Publications of Tomasz Przebinda
Submitted preprints
Refereed publications
Other publications

Submitted preprints
  1. The character correspondence in the stable range over a p-adic field, with H. Y. Loke
    →   [pdf] preprint,

Refereed publications
  1. Symmetry breaking operators for dual pairs with one member compact, with M. McKee and A. Paquale
    →   [pdf] J. Math. Sci. Univ. Tokyo 32 (2025), No. 3, 257-400
  2. Symmetry breaking operators for the reductive dual pair $(U_l,\U_{l'})$, with M. McKee and A. Paquale
    →   [pdf] Indag. Math., in press, doi.org/10.1016/j.indag.2024.06.004, Preprint version: arxiv:2312.05546
  3. The wave front set correspondence for dual pairs with one member compact, with M. McKee and A. Paquale
    →   [pdf] Acta Math. Sin. (Engl. Ser.) 40 (2024), no. 3, 823-869. doi.org/10.1007/s10114-024-1424-y. Preprint version: arxiv:2108.10545, hal-03324770,
  4. A Cauchy - Harish-Chandra integral for a dual pair over a p-adic field, the definition and a conjecture, with H. Y. Loke
    →   [pdf] J. Funct. Anal. 287 (2024), Paper No. 110540, 66 pp.
  5. The resonances of the Capelli operators for small split orthosymplectic dual pairs, with R. Bramati and A. Paquale
    →   [pdf] J. Lie Theory 33 (2023), No. 1, 93-132
  6. 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,
  7. The character and the wave front set correspondence in the stable range.
    →   [pdf] J. Funct. Anal. 274 (2018), 1284-1305
  8. 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
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. A reverse engineering approach to the Weil Representation, with A. M. Aubert,
    →   [pdf] Central European Journal of Mathematics 12 (2014), 1200-1285.
  15. The Cauchy Harish-Chandra integral and the invariant eigendistributions, with F. Bernon,
    →   [pdf] International Mathematics Research Notices 14 (2014), 3818-3862.
  16. 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.
  17. Boundedness of the Cauchy Harish-Chandra integral, with F. Bernon,
    →   [pdf] J. of Lie Theory 21 (2011), 499-613.
  18. Normalization of the Cauchy Harish-Chandra integral, with F. Bernon,
    →   [pdf] J. of Lie Theory 21 (2011), 615-702.
  19. Howe's Correspondence for a Generic Harmonic Analyst, with M. McKee,
    →   [pdf] Colloquium Mathematicum 118 (2010), 539-557.
  20. On the occurrence of admissible representations in the real Howe correspondence in stable range, with V. Protsak,
    →   [pdf] Manuscripta Mathematica 126 (2008), 135-141.
  21. 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.
  22. Local Geometry of Orbits for an Ordinary Classical Lie Supergroup,
    →   [pdf] Central European Journal of Mathematics 4 (2006), 449-506.
  23. 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.
  24. 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.
  25. An Entropy Based Uncertainty Principle for a Locally Compact Abelian Group, with M. \"Ozayd$\i{}$n,
    →   [pdf] J. Funct. Anal. 215 (2004), 241-252.
  26. 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.
  27. A Capelli Harish-Chandra Homomorphism,
    →   [pdf] Trans. Amer. Math. Soc. 356 (2003), 1121-1154.
  28. Dual Pairs and Kostant-Sekiguchi Correspondence, I, with A. Daszkiewicz and W. Kra\'skiewicz,
    →   [pdf] J. of Algebra 50 (2002), 408-426.
  29. 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.
  30. Strictly Positive Definite Functions on a Compact Group, with M. Allali
    →   [pdf] Proc. Amer. Math. Soc. 29 (2001), 1459-1462.
  31. Reply to ``Comments on `Resolution in Time-Frequency'", with V. DeBrunner and M. \"Ozayd$\i{}$n
    →   IEEE Transactions on Signal Processing 48 (2000), 3586.
  32. Analysis in a finite time-frequency plane, with V. DeBrunner and M. \"Ozayd$\i{}$n
    →   IEEE Transactions on Signal Processing 48 (2000), 1831.
  33. A Cauchy Harish-Chandra Integral, for a real reductive dual pair,
    →   [pdf] Invent. Math 141 (2000), 299-363.
  34. 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.
  35. Nilpotent Orbits and Complex Dual Pairs, with A. Daszkiewicz, W. Kra\'skiewicz
    →   [pdf] J. of Algebra 190 (1997), 518-539.
  36. Platonic Orthonormal Wavelets, with M. \"Ozayd\i{}n
    →   [pdf] Applied and Computational Harmonic Analysis 4 (1997), 351-365.
  37. On the Moment Map of a Multiplicity Free Action, with A. Daszkiewicz
    →   [pdf] Coll. Math. 71 (1996), 107-110.
  38. The oscillator correspondence of orbital integrals in the stable, with A. Daszkiewicz
    →   [pdf] Duke Mathematical Journal 82 (1996), 1-20.
  39. The oscillator character formula, for isometry groups of split forms in deep stable range, with A. Daszkiewicz
    →   [pdf] Invent. Math. 123 (1996), 349-376.
  40. The Duality Correspondence of Infinitesimal Characters,
    →   [pdf] Coll. Math. 70 (1996), 93-102.
  41. Characters Dual Pairs and Unitary Representations,
    →   [pdf] Duke Mathematical Journal 63 (1993), 547-592.
  42. Characters, Dual Pairs and Unipotent Representations,
    →   [pdf] J. Funct. Anal. 98 (1991), 59-96.
  43. The wave front set and the asymptotic support for p-adic groups,
    →   [pdf] Pac. J. Math. 41 (1990), 383-389.
  44. The Oscillator Duality Correspondence for the pair $O(2,2),Sp(2,\bold R)$,
    →   [pdf] Memoirs of the Amer. Math. Soc. 403 (1989).
  45. On Howe's Duality Theorem,
    →   [pdf] J. Funct. Anal. 81 (1988), 160-183.
  46. 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
  47. A reverse engineering approach to the Weil Representation, with A. M. Aubert (extended and corrected)
    →   [pdf]
  48. 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.
  49. Weyl Calculus and Dual Pairs, with M. McKee and A. Pasquale
    →   [pdf]
  50. 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.
  51. 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).
  52. 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).
  53. 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).