Severino T. Melo's research articles

  1. (Co-autor: Rodrigo Cabral) A characterization of Rieffel's deformed algebra as Heisenberg smooth operators. Arxiv

  2. (Co-autores: Rodrigo Cabral, Michael Forger) Differential Norms and Rieffel Algebras. Arxiv.

  3. The principal-symbol index map for an algebra of pseudodifferential operators. In: K-Theory in Algebra, Analysis and Topology. Contemporary Mathematics 749, 225-236, 2020. Offprint, copyright restrictions apply.
  4. (Co-autor: Rodrigo A. H. M. Cabral) Operators with analytic orbit for the torus action. Studia Mathematica 243-3, 243--250, 2018. pdf
  5. (Co-autor: Pedro T. P. Lopes) K-Theory of Boutet de Monvel algebras with classical SG-symbols on the half space. Mathematische Nachrichten 287-16, 1804--1827, 2014.
  6. (Co-autores: Thomas Schick, Elmar Schrohe) Families index for Boutet de Monvel operators, Münster Journal of Mathematics 6 (2013), 343-364. Volume 6 of the Münster Journal.
  7. (Co-autores: Thomas Schick, Elmar Schrohe) C*-Algebra approach to the index theory of boundary value problems. In: Analysis, Geometry and Quantum Field Theory. Contemporary Mathematics 584, 129-146, 2012. DOI: http://dx.doi.org/10.1090/conm/584/11587.
  8. (Co-autor: David P. Dias) The Chern-Connes character for pseudodifferential operators on the sphere, Far East Journal of Mathematical Sciences, 64-2, 269-280, 2012.
  9. (Co-autores: Johannes Aastrup, Bertrand Monthubert, Elmar Schrohe) Boutet de Monvel's Calculus and Groupoids I, Journal of Noncommutative Geometry 4-3, 313-329, 2010.
  10. (Co-autora: Marcela I. Merklen) Cordes characterization for pseudodifferential operators with symbols valued on a noncommutative C*-algebra, Comptes Rendus Mathématiques de l'Académie des Sciences (Canada) 31-1, 24-32, 2009.
  11. (Co-autora: Patrícia Hess) K-Theory of an algebra of pseudodifferential operators on a noncompact manifold, Cubo 11-5, 51-56, 2009.
  12. (Co-autora: Marcela I. Merklen) Pseudodifferential operators with C*-algebra-valued-symbol: Abstract characterizations, Proceedings of the American Mathematical Society 136-1, 219-227, 2008. Abstract.
  13. (Co-autora: Cíntia C. Silva) K-Theory of pseudodifferential operators with semi-periodic symbols, K-Theory 37-3, 235-248, 2006. PDF download, restricted access.
  14. (Co-autores: Thomas Schick, Elmar Schrohe) A K-Theoretic Proof of Boutet de Monvel's Index Theorem for Boundary Value Problems, Journal für die reine und angewandte Mathematik (Crelle's Journal) 599, 217-233, 2006. Abstract.
  15. Norm closure of classical pseudodifferential operators does not contain Hörmander's class; in: Geometric analysis of PDE and several complex variables (S. Chanillo et al., eds), Contemporary Mathematics 368, pp 329-336, American Mathematical Society, Providence, RI, 2005. Volume description.
  16. (Co-autores: Ryszard Nest, Elmar Schrohe) K-Theory of Boutet de Monvel's Algebra; in: Noncommutative Geometry and Quantum Groups (P. Hajac, W. Pusz, eds), Banach Center Publications 61, pp. 149-156, Academia Polonesa de Ciências, Varsóvia, 2003. Free pdf download.
  17. (Co-autores: Ryszard Nest, Elmar Schrohe) C*-Structure and K-Theory of Boutet de Monvel's Algebra; Journal für die reine und angewandte Mathematik (Crelle's Journal) 561, 145-175, 2003. Download.
  18. (Co-autores: José D. Fernandes, Jorge Groisman) Harnack Inequality for a class of degenerate elliptic operators; Zeitschrift für Analysis und ihre Anwendungen 22-1, 129-146, 2003. Abstract.
  19. (Co-autora: Marcela I. Merklen) On a conjectured noncommutative Beals-Cordes-type characterization, Proceedings of the American Mathematical Society 130-7, 1997-2000, 2002. Abstract.
  20. (Co-autor: Francisco Moura-Neto) Darcy's law for a heterogeneous porous medium, Journal of Porous Media 4-2, 165-178, 2001. Abstract and download (restrcited access).
  21. Smooth Operators for the Regular Representation on Homogeneous Spaces, Studia Mathematica 142-2, 149-157, 2000. Download.
  22. (Co-autor: H. O. Cordes) Smooth Operators for the Action of SO(3) on L^2(S^2), Integral Equations and Operator Theory 28-3, 251-260, 1997. Download .
  23. Characterizations of pseudodifferential operators on the circle, Proceedings of the American Mathematical Society 125-5, 1407-1412, 1997. Download.
  24. A comparison algebra on a cylinder with semi-periodic multiplications, Pacific Journal of Mathematics 146-2, 281-304, 1990. Download.
  25. (Co-autor: H. O. Cordes) An algebra of singular integral operators with kernels of bounded oscilation and application to periodic differential operators, Journal of Differential Equations 75-2, 216-238, 1988. Download.
    PhD Thesis
  26. Comparison algebras with periodic symbols. Berkeley, 1988. (3.5MB pdf)
    Resumos
  27. Smooth operators and pseudos. In: Sessão Regular da Academia Brasileira de Ciências (17.06.1998), 1998, São Paulo. Anais da Academia Brasileira de Ciências 70, 905-906, 1998.
  28. Smoooth operators for actions of compact Lie groups. In: Anais do 44º Seminário Brasileiro de Análise (Ribeirão Preto), 265-267, 1996.
    Livro didático

  29. (Co-autor: Francisco Moura-Neto) Mecânica dos Fluidos e Equações Diferenciais, 18º. Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, 1991. pdf.
    Artigos de divulgação

  30. (Co-autor: Antônio Luiz Pereira) Contando áreas (O Teorema de Pick), Revista do Professor de Matemática 78, 36-42, 2012. PDF com versão mais detalhada do que a publicada.
  31. Pontos Racionais, escrito e divulgado em 2011, não-publicado em papel.
  32. (Co-autor: Antônio Luiz Pereira) A Prova Vazada do ENEM: Lado B, 2009. (PDF da prova vazada).
    Versão resumida deste artigo, acrescida de comentários sobre a prova efetivamente aplicada:
    ENEM 2009: vazamentos, erros e contextualizações, Revista do Professor de Matemática 71, 9-23, 2010.
  33. Uma interpretação do algoritmo das eleições proporcionais, Revista do Professor de Matemática 39, 21-26, 1999. pdf.
    Entrevistas

  34. (Co-entrevistadores: Eduardo Colli, Henrique Guzzo e Lúcia Murakami) Shestakov e os automorfismos selvagens. Matemática Universitária 43, 13-25, 2007 pdf.
  35. (Co-entrevistadores: Alberto de Azevedo e Eduardo Colli) Paulo Ribenboim: seis décadas de matemática. Matemática Universitária 45, 20-43, 2008 pdf.
  36. (Co-entrevistador: Michael Forger. Co-tradutor: Eduardo Colli) A poesia de Sir Michael Atiyah. Matemática Universitária 48/49, 27-38, 2010 pdf.
    Parecer

  37. Documento sobre a prova de Matemática de 2014 do Enem, elaborado com Antônio Luiz Pereira, em atendimento a solicitação da Congregação do IME-USP.
    Anexo: Prova Rosa.