Ewa Damek, born 9.08.1958, full professor

Wspomnienia z Tunezji

 

Zdjecia kici: 1, 2

Poradnik Anonimowego Przyszlego Dyrektora

"Transfer of Knowledge" - jak pisalismy projekt

Opinia o prof. dr hab. Andrzeju Hulanickim w zwiazku z wnioskiem o przyznanie nagrody MENiS za caloksztalt osiagniec naukowych

Matematyka z perspektywy Wroclawia. Spotkanie laureatow konkursu ``Subsydia Profesorskie 1999- Nauki Scisle''

Spotkanie z uczniami III LO 25-26.09.2006

Jak nie wyleciec z I roku studiow

List do przyjetych na studia w roku 2007/8

Dydaktyka

Wyklad z analizy matematycznej 1B - 2009/2010 . Informacje dla studentow i listy zadan.

Wyklad z funkcji rzeczywistych - 2007: (plik pdf)

Wyklad z analizy funkcjonalnej - 2005 . Informacje dla studentow i listy zadan.

Wyklad z analizy funkcjonalnej. Informacje dla studentow i listy zadan.

Research

I. Harmonic functions on solvable NA groups

  1. Theory of Poisson-Furstenberg boundaries for Hörmander type left-invariant differential operators on NA groups.
  2. Analysis on harmonic manifolds.
  3. Sharp pointwise estimates for Green functions and Poisson kernels for left-invariant differential operators on homogeneous manifolds of negative curvature. Estimates for derivatives of Poisson kernels.
  4. Study of non-coercive Hörmander type left-invariant differential operators on homogeneous manifolds of negative curvature. Martin boundary at the bottom of the spectrum.

II. Analysis on homogeneous Siegel domains and Riemannian symmetric spaces of tube type.

  1. Alternative Poisson kernels reproducing holomorphic functions on homogeneous Siegel domains. Hua - harmonic functions on homogeneous Siegel domains.
  2. Functions harmonic with respect to invariant systems of operators on symmetric Siegel domains with (or without) extra growth conditions and boundary smoothness.
  3. Characterization of pluriharmonic functions on symmetric Siegel domains as zeros of small systems of invariant operators.
  4. Complete characterization of Hua-harmonic functions on Siegel type two domains.
  5. Hua system on Riemannian symmetric spaces of tube type.

III. Stochastic recursions.

  1. Heavy tail estimates for stationary solutions of multidimensional affine stochastic recursions.
  2. Heavy tail estimates for infinite invariant measures of multidimensional affine stochastic rtecursions in the critical case.

Research supported by TMR Network "Harmonic Analysis" nr ERB FMRX-CT97-0159 (European Commission), Subsidy of Fundation for Polish Sciences 3/99 and various KBN (Polish Comittee for Research) grants.

 

Main visiting positions and collaboration

 

Publications

  1. E. Damek, Harmonic functions on semidirect extensions of type H nilpotent groups, TAMS 290 (1) (1985), 375-384.
  2. E. Damek, A Poisson kerel on Heisenberg type nilpotent groups, Coll. Math. 53 (2) (1987), 239-247.
  3. E. Damek, Curvature of a semi-direct extension on a Heisenberg type nilpotent group, ibidem, 53 (2) (1987), 249-253.
  4. E. Damek, The geometry of a semi-direct extension of a Heisenberg type nilpotent group, ibidem, 53 (2) (1987), 255-268.
  5. E. Damek, An area theorem for one dimensional semidirect extensions of homogeneous groups, Proc. Amer. Math. Soc. 104 (1988), 1279-1283.
  6. E. Damek, Left-invariant degenerate elliptic operators on semidirect extensions of homogeneous groups, Studia Math. 89 (1988), 169-196.
  7. E. Damek, Convergence of Poisson integrals on semidirect extensions of homogenous groups, Coll. Math. 58 (1) (1989), 43-60.
  8. E. Damek, A. Hulanicki, Boundaries for leftinvariant subelliptic operators on semidirect products of nilpotent and abelian groups, J. Reine Angew. Math. 411 (1990), 1-38.
  9. E. Damek and A. Hulanicki, Maximal functions related to subelliptic operators invariant under an action of a solvable Lie group, Studia Math. 101 (1991), 33-68.
  10. E. Damek, F. Ricci, Harmonic analysis on solvable extensions of H-type groups, The Journal of Geometric Analysis 2(3) 1992, 213-248.
  11. E. Damek, F. Ricci, A class of nonsymmetric harmonic Riemannian spaces, Bull. Amer. Math.Soc. 27(1) 1992, 139-142.
  12. E. Damek, Maximal functions related to subelliptic operators invariant under an action of a nilpotent Lie group, Studia Math. 103(3) 1992, 239-264.
  13. E. Damek, A. Hulanicki, R. Penney, Admissible convergence for Poisson-Szego integrals, Journal of Geom. Analysis 5(1) 1995, 49-76.
  14. E. Damek, Maximal functions related to subelliptic operators with polynomially growing coefficients, Math. Zeitschrift 218 (1995), 349-374.
  15. E. Damek and A. Hulanicki, Boundaries and the Fatou theorem for subelliptic second order operators on solvable Lie groups, Coll. Math. 18 (1995), 121-140.
  16. E. Damek, Pointwise estimates for the Poisson kernel on NA groups by the Ancona method, Annales de la Faculte des Sciences de Toulouse, V (3), 1996, 421-441.
  17. J.P. Anker, E. Damek, Ch. Yacoub, Spherical analysis on harmonic NA groups, Annali Scuola Norm. Sup. di Pisa, 23 (4), 1996, 643-679.
  18. E. Damek, A. Hulanicki, R. Penney, Hua operators on bounded homogeneous domains in and alternative reproducing kernels for holomorphic functions, Jour. Func. Analysis, 151 (1), 1997, 77-120.
  19. E. Damek, A. Hulanicki, J. Zienkiewicz, Pointwise estimates for the Poisson kernel and its derivatives on NA groups, Studia Math. 126 (2), 1997, 115-148.
  20. E. Damek, Fundamental solutions of differential operators on homogeneous manifolds of negative curvature and related Riesz transforms, Colloqium Math. 73 (2), 1997, 229-249.
  21. E. Damek, A. Hulanicki, D. Muller, M. Peloso, Pluriharmonic H functions on symmetric irreducible Siegel domains, Geometric And Functional Analysis 10 (2000), 1090-1117.
  22. E. Damek, A. Hulanicki, Pluriharmonic functions on symmetric irreducible Siegel domains, Studia Mathematica 139 (2), 2000, 101-140.
  23. E. Damek, A. Hulanicki, R. Urban, Martin boundary for homogeneous manifolds of negative curvature at the bottom of the spectrum, Rev. Mat. Iberoamericana. 17 No.2 (2001), 257-293.
  24. A. Bonami, D. Buraczewski, E. Damek, A. Hulanicki, R. Penney, B. Trojan, Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II, Journal of Functional Analysis, 188 (2002), no. 1, 38 - 74.
  25. D. Buraczewski, E. Damek, Hua-harmonic functions on symmetric type two Siegel domains, Rend. Mat. Acc. Lincei, vol. 13, (2002).
  26. D. Buraczewski, E. Damek, A. Hulanicki, Bounded plurihramonic functions on symmetric irreducible Siegel domains, Math. Z, 240(2002), no. 1, 169 - 195.
  27. E. Damek, J. Dziubañski, A. Hulanicki, J. Torrea, Pluriharmonic functions on symmetric tube domains with BMO boundary condition, Colloq. Math. 94 (2002).
  28. Ch. Benson, D. Buraczewski, E. Damek, G. Ratcliff, Differential systems of type (1,1) on Hermitian symmetric spaces and their zeros, Journal of Functional Analysis, 215(2), 427-475, (2004).
  29. A. Bonami, D. Buraczewski, E. Damek, A. Hulanicki, Ph. Jaming, Maximum boundary regularity of bounded Hua-harmonic functions on tube domains, Journal of Geometric Analysis, 14(3), 457-486, (2004)
  30. E. Damek, A. Hulanicki, Asymptotic behavior of the invariant measure for a diffusion related to a NA group, Colloq. Math. 104 (2006), nr 2,285-309.
  31. D.Buraczewski, E.Damek, A.Hulanicki, Asymptotic behavior of Poisson kernels on NA groups, Communications in PDE, 31 (2006), 1547-89.
  32. E.Damek, G.Garrigos, E.Harboure and J.L.Torrea, Weighted inequalities and a.e. convergence for Poisson integrals in light- cones, Math.Annalen, 336 (2006), 727-746.
  33. D. Buraczewski, E. Damek, Y. Guivarch, A. Hulanicki, R. Urban, On tail properties of stochastic recursions connected with generalized rigid motions, Probability Theory Related Fields, Volume 145, Numbers 3-4, 385--420, 2009.
  34. D. Buraczewski, E. Damek, Y. Guivarc'h, Convergence to stable laws for a class of multidimensional stochastic recursions, Probability Theory and Related Fields, online, DOI 10.1007/s00440-009-0233-7, 70 pages, 2009
  35. E. Damek, J. Dziubañski, Ph. Jaming, S. Perez-Esteva, Distributions that are convolvable with generalized Poisson kernel of solvable extensions of homogeneous Lie groups, Mathematica Scandinavica 105 (2009), no 1,31-65
  36. S. Brofferio, D. Buraczewski, E.Damek, The invariant measure of the random difference equation Xn = AnXn-1 + Bn in the critical case, http://arxiv.org/abs/0809.1864
  37. D. Buraczewski, E. Damek, Regular behavior at infinity of stationary measures of stochastic recursion on NA groups, accepted to Colloquium Mathematicum, 118, 499-523, 2010