent Analysis and PDE Center,
    Trends in Mathematics, Birkhäuser, to appear.
    Link

82. 📚Book: Cardona, D., Grajales, B. (Editors).
    Analysis and PDE in Latin America, ICMAM 2022 Latin America,
    Research Perspectives: Ghent Analysis and PDE Center,
    Trends in Mathematics, Birkhäuser, 2024.
    Link

83. 📚Book: Cardona, D., Restrepo, J., Ruzhansky, M. (Editors).
    Extended Abstracts 2021/2022, Methusalem Lectures,
    Research Perspectives: Ghent Analysis and PDE Center,
    Trends in Mathematics,. Birkhäuser, 2023.
    Link

84. 📚Memoir: Cardona, D., Ruzhansky, M.
    Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups.
    Project Euclid Link | Math. Soc. Japan link |
    MSJ Memoirs, Math. Soc. Japan, 44: 175pp. (2025). arXiv:2008.09651.
    Link
    
    

Chapters in Books

85. D. Cardona,
    Donnelly-Fefferman inequalities for eigenfunctions of elliptic operators on compact Riemannian manifolds, to appear in Differential Geometry in Latin America. Trends in Mathematics, ICMAM 2025. In: Grajales, B., Saavedra J. (eds).

86. Cardona, D., Martinez, M. A.
    Boundedness of toroidal pseudo-differential operators on Hardy spaces, to appear in:
    Trends in Mathematics.

87. Cardona, D., Hurtado Quiceno, Andrea, V.
    Sobolev inequality and mapping properties of pseudo-differential operators on compact Lie groups, to appear in:
    Trends in Mathematics.
    Link

88. Cardona, D.,
    Mapping properties of weighted Maximal Functions, to appear in:
    Trends in Mathematics.
    Link

89. Cardona, D.,
    Boundedness of Fourier integral operators revisited, to appear in:
    Trends in Mathematics.
    Link

90. Cardona, D., Martínez, M.A. (2026).
    Boundedness of Pseudo-Differential Operators on the Torus via Kernel Estimates. In: Cardona Sanchez, D., Grajales, B. (eds).
    Analysis and PDE in Latin America. ICMAM 2024.  Trends in Mathematics. vol 15. Birkhäuser, Cham.
    Link

91. Cardona, D., Castro, T., Correa, S., De la Cruz, R. (2026).
    Mathematics and Memory: A Seminar of Analysis and Differential Equations for Latin America.
    Analysis and PDE in Latin America. ICMAM 2024.  Trends in Mathematics. vol 15. Birkhäuser, Cham.
    Link

92. Cardona, D.,
    Mapping Properties of Maximal Functions on Graded Lie Groups. In: Avetisyan, Z., Ruzhansky, M., Vagharshakyan, A. (eds)
    Analysis, PDEs, and Applications. GMG 2024. Trends in Mathematics., vol 13. Birkhäuser, Cham.
    Link

93. Cardona, D., Duduchava, R., Hendrickx, A., Ruzhansky, M.
    Generic Bessel Potential Spaces on Lie Groups,
    Tbilisi Analysis and PDE Seminar. TAPDES 2023. Trends in Mathematics, Vol 7. Birkhäuser, Cham.
    Link

94. Cardona, D., Kowacs, A.
    Global hypoellipticity on homogeneous vector bundles: necessary and sufficient conditions,
    Modern Problems in PDEs and Applications. MWCAPDE 2023. Trends in Mathematics, Vol 4. Birkhäuser, Cham.
    Link

95. Cardona, D.
    Schatten-von Neumann classes Sp on the torus for 0 < p ≤ 2. In: Ruzhansky, M., Van Bockstal, K. (eds).
    Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics, vol 2. Birkhäuser, Cham.
    Link

96. Cardona, D.
    The Wodzicki residue for pseudo-differential operators on compact Lie groups, In: Ruzhansky, M., Wirth, J. (eds).
    Harmonic Analysis and Partial Differential Equations. 2022. Trends in Mathematics, Birkhäuser, Cham.. arXiv:2201.12336.
    Link

97. Cardona, D.
    The Index of Toeplitz Operators on Compact Lie Groups and on Simply Connected Closed 3-Manifolds. In: Kähler, U., Reissig, M., Sabadini, I., Vindas, J. (eds)
    Analysis, Applications, and Computations. ISAAC 2021. Trends in Mathematics. Birkhäuser, Cham.
    Link

98. Barraza, E. Samuel., Cardona, D.
    On nuclear Lp multipliers associated to the harmonic oscillator, in:
    Analysis in Developing Countries, Springer Proceedings in Mathematics & Statistics, Springer, Imperial College London, UK, 2016. , M. Ruzhansky and J. Delgado (Eds), (2019). arXiv:1703.07453.
    Link

99. Cardona, D., Del Corral, C.
    The Dixmier trace and the non-commutative residue for multipliers on compact manifolds. In: Georgiev V., Ozawa T., Ruzhansky M., Wirth J. (eds)
    Advances in Harmonic Analysis and Partial Differential Equations. Trends in Mathematics. Birkhäuser, Cham. arXiv:1703.07453.
    Link
    
    

Preprints

100. Cardona, D., Yeghoyan, R., Ruzhansky, M.
     Kernel estimates and weak (1,1)-boundedness of pseudo-differential operators on compact Lie groups, submitted, arXiv:2602.14638.
     Link

101. Cardona, D., Obeng-Denteh, W., Opoku, F.
     Hyperbolic partial differential equations with complex characteristics on Fourier Lebesgue spaces, submitted, arXiv:2601.23138.
     Link 

102. Cardona, D., Obeng-Denteh, W., Opoku, F.
     Boundedness of Fourier integral operators with complex phases on Fourier Lebesgue spaces, submitted. arXiv:2512.24854.
     Link 

103. Cardona, D., Martinez, M. A.
     Boundedness of pseudo-differential operators on the torus revisited, III. submitted. arXiv:2508.13338
     Link

104. Cardona, D.
     Riesz-Means Bounds for Functional-Difference operators on mirror curves, submitted. arXiv:2508.07433.
     Link

105. Cardona, D., Martinez, M. A.
     Boundedness of pseudo-differential operators on the torus revisited, II. submitted. arXiv:2505.01573
     Link

106. Cardona, D., Kumar, V., Ruzhansky, M.
     Pseudo-differential operators on homogeneous vector-bundles over compact homogeneous manifolds, submitted. arXiv:2403.08990.
     Link

107. Cardona, D.
     Estimates for the full maximal function on graded Lie groups, submitted. arXiv:2401.07086.
     Link

108. Cardona, D.
     Characterisation of certain Schatten-von Neumann classes on the torus, submitted.
     Link

109. Cardona, D., Grajales, B., Ruzhansky, M.
     On the sharpness of Strichartz estimates and spectrum of compact Lie groups, submitted. arXiv:2302.04139.
     Link

110. Cardona, D.
     Spectral inequalities for elliptic pseudo-differential operators on closed manifolds, submitted. arXiv:2209.10690.
     Link

111. Cardona, D., Ruzhansky, M.
     Boundedness of oscillating singular integrals on Lie groups of polynomial growth, submitted. arXiv:2201.12883.
     Link

112. Cardona, D., Delgado, J., Ruzhansky, M.
     Analytic functional calculus and Gårding inequality on graded Lie groups with applications to diffusion equations, submitted. arXiv:2111.07469.
     Link

113. Cardona, D., Delgado, J., Ruzhansky, M.
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