Bibliografia

Principal

  • [RHP] Introduction and Applications of Complex Variables: M. J. Ablowitz and A. S. Fokas 2003 Cambridge University Press - 2nd edition
  • [RHP] Fredholmness of Toeplitz operators and corona problems: M.C. Câmara, C. Diogo and L. Rodman 2010 J. Funct. Anal. 259, pp. 1273-1299
  • [RHP] Factorization of Matrix Functions and Singular Integral Operators: K.F. Clancey and I. Gohberg 1981 Oper. Theory Adv. Appl., Vol.3, Birkhauser Verlag
  • [RHP] Banach Algebra Techniques in Operator Theory: R.G. Douglas 1998 Springer Verlag 2nd edition.
  • [RHP]  Integral Equations in Convolution with Discontinuous Presymbols, Singular Integral Equation with Fixed Singularities and their Applications to some Problems of Mechanics: R. Duduchava 1979 Teubner Verlagsgesellschaft, Leipzig
  • [RHP] Theory of HP Spaces: P.Duren 1970 Academic Press
  • [RHP] The Riemann-Hilbert problem and integral systems: A. Its 2003 Notices Amer. Math. Soc. 50, no. 11, pp. 1389-1400
  • [RHP] Singular Integral Operators: S.G. Mikhlin, S. Prossdorf 1986 Springer Verlag, Berlin
  • [TO] Lecture notes on Álgebras de Operadores Integrais Singulares: M.A. Bastos. A.B. Lebre 2005 DM-IST, pp. 280
  • [TO] Analysis of Toeplitz Operators: A. Böttcher, B. Silbermann 2006 Spring-Verlag Berlin
  • [TO] One Dimensional Linear Singular Integral Operators: I. Gohberg. N. Krupnik 1992 Birkhäuser
  • [TO] A Gohberg-Krupnik-Sarason symbol calculus for algebras of Toeplitz, Hankel, Cauchy, and Carleman operators: A. Böttcher, S. Roch, S. Silbermann 1990 Oper.Theory Adv. Appl., Vol. 48, Birkhäuser, Basel, pp. 189-234
  • [TO] C*-Algebras of integral operators with piecewise slowly oscillating coefficients and shifts acting freely: M.A. Bastos, C.A. Fernandes, Y.I. Karlovich 2006 Integral Equations Operator Theory, 55, pp. 19-67
  • [TO] Factorization of singular integral operators with a Carleman backward shift: The case of bounded measurable coefficients: V.G. Kravchenko, A.B. Lebre, and J.S. Rodríguez 2009 J. Anal. Math. 107: pp. 1-37
  • [TO] Some results on the invertibility of Toeplitz plus Hankel Operators: Victor D. Didenko, Bernd Silbermann 2014 Annales Academiae Scientiarium Fennicae Mathematica, Vol. 39,  pp. 443-461

Secundária

  • [RHP] Explicit Wiener-Hopf factorization for certain non-rational matrix functions: T. Aktosun, M. Klaus, and C. van der Mee 1992 Int. Eq. Op Th 15, pp. 879-900
  • [RHP] Oscillatory Riemann-Hilbert problems and the corona theorem: M. A. Bastos, Yu. Karlovich and A.F. dos Santos 2003 J. Functional Analysis 197, pp. 347-397
  • [RHP]  Lectures on Random Matrix Models. The Riemann-Hilbert approach, Random Matrices:  P.M. Bleher 2011 Random Matrices, Random Processes and Integrable Systems, CRM Series in Mathematical Physics,  pp. 251-349
  • [RHP] On the Geroch group: P. Breitenlohner and D. Maison 1987 Ann. Inst. Henri Poincaré 46, nº 2 pp. 215-246
  • [RHP] Meromorphic factorization revisited and application to some groups of matrix functions: M.C. Câmara and M.T. Malheiro 2008 Complex Anal. Oper. Theory 2, nº 2 pp. 229-326.
  • [RHP] Near invariance and kernels of Toeplitz operators: M.C. Câmara and J.R. Partington 2014 J. Anal. Math. 124 pp. 235-260
  • [RHP] Matrix Riemann-Hilbert problems and factorization on Riemann surfaces: M.C. Câmara, A.F. dos Santos and P.F. dos Santos 2008 J. Funct. Anal. 225, nº 1, pp. 228-254
  • [RHP]  Asymmetric factorizations of matrix functions on the real line: Castro L.P., Duduchava, R., Speck, F.-O. 2007 Oper. Theory Adv. Appl., Modern operator theory and applications, 170, pp. 53-74, Birkhäuser Verlag
  • [RHP] One-dimensional Linear Singular Integral Equations: I. Gohberg and N. Krupnik 1992 Oper. Theory Adv. Appl., BirkhauserVerlag, Vol. 53
  • [RHP] Explicit solution of Riemann-Hilbert problems for the Ernst equation: C. Klein and O. Richter 1998 Phys. Rev. D 57, nº 2  857-862
  • [RHP] The Riemann-Hilbert problem and inverse scattering: Zhou, X. 1989 SIAM J. Math Anal. 20 pp. 966-986
  • [TO] Algebraic properties of Toeplitz operators: Arlen Brown and P.R. Halmos 1964 J. Reine Angew. Math. 213, pp. 89-102
  • [TO] Banach Algebra Techniques in Operator Theory: R.G. Douglas 1998 Academic Press, (1972), second edition Springer Verlag (1998)
  • [TO] Factorization of Matrix Functions and Singular Integral Operators: K.F. Clancey and I. Gohberg 1981 Oper. Theory Adv. Appl., Vol.3, Birkhauser Verlag
  • [TO] Algebras of convolution operators and their image in the Calkin algebras –Report MATH 90: S. Roch, and B. Silbermann 1990 Akademie der DDR, Karl-Weierstrass –Institut für Mathematik, Berlin
  • [TO] Factorization of singular integral operators with a Carleman shift via factorization of matrix functions: the anticommutative case: V.G. Kravchenko, A.B. Lebre and J.S. Rodríguez 2007 Math. Nachr. 280: pp. 1157–1175
  • [TO] Algebras generated by idempotents and the symbol for singular integral operators: S. Roch, B. Silbermann 1988 Int. Equat. Oper. Th. 11, pp. 1385-1402