Home page of   ADAM  NOWAK

AFFILIATION  (since 2009)

    Institute of Mathematics

    Polish Academy of Sciences


FORMER AFFILIATION  (2000-2011)

    Institute of Mathematics and Computer Science

    Wrocław University of Technology


E-MAIL

    adam.nowak  at  impan.pl


SHORT CV  (more details in Polish )

  • Born: 1976
  • MSc Eng: 2000, Mathematics, Faculty of Fundamental Problems of Technology, Wrocław University of Technology
  • PhD: 2004, Mathematics, Institute of Mathematics, Wrocław University of Technology
  • Habilitation: 2008, Mathematics, Institute of Mathematics and Computer Science, Wrocław University of Technology


RESEARCH INTEREST

     Harmonic analysis, Orthogonal expansions, Special functions, Integral transforms, Singular operators


SELECTED PREPRINTS

  1. A.Nowak, P.Sjögren, T.Z.Szarek,
    Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions,
    arXiv:1607.00979
  2. A.Nowak, K.Stempak,
    Potential operators and Laplace type multipliers associated with the twisted Laplacian,
    to appear in Acta Math. Sci.
  3. A.Nowak, K.Stempak,
    Potential operators associated with Hankel and Hankel-Dunkl transforms,
    to appear in J. Anal. Math.  arXiv:1402.3399

PUBLICATIONS

  1. A.Nowak, K.Stempak, T.Z.Szarek,
    On harmonic analysis operators in Laguerre-Dunkl and Laguerre-symmetrized settings,
    SIGMA 12 (2016), 096, 39 pages.  online
  2. A.J.Castro, A.Nowak, T.Z.Szarek,
    Riesz-Jacobi transforms as principal value integrals,
    J. Fourier Anal. Appl. 22 (2016), 493-541.  MR3500230
  3. A.Nowak, K.Stempak,
    Sharp estimates for potential operators associated with Laguerre and Dunkl-Laguerre expansions,
    Potential Anal. 44 (2016), 109-136.  MR3455212
  4. A.Nowak, P.Sjögren, T.Z.Szarek,
    Analysis related to all admissible type parameters in the Jacobi setting,
    Constr. Approx. 41 (2015), 185-218.  MR3315675
  5. A.Nowak, L.Roncal,
    Potential operators associated with Jacobi and Fourier-Bessel expansions,
    J. Math. Anal. Appl. 422 (2015), 148-184.  MR3263453
  6. A.Nowak, K.Stempak,
    A note on recent papers by Grafakos and Teschl, and Estrada,
    J. Fourier Anal. Appl. 20 (2014), 1141-1144.  MR3254615
  7. A.Nowak, L.Roncal,
    Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter,
    Acta Math. Sin. (Engl. Ser.) 30 (2014), 437-444.  MR3160695
  8. A.Nowak, L.Roncal,
    On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting,
    Rocky Mountain J. Math. 44 (2014), 1321-1342.  MR3274351
  9. A.Nowak, K.Stempak,
    Sharp estimates of the potential kernel for the harmonic oscillator with applications,
    Nagoya Math. J. 212 (2013), 1-17.  MR3290678
  10. A.Nowak, P.Sjögren,
    Sharp estimates of the Jacobi heat kernel,
    Studia Math. 218 (2013), 219-244.  MR3125127
  11. A.Nowak, K.Stempak,
    A symmetrized conjugacy scheme for orthogonal expansions,
    Proc. Roy. Soc. Edinburgh Sect. A 143 (2013), 427-443.  MR3039818
  12. A.Nowak, P.Sjögren,
    Calderón-Zygmund operators related to Jacobi expansions,
    J. Fourier Anal. Appl. 18 (2012), 717-749.  MR2984366
  13. J.J.Betancor, A.J.Castro, A.Nowak,
    Calderón-Zygmund operators in the Bessel setting,
    Monatsh. Math. 167 (2012), 375-403.  MR2961289
  14. A.Nowak, K.Stempak,
    On Lp-contractivity of Laguerre semigroups,
    Illinois J. Math. 56 (2012), 433-452.  MR3161334
  15. A.Nowak, T.Z.Szarek,
    Calderón-Zygmund operators related to Laguerre function expansions of convolution type,
    J. Math. Anal. Appl. 388 (2012), 801-816.  MR2869789
  16. A.Nowak, K.Stempak,
    Negative powers of Laguerre operators,
    Canad. J. Math. 64 (2012), 183-216.  MR2932174
  17. J.J.Betancor, E.Harboure, A.Nowak, B.Viviani,
    Mapping properties of fundamental operators in harmonic analysis related to Bessel operators,
    Studia Math. 197 (2010), 101-140.  MR2600427
  18. A.Nowak, L.Roncal, K.Stempak,
    Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator,
    Colloq. Math. 118 (2010), 669-684.  MR2602173
    (Contribution to the Special Volume dedicated to the memory of Professor Andrzej Hulanicki)
  19. A.Nowak, K.Stempak,
    Imaginary powers of the Dunkl harmonic oscillator,
    SIGMA 5 (2009), 016, 12 pages.  MR2481476
    (Contribution to the Special Issue on Dunkl Operators and Related Topics)
  20. A.Nowak, P.Sjögren,
    The multi-dimensional pencil phenomenon for Laguerre heat-diffusion maximal operators,
    Math. Ann. 344 (2009), 213-248.  MR2481059
  21. A.Nowak, K.Stempak,
    Riesz transforms for the Dunkl harmonic oscillator,
    Math. Z. 262 (2009), 539-556.  MR2506306
  22. A.Nowak, P.Sjögren,
    Riesz transforms for Jacobi expansions,
    J. Anal. Math. 104 (2008), 341-369.  MR2403440
  23. A.Nowak, K.Stempak,
    Relating transplantation and multipliers for Dunkl and Hankel transforms,
    Math. Nachr. 281 (2008), 1604-1611.  MR2462602
  24. O. Ciaurri, A.Nowak, K.Stempak,
    Jacobi transplantation revisited,
    Math. Z. 257 (2007), 355-380.  MR2324806
  25. A.Nowak, K.Stempak,
    Riesz transforms for multi-dimensional Laguerre function expansions,
    Adv. Math. 215 (2007), 642-678.  MR2355604
  26. A.Nowak, K.Stempak,
    Riesz transforms and conjugacy for Laguerre function expansions of Hermite type,
    J. Funct. Anal. 244 (2007), 399-443.  MR2297030
  27. A.Nowak, P.Sjögren,
    Weak type (1,1) estimates for maximal operators associated with various multi-dimensional systems of Laguerre functions,
    Indiana Univ. Math. J. 56 (2007), 417-436.  MR2305941
  28. A.Nowak, K.Stempak,
    L2-theory of Riesz transforms for orthogonal expansions,
    J. Fourier Anal. Appl. 12 (2006), 675-711.  MR2275391
  29. A.Nowak, K.Stempak,
    Weighted estimates for the Hankel transform transplantation operator,
    Tohoku Math. J. 58 (2006), 277-301.  MR2248434
  30. P.Graczyk, J.J.Loeb, I.Lopez, A.Nowak, W.Urbina,
    Higher order Riesz transforms, fractional derivatives and Sobolev spaces for Laguerre expansions,
    J. Math. Pures Appl. 84 (2005), 375-405.  MR2121578
  31. A.Nowak,
    On Riesz transforms for Laguerre expansions,
    J. Funct. Anal. 215 (2004), 217-240.  MR2085116
  32. P.Graczyk, A.Nowak,
    A composition formula for squares of Hermite polynomials and its generalizations,
    C. R. Acad. Sci. Paris Ser. I 338 (2004), 849-852.  MR2059660
  33. A.Nowak,
    Heat-diffusion and Poisson integrals for Laguerre and special Hermite expansions on weighted Lp spaces,
    Studia Math. 158 (2003), 239-268.  MR2014301
  34. K.Bogdan, T.Kulczycki, A.Nowak,
    Gradient estimates for harmonic and q-harmonic functions of symmetric stable processes,
    Illinois J. Math. 46 (2002), 541-556.  MR1936936

THESES

  • Doctoral dissertation (2004), supervisor: Prof. K.Stempak
    Poisson integrals, Riesz transforms, and conjugacy for Laguerre expansions, pp. 1-66.  MR2715713
  • Master's thesis (2000), supervisor: Dr. T.Kulczycki
    Gradient estimates of harmonic functions corresponding to symmetric stable processes, pp. 1-40.
Last update: September 2016