Publications of Tomasz Przebinda |

Submitted preprints |

Refereed publications |

Other publications |

Submitted preprints |

*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,

*The character correspondence in the stable range over a p-adic field,*with H. Y. Loke

→ [pdf] preprint,

*The resonances of the Capelli operators for small split orthosymplectic dual pairs,*with R. Bramati and A. Paquale

→ [pdf] preprint,

Refereed publications *Derivatives of elliptic orbital integrals on a symplectic space,*with M. MacKee and A. Pasquale

→ [pdf] J. Lie Theory, Vol 30, no. 2, (2020) pages 489--512,

*The character and the wave front set correspondence in the stable range.*

→ [pdf] J. Funct. Anal. 274 (2018), 1284-1305

*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

*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.

*Resonances for the Laplacian: the cases BC*, with J. Hilgert and A. Pasquale,_{2}and C_{2}(except SO_{0}(p,2) with p>2 odd)

→ [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.

*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.

*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.*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.

*A reverse engineering approach to the Weil Representation*, with A. M. Aubert,

→ [pdf] Central European Journal of Mathematics**12**(2014), 1200-1285.

*The Cauchy Harish-Chandra integral and the invariant eigendistributions*, with F. Bernon,

→ [pdf] International Mathematics Research Notices**14**(2014), 3818-3862.

*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.

*Boundedness of the Cauchy Harish-Chandra integral*, with F. Bernon,

→ [pdf] J. of Lie Theory**21**(2011), 499-613.

*Normalization of the Cauchy Harish-Chandra integral*, with F. Bernon,

→ [pdf] J. of Lie Theory**21**(2011), 615-702.

*Howe's Correspondence for a Generic Harmonic Analyst*, with M. McKee,

→ [pdf] Colloquium Mathematicum**118**(2010), 539-557.

*On the occurrence of admissible representations in the real Howe correspondence in stable range*, with V. Protsak,

→ [pdf] Manuscripta Mathematica**126**(2008), 135-141.

*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.

*Local Geometry of Orbits for an Ordinary Classical Lie Supergroup*,

→ [pdf] Central European Journal of Mathematics**4**(2006), 449-506.

*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.

*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.

*An Entropy Based Uncertainty Principle for a Locally Compact Abelian Group*, with M. \"Ozayd$\i{}$n,

→ [pdf] J. Funct. Anal.**215**(2004), 241-252.

*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.

*A Capelli Harish-Chandra Homomorphism*,

→ [pdf] Trans. Amer. Math. Soc.**356**(2003), 1121-1154.

*Dual Pairs and Kostant-Sekiguchi Correspondence, I*, with A. Daszkiewicz and W. Kra\'skiewicz,

→ [pdf] J. of Algebra**50**(2002), 408-426.

*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.

*Strictly Positive Definite Functions on a Compact Group*, with M. Allali

→ [pdf] Proc. Amer. Math. Soc.**29**(2001), 1459-1462.

*Reply to ``Comments on `Resolution in Time-Frequency'"*, with V. DeBrunner and M. \"Ozayd$\i{}$n

→ IEEE Transactions on Signal Processing**48**(2000), 3586.

*Analysis in a finite time-frequency plane*, with V. DeBrunner and M. \"Ozayd$\i{}$n

→ IEEE Transactions on Signal Processing**48**(2000), 1831.

*A Cauchy Harish-Chandra Integral, for a real reductive dual pair*,

→ [pdf] Invent. Math**141**(2000), 299-363.

*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.

*Nilpotent Orbits and Complex Dual Pairs*, with A. Daszkiewicz, W. Kra\'skiewicz

→ [pdf] J. of Algebra**190**(1997), 518-539.

*Platonic Orthonormal Wavelets*, with M. \"Ozayd\i{}n

→ [pdf] Applied and Computational Harmonic Analysis**4**(1997), 351-365.

*On the Moment Map of a Multiplicity Free Action*, with A. Daszkiewicz

→ [pdf] Coll. Math.**71**(1996), 107-110.

*The oscillator correspondence of orbital integrals in the stable*, with A. Daszkiewicz

→ [pdf] Duke Mathematical Journal**82**(1996), 1-20.

*The oscillator character formula, for isometry groups of split forms in deep stable range*, with A. Daszkiewicz

→ [pdf] Invent. Math.**123**(1996), 349-376.

*The Duality Correspondence of Infinitesimal Characters*,

→ [pdf] Coll. Math.**70**(1996), 93-102.

*Characters Dual Pairs and Unitary Representations*,

→ [pdf] Duke Mathematical Journal**63**(1993), 547-592.

*Characters, Dual Pairs and Unipotent Representations*,

→ [pdf] J. Funct. Anal.**98**(1991), 59-96.

*The wave front set and the asymptotic support for p-adic groups*,

→ [pdf] Pac. J. Math.**41**(1990), 383-389.

*The Oscillator Duality Correspondence for the pair $O(2,2),Sp(2,\bold R)$*,

→ [pdf] Memoirs of the Amer. Math. Soc.**403**(1989).

*On Howe's Duality Theorem*,

→ [pdf] J. Funct. Anal.**81**(1988), 160-183.

*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

*A reverse engineering approach to the Weil Representation*, with A. M. Aubert (extended and corrected)

→ [pdf]*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.

*Weyl Calculus and Dual Pairs*, with M. McKee and A. Pasquale

→ [pdf]

*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.

*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).

*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).

*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).