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. In the period 2022-2026, 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. I am the Chair of the ICMAM Analysis and PDE Research Group and Editor in Chief of the Springer Book Editorial Project at ICMAM Latin America. From 2026, I served as Scientific Director for ICMAM Africa. 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., Obeng-Denteh, W., Opoku, F.
   Hyperbolic partial differential equations with complex characteristics on Fourier Lebesgue spaces, to appear in:
   Rend. Circ. Mat. Palermo (2), arXiv:2601.23138.
   Link 

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

3. 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

4. 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

5. 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

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

7. 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

8. 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 

9. 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

10. 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

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

12. 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

13. 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

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

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

16. 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

17. 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

18. 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

19. 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

20. 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

21. 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

22. 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

23. 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

24. 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

25. 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

26. 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

27. 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

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

29. 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

30. 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

31. 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

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

33. 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

34. 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

35. 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

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

37. 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

38. 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

39. 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

40. 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

41. 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

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

43. 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

44. 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

45. 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

     

46. 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

47. 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

48. 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

49. 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

50. 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

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

52. 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

53. 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

54. 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

55. 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

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

57. 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

58. 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

59. 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

60. 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

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

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

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

64. 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

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

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

67. 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

68. 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

69. 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

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

71. 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

72. 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

73. 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

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

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

76. 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

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

78. 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 📚.

79. 📚 Book: Quintero, J. R., Delgado, J., Gallego, F. Astaiza, W., Cardona, D., (Editors) 
    Analysis and PDE in Latin America 2026
    Research Perspectives: Ghent Analysis and PDE Center,
    Trends in Mathematics, Birkhäuser, to appear.

80. 📚 Book: Bossinger, L. Cardona, D., Navarro-Gonzalez, K., Villaveces, V.  (Editors) 
    Mathematical Interplays in Analysis, Algebra, and Logic—A Latin American Perspective
    Research Perspectives:
    Trends in Mathematics, Birkhäuser, to appear.

81. 📚 Book: Cardona, D., Galvis, J., Gauthier-Umaña, V., Muñoz D., A., Roldán, D., Sosa, A., (Editors) 
    Applied and Industrial Mathematics in Colombia—Extended Abstracts
    Research Perspectives,
    Trends in Mathematics, Birkhäuser, to appear.

82. 📚 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

83. 📚 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

84. 📚 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

85. 📚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

86. 📚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

87. 📚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

88. 📚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

89. 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).

90. D. Cardona, Chorfi, S. E.,  Et-tahri, F.,  Maniar, L.,
    Controllability of Nonlocal Partial Differential Equations, to appear in:
    Trends in Mathematics.

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

92. 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

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

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

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

96. 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

97. 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

98. 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

99. 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

100. 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

101. 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

102. 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

103. 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

104. 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

105. Cardona, D., Mohan, L.,
     Sparse Bounds for Periodic Pseudo-differential Operators, submitted.
     Link

106. León Tordecilla, J., A., Cardona, D.
     Quasilinear equations with exponential growth for Hörmander q-sub-Laplacians on stratified Lie groups, submitted.

107. 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

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

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

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

111. Cardona, D., Martinez, M. A.
     Boundedness of pseudo-differential operators on the torus revisited, II. submitted. arXiv:2505.01573
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112. Cardona, D., Kumar, V., Ruzhansky, M.
     Pseudo-differential operators on homogeneous vector-bundles over compact homogeneous manifolds, submitted. arXiv:2403.08990.
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113. Cardona, D.
     Estimates for the full maximal function on graded Lie groups, submitted. arXiv:2401.07086.
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114. Cardona, D.
     Characterisation of certain Schatten-von Neumann classes on the torus, submitted.
     Link

115. Cardona, D., Grajales, B., Ruzhansky, M.
     On the sharpness of Strichartz estimates and spectrum of compact Lie groups, submitted. arXiv:2302.04139.
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116. Cardona, D.
     Spectral inequalities for elliptic pseudo-differential operators on closed manifolds, submitted. arXiv:2209.10690.
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117. Cardona, D., Ruzhansky, M.
     Boundedness of oscillating singular integrals on Lie groups of polynomial growth, submitted. arXiv:2201.12883.
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118. 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.
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119. Cardona, D., Delgado, J., Ruzhansky, M.
     Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation, submitted. arXiv:2105.14949.
     Link

120. Cardona, D., Ruzhansky, M.
     Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups, submitted. arXiv:2101.05856.
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