I am an FWO Research Fellow at Ghent University in Belgium, funded by the Research Foundation Flanders (FWO), and 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): 

1. 1. 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

   2. 📚 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

   3. 📚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 

   4. 📚 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

   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. 📚 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

   28. 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

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

   30. PhD Thesis: 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.
       Link

   31. 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

   32. 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

   33. 📚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

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

   35. 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

   36. 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

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

   38. 📚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

   39. 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

   40. 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

   41. 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

   42. 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

   43. 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

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

   45. 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

   46. 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

   47. 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
       
       

   48. 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

   49. 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

   50. 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

   51. 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

   52. 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

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

   54. 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

   55. 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

   56. 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

   57. 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

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

   59. 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

   60. 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

   61. 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

   62. 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

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

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

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

   66. 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

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

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

   69. 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

   70. 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

   71. 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

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

   73. 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

   74. 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

   75. 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

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

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

   78. 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

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

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

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

   82. 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

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

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

   85. 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

   86. 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

   87. 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

   88. 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

   89. 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

   90. 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

   91. 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

   92. 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

   93. 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

   94. 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
       
       

   95. D. Cardona, Donnelly-Fefferman inequalities for eigenfunctions of elliptic operators on compact Riemannian manifolds, submitted. 

   96. 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

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

   98. Cardona, D., Local smoothing estimates for bilinear Fourier integral operators, submitted.  arXiv:2601.15667.
       Link 

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

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

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

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

   103. 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, submitted. arXiv:2408.06833.
        Link

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

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

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

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

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

   109. Cardona, D., Duduchava, R., Hendricks, A., Ruzhansky, M. Global pseudo-differential operators on the Lie group G=(−1,1)n, submitted. arXiv:2209.09751.
        Link

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

   111. 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

   112. 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

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