Publications of Angela Pasquale

Submitted preprints	Theses
Scientific publications	In preparation
Edited works	Reviews
Other publications

Scientific publications

1. Symmetry breaking operators for dual pairs with one member compact, with M. McKee and T. Przebinda, J. Math. Sci. Univ. Tokyo 32 (2025), No. 3, 257–400.
   →   https://www.ms.u-tokyo.ac.jp/journal/number/jms3203.html Preprint version: arxiv:2107.09348, hal-03293407
2. Symmetry breaking operators for the reductive dual pair $(\textrm{U}_l,\textrm{U}_{l′})$, with M. McKee and T. Przebinda, Indag. Math.36 (2025), Issue 2, 413-449
   →   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 T. Przebinda, 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. The resonances of the Capelli operators for small split orthosymplectic dual pairs with Roberto Bramati and Tomasz Przebinda, J. Lie Theory 33 (2023), no. 1, 93–132.
   →   Preprint version: 2208.01759, hal-03744457
5. Hypergeometric functions of type BC and standard multiplicities, with E. K. Narayanan, Int. Math. Res. Not., Volume 2022, Issue 19, October 2022, Pages 15111–15154 (online publication: 18 June 2021)
   →   doi.org/10.1093/imrn/rnab146 . Preprint version: arxiv:2008.00337
6. Derivatives of Elliptic Orbital Integrals on a Symplectic Space, with M. McKee and T. Przebinda, J. of Lie Theory 30, no. 2 (dedicated to Jimmie D. Lawson) (2020), 489--512.
   →   http://www.heldermann.de/JLT/JLT30/JLT302/jlt30028.htm, hal-02919139v1.
7. Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3), with J. Hilgert and T. Przebinda, Represent. Theory 21 (2017), 416-457.
   →   doi.org/10.1090/ert/506. Preprint version: arxiv:1411.6527, hal-01096756
8. Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces, with J. Hilgert and T. Przebinda, J. Funct. Anal. 272 (2017), no. 4, 1477-1523.
   →   doi.org/10.1016/j.jfa.2016.12.009. Preprint version: arxiv:1508.7032, hal-03960463
9. Resonances for the Laplacian: the cases BC₂ and C₂ (except SO₀(p,2) with p>2 odd), with J. Hilgert and T. Przebinda, 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.
   →   [link.springer]. Preprint version: arxiv:1511.00488; hal-01232037
10. Semisimple orbital integrals on the symplectic space for a real reductive dual pair, with M. Mckee and T. Przebinda, J. Funct. Anal. 268 (2015), 278-335.
    →   doi:10.1016/j.jfa.2014.10.002. Preprint version: arXiv:1112.0479, hal-01096793
11. Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications, with E.K. Narayanan and S. Pusti, Adv. Math. 252 (2014), 227-259.
    →   doi:10.1016/j.aim.2013.10.027. Preprint version: arxiv:1201.3891, hal-01096768
12. Ramanujan's Master theorem for the hypergeometric Fourier transform on root systems, with G. Ólafsson, J. Fourier Anal. Appl. 19 (2013), no. 6, 1150-1183.
    →   doi 10.1007/s00041-013-9290-5. Preprint version: arXiv:1211.0024, hal-01232021
13. Analytic and group-theoretic aspects of the Cosine Transform, with G. Ólafsson and B. Rubin, Contemp. Math. 584 (2013), 167-188. In: Geometric Analysis and Integral Geometry, Eric Todd Quinto, Fulton Gonzalez, Jens Gerlach Christensen (Eds).
    →   http://dx.doi.org/10.1090/conm/598/12009. Preprint version: arXiv:1209.1822, hal-01281896
14. Ramanujan's Master Theorem for Riemannian symmetric spaces, with G. Ólafsson, J. Funct. Anal. 262 (2012), no. 11, 4851-4890.
    →   doi:10.1006/jfan.2000.3721. Preprint version: arXiv:1103.5126, hal-01234565
15. The Cos^\lambda and Sin^\lambda transforms as intertwining operators between generalized principal series representations of SL(n+1,K), with G. Ólafsson, Adv. Math. 229 (2012), 267-293.
    →   doi:10.1016/j.aim.2011.08.015. Preprint version: arXiv:1103.4557, hal-01279429
16. Uncertainty principles for the Schrödinger equation on Riemannian symmetric spaces of the noncompact type, with M. Sundari, Ann. Inst. Fourier (Grenoble) 62 (2012), no.3, 859-886.
    →   aif.cedram.org/cedram-bin/article/AIF_2012__62_3_859_0.pdf. Preprint version: arXiv:1011.1066, hal-01279413
17. Resonances and residue operators for symmetric spaces of rank one, with J. Hilgert, J. Math. Pures et Appl. 91 (2009), 495-507
    →   doi:10.1016/j.matpur.2009.01.009. Preprint version: hal-03960463
18. Support properties and Holmgren's uniqueness theorem for differential operators with hyperplane singularities, with G. Ólafsson, J. Funct. Anal. 239 (2006), no. 1, 21--43.
    →   doi:10.1016/j.jfa.2005.12.006. Preprint version: arXiv:math/0410581,
19. The Paley-Wiener theorem for the Jacobi transform and the local Huygens' principle for root systems with even multiplicities, with T. Branson and G. Ólafsson, Indag. Math. (N.S.) 16 (2005), no. 3-4, 429-442.
    →   doi:10.1016/S0019-3577(05)80034-5. Preprint version: arXiv:math/0508234, hal-03960463
20. The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case, with T. Branson and G. Ólafsson, Indag. Math. (N.S.) 16 (2005), no. 3-4, 393--428.
    →   doi:10.1016/S0019-3577(05)80033-3. Preprint version: arXiv:math/0411383, hal-03960498
21. The $\Theta$-spherical transform and its inversion. Math. Scand. 95 (2004), no. 2, 265-284.
    →   http://www.mscand.dk/article/view/14459 or http://www.jstor.org/stable/24493427. Preprint version: [ps (257k)].
22. Asymptotic analysis of $\Theta$-hypergeometric functions. Invent. Math. 157, No 1 (2004) 71-122.
    →   10.1007/s00222-003-0349-9 . Preprint version: [ps (688k)], hal-03960443
23. A Paley-Wiener theorem for the Θ-hypergeometric transform: the even multiplicity case, with G. Ólafsson. J. Math. Pures et Appl. 83, No 7 (2004), 869-927.
    →   doi:10.1016/j.matpur.2004.02.002. Preprint version: arXiv:math/0304361.
24. Paley-Wiener theorems for the $\Theta$-spherical transform: an overview, with G. Ólafsson. Acta Appl. Math. 81, No 1 (2004), 275-309.
    →   doi:10.1023/B:ACAP.0000024203.22722.ecy Preprint version [ps (406k)]. arXiv:math/0311246v1
25. The dual horospherical Radon transform as a limit of spherical Radon transforms, with J. Hilgert and E. Vinberg. In: S. G. Gindikin (ed.), Lie Groups and Symmetric Spaces: In Memory of F. I. Karpelevich, Amer. Math. Soc. Translations (2) 210 (2003), 135-143.
    →   Preprint version [ps (186k)],
26. The dual horospherical Radon transform for polynomials, with J. Hilgert and E. B. Vinberg, Moscow Math. Journal 2 (2002), no. 1, 115-128.
    →   http://www.ams.org/distribution/mmj/vol2-1-2002/cont2-1-2002.html . Preprint version: arxiv:math/0109113
27. Regularity properties of generalized Harish-Chandra expansions, with G. Ólafsson. In A. Strasburger et al. (eds.), Geometry and analysis on finite- and infinite-dimensional Lie groups, Banach Center Publications 55 (2002), 335-348.
    →   https://www.impan.pl/en/publishing-house/banach-center-publications/all/55.
28. On the meromorphic extension of the spherical functions on noncompactly causal symmetric spaces, with G. Ólafsson, J. Funct. Anal. 181 (2001), no. 2, 346-401 (doi:10.1006/jfan.2000.3721)
    →   doi:10.1006/jfan.2000.3721.
29. A Paley-Wiener theorem for the inverse spherical transform, Pacific J. Math. 193 (2000), no. 1, 143-177.
    →   http://msp.org/pjm/2000/193-1/pjm-v193-n1-p09-s.pdf
30. Canonical representations of Sp(1,n) associated with representations of Sp(1), with G. van Dijk, Comm. Math. Phys.202 (1999), no. 3, 651-667.
    →   http://link.springer.de/link/service/journals/00220/tocs/t9202003.htm
31. Harmonic Analysis on vector bundles over Sp(1,n)/Sp(1)xSp(n), with G. van Dijk, Enseign. Math. 45 (1999), no. 3-4, 219-252.
    →   https://www.e-periodica.ch/digbib/view?pid=ens-001:1999:45::517
32. Maximal degenerate representations of SL(n+1,H), J. of Lie Theory 9 (1999), no. 2, 369-382.
    →   http://www.emis.de/journals/JLT/vol.9_no.2/index.html
33. A new approach to a hyperspace theory, with R. Lucchetti, J. Convex Anal. 1 (1994), no. 2, 173-193 (1995).
    →   http://www.emis.de/journals/JCA/vol.1_no.2/index.html
34. The bounded Vietoris topology and applications, with R. Lucchetti, Ricerche di Mat. 43 (1994), 93-110. →  
35. Hypertopologies induced by scales of functional kind, Boll. Un. Mat. It. 7 (1993), no. 2, 431--449. →  

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Edited works

• Representations and Characters: Revisiting the Works of Harish-Chandra and André Weil, edited by Hung Yean Loke (National University of Singapore, Singapore), Angela Pasquale (Université de Lorraine, France), Tomasz Przebinda (University of Oklahoma, USA), and Binyong Sun (Zhejiang University, China), Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore: Volume 45, World Scientifics, March 2026, 370 pages, →   https://www.worldscientific.com/worldscibooks/10.1142/14652#t=aboutBook

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Theses

• A theory of $\Theta$-spherical functions. Habilitation thesis, TU-Clausthal (2002)
  [ps.gz (291k)].
• A Paley-Wiener theorem for the inverse spherical transform on certain symmetric spaces. Ph.D. thesis, University of Washington (1996)
  [ps.gz (k)].

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Other publications

• Fonctions $\Theta$-hypergéométriques et $\Theta$-Bessel liées aux systèmes de racines : quelques résultats et problèmes ouverts, article basé sur un exposé au Groupe de Recherche Interuniversitaire "Analyse Harmonique Invariante sur les Espaces Symétriques Réductifs, 25.03.2005, Institut de Jussieu/Chevaleret, Paris, 17 pages.
• $\Theta$-hypergeometric functions and shift operators, Oberwolfach Reports 1, No. 1, 2004, pages 339-341. Link
• Weyl's integration formula for U(N), Lecture given at the DMV Seminar ``The Riemann Zeta Function and Random Matrix Theory'', Oberwolfach, 15-21 october 2000. Web page of the Seminar.
• Harmonic analysis on vector bundles over Riemannian symmetric spaces, Research Highlights, Annual Report 1997, Mathematical Institute, Rijksuniversiteit Leiden (1999), 10--15.
• Differential operators, radial parts and a one-parameter family of hyper$ with E. K. Narayanan, 36 pages, 2017.
  →   arxiv:1705.00277
• Weyl Calculus and Dual Pairs, with M. McKee and T. Przebinda, 99 pages, 2014.
  →   arxiv:1405.2431

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Reviews

Math Reviews and Zentralblatt MATH reviews of my papers.
Reviews I wrote for the Math Reviews and for the Zentralblatt MATH.

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