Publications of Tomasz Przebinda
Submitted preprints
Refereed publications
Other publications

Submitted preprints
  1. A Cauchy - Harish-Chandra integral for a dual pair over a p-adic field, the definition and a conjecture, with H. Y. Loke
    →   [pdf] preprint,
  2. The character correspondence in the stable range over a p-adic field, with H. Y. Loke
    →   [pdf] preprint,
  3. The resonances of the Capelli operators for small split orthosymplectic dual pairs, with R. Bramati and A. Paquale
    →   [pdf] preprint,
  4. Symmetry breaking operators for dual pairs with one member compact, with M. McKee and A. Paquale
    →   [pdf] preprint,
  5. Symmetry breaking operators for the reductive dual pair $(U_l,\U_{l'})$, with M. McKee and A. Paquale
    →   [pdf] preprint,
  6. The wave front set correspondence for dual pairs with one member compact, with M. McKee and A. Paquale
    →   [pdf] preprint,
    Refereed publications
    1. Derivatives of elliptic orbital integrals on a symplectic space, with M. McKee and A. Pasquale
      →   [pdf] J. Lie Theory, Vol 30, no. 2, (2020) pages 489--512,
    2. The character and the wave front set correspondence in the stable range.
      →   [pdf] J. Funct. Anal. 274 (2018), 1284-1305
    3. Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3), with J. Hilgert and A. Pasquale, 43 pages, 2014.
      →   [pdf] Represent. Theory 21 (2017), 416-457
    4. Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces, with J. Hilgert and A. Pasquale,
      →   [pdf] J. Funct. Anal. 272 (2017), no. 4, 1477-1523.
    5. Resonances for the Laplacian: the cases BC2 and C2 (except SO0(p,2) with p>2 odd), with J. Hilgert and A. Pasquale,
      →   [pdf], pages 159-182, in Geometric Methods in Physics (XXXIV Workshop, Bialowie\dot{z}a, Poland, 2015), P. Kielanowski, S. Twareque Ali, P. Bieliavsky, A. Odzijewicz, M. Schlichenmaier, T. Voronov (eds.), Trends in Mathematics, Springer, 2016.
    6. Semisimple orbital integrals on the symplectic space for a real reductive dual pair, with M. Mckee and A. Pasquale,
      →   [pdf] J. Funct. Anal. 268 (2015), 278-335.
    7. Howe correspondence and Springer correspondence for dual pairs over a finite field, with A.M. Aubert and W. Kra\'skiewicz,
      →   [pdf] In: Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics, Proceedings of Symposia in Pure Mathematics, Amer. Math. Soc., Providence, RI, 2016. 92 (2016), 30-57.
    8. On the rate of convergence in the Kesten renewal theorem, with D. Buraczewski and E. Damek,
      →   [pdf] Electronic Journal of Probability 20 (2015), 1-35.
    9. A reverse engineering approach to the Weil Representation, with A. M. Aubert,
      →   [pdf] Central European Journal of Mathematics 12 (2014), 1200-1285.
    10. The Cauchy Harish-Chandra integral and the invariant eigendistributions, with F. Bernon,
      →   [pdf] International Mathematics Research Notices 14 (2014), 3818-3862.
    11. Howe correspondence and Springer correspondence for real reductive dual pairs, with A.M. Aubert and W. Kra\'skiewicz,
      →   [pdf] Manuscripta Mathematica 143 (2014), 81-130.
    12. Boundedness of the Cauchy Harish-Chandra integral, with F. Bernon,
      →   [pdf] J. of Lie Theory 21 (2011), 499-613.
    13. Normalization of the Cauchy Harish-Chandra integral, with F. Bernon,
      →   [pdf] J. of Lie Theory 21 (2011), 615-702.
    14. Howe's Correspondence for a Generic Harmonic Analyst, with M. McKee,
      →   [pdf] Colloquium Mathematicum 118 (2010), 539-557.
    15. On the occurrence of admissible representations in the real Howe correspondence in stable range, with V. Protsak,
      →   [pdf] Manuscripta Mathematica 126 (2008), 135-141.
    16. A Cauchy Harish-Chandra Integral for the pair $\frak u_{p,q}, \frak u_1$, with A. Daszkiewicz,
      →   [pdf] Central European Journal of Mathematics 5 (2007), 654-664.
    17. Local Geometry of Orbits for an Ordinary Classical Lie Supergroup,
      →   [pdf] Central European Journal of Mathematics 4 (2006), 449-506.
    18. Entropy Based Uncertainty Measures for $L^2(\Bbb R^n)$, $l^2(\Bbb Z)$, $l^2(\Bbb Z/N\Bbb Z)$ with A Hirshman Optimal Transform for $l^2(\Bbb Z/N\Bbb Z)$, with V. DeBrunner, Havlicek J. and M. \"Ozayd$\i{}$n
      →   [pdf] IEEE Transactions on Signal Processing 53 (2005), 2690-2699.
    19. Dual Pairs and Kostant-Sekiguchi Correspondence II Classification of Nilpotent Elements, with A. Daszkiewicz and W. Kra\'skiewicz,
      →   [pdf] Central European Journal of Mathematics 3 (2005), 430-464.
    20. An Entropy Based Uncertainty Principle for a Locally Compact Abelian Group, with M. \"Ozayd$\i{}$n,
      →   [pdf] J. Funct. Anal. 215 (2004), 241-252.
    21. The Donoho-Stark Uncertainty Principle for a Finite Abelian Group, with E. Matusiak and M. \"Ozayd$\i{}$n,
      →   [pdf] Acta Mathematica, Universitatis Comenianae 73 (2004), 155-160.
    22. A Capelli Harish-Chandra Homomorphism,
      →   [pdf] Trans. Amer. Math. Soc. 356 (2003), 1121-1154.
    23. Dual Pairs and Kostant-Sekiguchi Correspondence, I, with A. Daszkiewicz and W. Kra\'skiewicz,
      →   [pdf] J. of Algebra 50 (2002), 408-426.
    24. The optimal transform for the discrete Hirschman uncertainty principle, with V. DeBrunner and M. \"Ozayd$\i{}$n
      →   [pdf] IEEE Transactions on Information Theory 47 (2001), 2086-2090.
    25. Strictly Positive Definite Functions on a Compact Group, with M. Allali
      →   [pdf] Proc. Amer. Math. Soc. 29 (2001), 1459-1462.
    26. Reply to ``Comments on `Resolution in Time-Frequency'", with V. DeBrunner and M. \"Ozayd$\i{}$n
      →   IEEE Transactions on Signal Processing 48 (2000), 3586.
    27. Analysis in a finite time-frequency plane, with V. DeBrunner and M. \"Ozayd$\i{}$n
      →   IEEE Transactions on Signal Processing 48 (2000), 1831.
    28. A Cauchy Harish-Chandra Integral, for a real reductive dual pair,
      →   [pdf] Invent. Math 141 (2000), 299-363.
    29. Resolution in Time-Frequency, with V. DeBrunner and M. \"Ozayd\i{}n, with V. DeBrunner and M. \"Ozayd$\i{}$n
      →   IEEE Transactions on Signal Processing 47 (1999), 783-788.
    30. Nilpotent Orbits and Complex Dual Pairs, with A. Daszkiewicz, W. Kra\'skiewicz
      →   [pdf] J. of Algebra 190 (1997), 518-539.
    31. Platonic Orthonormal Wavelets, with M. \"Ozayd\i{}n
      →   [pdf] Applied and Computational Harmonic Analysis 4 (1997), 351-365.
    32. On the Moment Map of a Multiplicity Free Action, with A. Daszkiewicz
      →   [pdf] Coll. Math. 71 (1996), 107-110.
    33. The oscillator correspondence of orbital integrals in the stable, with A. Daszkiewicz
      →   [pdf] Duke Mathematical Journal 82 (1996), 1-20.
    34. The oscillator character formula, for isometry groups of split forms in deep stable range, with A. Daszkiewicz
      →   [pdf] Invent. Math. 123 (1996), 349-376.
    35. The Duality Correspondence of Infinitesimal Characters,
      →   [pdf] Coll. Math. 70 (1996), 93-102.
    36. Characters Dual Pairs and Unitary Representations,
      →   [pdf] Duke Mathematical Journal 63 (1993), 547-592.
    37. Characters, Dual Pairs and Unipotent Representations,
      →   [pdf] J. Funct. Anal. 98 (1991), 59-96.
    38. The wave front set and the asymptotic support for p-adic groups,
      →   [pdf] Pac. J. Math. 41 (1990), 383-389.
    39. The Oscillator Duality Correspondence for the pair $O(2,2),Sp(2,\bold R)$,
      →   [pdf] Memoirs of the Amer. Math. Soc. 403 (1989).
    40. On Howe's Duality Theorem,
      →   [pdf] J. Funct. Anal. 81 (1988), 160-183.
    41. Holomorphicity of a class of semigroups of measures operating on $L^p(G/H)$,
      →   [pdf] Proceedings of the Amer. Math. Soc. 87 (1983), 637-643.
      Other publications
    42. A reverse engineering approach to the Weil Representation, with A. M. Aubert (extended and corrected)
      →   [pdf]
    43. A Preliminary case for Hirshman transform video coding, with M. \"Ozayd\i{}n and J. Havlicek
      →   [pdf] SIEEE Southwest Symposium on Image Analysis and Interpretation (SSIAI), 29-31 March 2020.
    44. Weyl Calculus and Dual Pairs, with M. McKee and A. Pasquale
      →   [pdf]
    45. Three Uncertainty Principles,
      →   [pdf] Representation Theory of Real and p-adic Groups, edited by Eng-Chye Tan and Chen-Bo Zhu Singapore University Press, (2004), 1-18.
    46. Spectral Analysis of Uterine Junctional Zone Contractions: Continuous versus Finite, with P. Le\'sny, M. Allali, and SR Kilick
      →   The Second World Congress on Controversies in Obstetrics, Gynecology and Infertility, Paris, Sept. 5, (2001).
    47. Uncertainty and Entropy in Time-Frequency: Continuous versus Finite, with V. DeBrunner, Joe Havlicek and M. \"Ozayd\i{}n
      →   IEEE Conference on Acoustics, Speech and Signal Processing, Istanbul, Turkey (2000).
    48. Using a new uncertainty measure to determine optimal bases for signal representations, with V. DeBrunner and M. \"Ozayd\i{}n
      →   Speech and Signal Processing, paper 1575, Phoenix, AZ (1999).