Yulia Kuznetsova: Publications


Preprints :

  1. Shifted wave equation on noncompact symmetric spaces, with Zh. Song. ArXiv: 2504.21479.
  2. Pointwise and uniform bounds for functions of the Laplacian on non-compact symmetric spaces, with Zh. Song. ArXiv: 2409.02688.
  3. Quantum semigroups : a survey, 28 p., arXiv :1807.06282.

Published / accepted :

  1. An overview of dualities in non-commutative harmonic analysis, to appear in: Chatzakou, M., Ruzhansky, M., Van Bockstal, K. (eds) Direct and Inverse Problems with Applications- Extended Abstracts of the 2024 GAP Center Summer School. Trends in Mathematics, Birkhäuser, Cham., 2025. ArXiv: 2502.03331.
  2. Invariant means on subspaces of quantum weakly almost periodic functionals, J. Analyse Math. (2024), 17 p. ArXiv: 2206.12591.
  3. Norms of certain functions of the Laplace operator on the `ax+b’ groups, with Rauan Akylzhanov, Michael Ruzhansky, and Haonan Zhang, Mathematische Zeitschrift 302, pages 2327-2352 (2022), arXiv :2101.00584.
  4. Γ-supercyclicity of families of translates in weighted Lp-spaces on locally compact groups, with A. Abbar, J. Math. Anal. Appl. 495, Issue 1 (2021), ArXiv : 2005.11230.
  5. On isomorphisms between weighted Lp-algebras, with Safoura Zadeh, Canad. Math. Bull. 64 no.4, pp.853-866. ArXiv : 1803.06083.
  6. Duals of quantum semigroups with involution, Adv. Oper. Theory 5(1), 167-203 (2020), ArXiv : 1611.04830.
  7. Quantum semigroups generated by locally compact semigroups, with Marat A. Aukhadiev, Illinois J. Math. 62, no.1-4 (2018), pp. 41-60. ArXiv : 1504.00407.
  8. Density of translates in weighted Lp spaces on locally compact groups, with E. Abakumov, Monatsfhefte Math. 183(3), 397-413 (2017). ArXiv : 1703.06775.
  9. Homomorphisms with small bound between Fourier algebras, with J. Roydor, Israel J. Math. 217 (2017), Iss. 1, pp. 283-301. ArXiv : 1706.00701.
  10. A duality of locally compact groups which does not involve the Haar measure. Math. Scand. 116 (2015), 250-286. ArXiv :1201.5023.
  11. A duality for Moore groups. J. Oper. Theory 69 Iss.2 (2013), 571-600, ArXiv :0907.1409.
  12. On continuity of measurable group representations and homomorphisms. Stud. Math. 210 no.3 (2012), 197-208, ArXiv : 1010.0999.
  13. Harmonic analysis of weighted Lp-algebras, with C. Molitor-Braun. Expo. Math. 30 (2012), 124-153, ArXiv : 1103.3610.
  14. An example of a weighted algebra Lpw(G) on uncountable group. J. Math. Anal. Appl. 353, Iss. 2 (2009), 660-665. ArXiv : 0805.0283.
  15. Constructions of regular algebras Lpw(G). Mat. Sbornik 200, no. 2 (2009), 75-88. ArXiv :0802.4333.
  16. Invariant weighted algebras Lpw(G). Math. Notes 84 no. 3-4, 529-537 (2008). Translated from Mat. Zametki 84, no. 4, 567-576 (2008). ArXiv :0707.0009.
  17. Weighted Lp-algebras on groups. Funct. Anal. Appl. 40, no. 3, 234—236 (2006) ; translated from Funkts. Anal. Prilozh. 40, No. 3, 82-85 (2006).
  18. Multiplicative spectra of Banach spaces, with S. A. Shkarin, J. Math. Sci. NY 131, no. 6 (2005), 6112-6119.
  19. Second order nonlinear susceptibility coefficients of porous semiconducting compounds, with J. Monecke, W. Cordts, and G. Richardson, Phys. status solidi (b) , vol. 241, iss. 3, pp. R8-R10 (2004).
  20. Second harmonic generation in porous III-V compounds, with J. Monecke and W. Cordts, Moldav. J. Phys. Sci. 1 no. 4 (2002), 89-91.
  21. Multiplication on Frechet spaces. Mosc. Univ. Math. Bull. 56, no. 1, 38-40 (2001) ; translated from Vestn. Mosk. Univ., Ser. I, 56, no. 1, 49-51 (2001).

Lists of my papers at : Mathscinet, Zentralblatt, Arxiv.


Habilitation thesis :