Publications of Angela Pasquale

Submitted preprints	Theses
Scientific publications	In preparation
Other publications	Reviews

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Submitted preprints

• Symmetry breaking operators for dual pairs with one member compact, with M. McKee and T. Przebinda
  →   Preprint version: arxiv:2107.09348, hal-03293407

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Scientific publications

1. Symmetry breaking operators for the reductive dual pair $(\textrm{U}_l,\textrm{U}_{l′})$, with M. McKee and T. Przebinda, Indag. Math., in press
   →   doi.org/10.1016/j.indag.2024.06.004, Preprint version: arxiv:2312.05546
2. 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
3. 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
4. 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
5. 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.
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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,
18. 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
19. 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
20. 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)].
21. 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
22. 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.
23. 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
24. 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)],
25. 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
26. 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.
    →   http://journals.impan.gov.pl/Publ/bc55.html.
27. 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.
28. 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
29. 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
30. 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
31. 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
32. 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
33. The bounded Vietoris topology and applications, with R. Lucchetti, Ricerche di Mat. 43 (1994), 93-110. →  
34. Hypertopologies induced by scales of functional kind, Boll. Un. Mat. It. 7 (1993), no. 2, 431--449. →  

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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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