Dr hab.
Anna Wysoczańska-Kula
adiunkt
Zakład Analizy Matematycznej

Publikacje/Publications:
  1. Uwe Franz, Anna Kula, J. Martin Lindsay, Michael Skeide; Hunt's Formula for SU_q(N) and U_q(N). Indiana Univ. Math. J.. 72 (2023), 1717-1748. On-line.
    Note that the final version of the paper differs substantially from the arxiv version!

  2. Biswarup Das, Uwe Franz, Anna Kula, Adam Skalski; Second cohomology groups of the Hopf -algebras associated to universal unitary quantum groups. Annales de l'Institut Fourier(Grenoble) 73 (2023) p. 479-509. On-line.

  3. Anna Kula, Janusz Wysoczański; Joint monotone and boolean numerical and spectral radii of d-tuples of operators. Adv. Oper. Theory 5, 1039-1060 (2020). On-line.

  4. Biswarup Das, Uwe Franz, Anna Kula, Adam Skalski; Lévy-Khintchine decompositions for generating functionals on algebras associated to universal compact quantum group. Infinite Dimensional Analysis, Quantum Probability and Related Topics 2018. On-line.

  5. Anna Kula, Michał Wojtylak, Janusz Wysoczański; Rank two perturbations of matrices and operators, and operator model for t-transformation of probability measures. Journal of Functional Analysis 272, Issue 3 (2017), pp. 1147-1181. On-line.

  6. Uwe Franz, Anna Kula, Adam Skalski; Lévy Processes on Quantum Permutation Groups. Noncommutative Analysis, Operator Theory and Applications, Fabio Cipriani, Fabrizio Colombo, Irene Sabadini (eds.), Linear Operators and Linear Systems vol. 252, Birkhäuser Basel, 2016, pp. 193-259. On-line.

  7. Biswarup Das, Uwe Franz, Anna Kula, Adam Skalski; One-to-one correspondence between generating functionals and cocycles on quantum groups in presence of symmetry. Mathematische Zeitschrift 281, Issue 3 (2015), pp. 949–965. On-line.

  8. Anna Kula; Woronowicz construction of compact quantum groups for functions on permutations. Classification result for N=3. Journal of Mathematical Analysis and Applications. 21 (2015), pp. 1673-1712. On-line.

  9. Fabio Cipriani, Uwe Franz, Anna Kula; Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory. Journal of Functional Analysis 266, Issue 5 (2014), 2789–2844. On-line.

  10. Anna Kula, Janusz Wysoczański; An example of a Boolean-free type central limit theorem. Probability and Mathematical Statistisc 33, Fasc. 2 (2013), 341-352. On-line.

  11. Anna Kula; Construction of a compact quantum group for transposition-coloring function. Probability and Mathematical Statistisc 33, Fasc. 2 (2013), 287-299. On-line.

  12. Anna Kula; Limit theorem for the q-convolution. Banach Center Publications 96 (2012), 245-255. On-line.

  13. Barbara Jasiulis-Gołdyn, Anna Kula; Urbanik generalized convolutions in the non-commutative probability and a forgotten method of constructing generalized convolution. Proceedings of the Indian Academy of Sciences – Math. Sci. 122 (2012), 437-458. On-line.

  14. Anna Kula; Convolutions related to q-deformed commutativity. Proceedings of the 11th Workshop: Non-Commutative Harmonic Analysis with Applications to Probability, Banach Center Publications 89 (2010), 189-200.On-line.

  15. Anna Kula; The q-deformed convolutions: examples and applications to moment problem. Oper. Matrices 4 (2010), 593–603.On-line.

  16. Anna Kula, Janusz Wysoczański; Noncommutative Brownian motions indexed by partially ordered sets. IDAQP 13 (2010), 629-661.On-line.

  17. Anna Kula; A q-analogue of Complete Monotonicity, Colloquium Mathematicum 111 (2008), 169-181. On-line.

  18. Anna Kula, Ricard Eric; On a convolution for q-normal operators. IDAQP 11 (2008), 565-588. On-line.

  19. Anna Kula; A Moment Sequence in the q-world. Noncommutative Harmonic Analysis with Applications to Probability, Banach Center Publications 78 (2007), 201-210. On-line.


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