Armin Rainer

Faculty of Mathematics

University of Vienna

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You may download this list of publications in PDF format. Most articles are also available on arXiv.org.

Preprints and Work in Progress

Publications in refereed Journals and Proceedings

  1. Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators, with A. Kriegl and P.W. Michor, Integral Equations and Operator Theory 71 (2011), No. 3, 407--416. doi:10.1007/s00020-011-1900-5. arXiv:0910.0155. [PDF]
  2. Addendum to: ''Lifting smooth curves over invariants for representations of compact Lie groups, III'' [J. Lie Theory 16 (2006), No. 3, 579--600.], with A. Kriegl, M. Losik and P.W. Michor, J. Lie Theory 22 (2012), No. 1, 245--249. arXiv:1106.6041. [PDF]
  3. Many parameter Hölder perturbation of unbounded operators, with A. Kriegl and P.W. Michor, Math. Ann., published electronically on June 28, 2011. doi:10.1007/s00208-011-0693-9. ESI Preprint 1921. arXiv:math.FA/0611506. [PDF]
  4. The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings, with A. Kriegl and P.W. Michor, Journal of Functional Analysis 261 (2011), 1799--1834. doi:10.1016/j.jfa.2011.05.019. arXiv:0909.5632. [PDF]
  5. Lifting quasianalytic mappings over invariants, Canad. J. Math., published electronically on July 15, 2011. doi:10.4153/CJM-2011-049-0. arXiv:1007.0836. [PDF]
  6. A generalization of Puiseux's theorem and lifting curves over invariants, with M. Losik and P.W. Michor, Revista Matemática Complutense, 25 (2012), No. 1, 139--155. doi:10.1007/s13163-011-0062-y. arXiv:0904.2068. [PDF]
  7. Quasianalytic multiparameter perturbation of polynomials and normal matrices, Trans. Amer. Math. Soc. 363 (2011), No. 9, 4945--4977. doi:10.1090/S0002-9947-2011-05311-0. arXiv:0905.0837. [PDF]
  8. Smooth roots of hyperbolic polynomials with definable coefficients, Israel J. Math. 184 (2011), No. 1, 157--182. doi:10.1007/s11856-011-0063-z. arXiv:0904.4164. [PDF]
  9. Perturbation of complex polynomials and normal operators, Math. Nach. 282 (2009), No. 12, 1623--1636. doi:10.1002/mana.200910837. arXiv:math.CA/0611633. [PDF]
  10. The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings, with A. Kriegl and P.W. Michor, Journal of Functional Analysis 256 (2009), 3510--3544. doi:10.1016/j.jfa.2009.03.003. arXiv:0804.2995. [PDF]
  11. Invariant functions in Denjoy-Carleman classes, Annals of Global Analysis and Geometry 35 (2009), No. 3, 249--266. doi:10.1007/s10455-008-9135-7. A longer version: arXiv:0711.3163. [PDF]
  12. Orbit projections of proper Lie groupoids as fibrations, Czechoslovak Math. J. 59 (2009), No. 3, 591--594. arXiv:0712.0706. [PDF]
  13. Orbit projections as fibrations, Czechoslovak Math. J. 59 (2009), No. 2, 529--538. ESI Preprint 1854, arXiv:math.DG/0610513. [PDF]
  14. Lifting mappings over invariants of finite groups, with A. Kriegl, M. Losik, and P.W. Michor, Acta Math. Univ. Comenianae 77 (2008), No. 1, 93--122, ESI Preprint 1415, arXiv:math.AG/0312030. [PDF]
  15. Choosing roots of polynomials with symmetries smoothly, with M. Losik, Revista Matemática Complutense 20 (2007), No. 2, 267--291, ESI Preprint 1792, arXiv:math.CA/0603660. [PDF]
  16. Singular Poisson reduction of cotangent bundles, with S. Hochgerner, Revista Matemática Complutense 19 (2006), No. 2, 431--466, ESI Preprint 1681, arXiv:math.SG/0508455. [PDF]
  17. Lifting smooth curves over invariants for representations of compact Lie groups, III, with A. Kriegl, M. Losik, and P.W. Michor, J. Lie Theory 16 (2006), No. 3, 579--600, ESI Preprint 1806, arXiv:math.RT/0504101. [PDF]
  18. Lifting smooth curves over invariants for representations of compact Lie groups, II, with A. Kriegl, M. Losik, and P.W. Michor, J. Lie Theory 15 (2005), No. 1, 227--234, ESI Preprint 1459, arXiv:math.RT/0402222. [PDF]

Research Monograph

Theses

© 2004-2012 A.R.
Updated 1-13-12.