IST web page CEMAT



Instituto Superior Técnico

 

     


    Books

 

  •  I. Gohberg, A.F. dos Santos, F.-O. Speck, F.S. Teixeira, W. Wendland (Editors). Operator Theoretical Methods and Applications to Mathematical Physics. The Erhard Meister Memorial Volume. Operator Theory: Advances and Applications, Vol. 147, Birkhäuser, Basel 2004, xvi + 476 p..

  • A. Böttcher, A. F. dos Santos, M. A. Kaashoek, A. B. Lebre, F.-O. Speck (Editors). Singular Integral Operators, Factorization and Applications. Proceedings IWOTA Conf. Portugal 2000. Operator Theory: Advances and Applications, Vol. 142., Birkhäuser, Basel 2003, 404 p..

  • I. Gohberg, N. Manojlovic and A. F. dos Santos (Editors). Factorization and Integrable Systems, Vol. 141, Operator Theory: Advances and Applications. Birkhäuser, 2003, 218 p..

  • S. Samko, A. B. Lebre and A. F. dos Santos (Editors). Factorization. Singular Operators and Related Problems. Proceedings of the Conference in Honour of Professor Gueorgii Litvinchuk. Kluwer, 2003, 333p..

  • G. S. Litvinchuk. Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift, Vol. 523, Mathematics and its Applications. Kluwer Academic Publisher, 2000, 378 p.. 


  • Research Papers  

    2006      

    2005      

  • M. A. Bastos, C.A. Fernandes, Yu. Karlovich, C* algebras of integral operators with piecewise slowly oscillating coefficients and shifts acting freely. Integr. Equ. Oper. Theory 53 (2005), online publ. DOI 10.1007/s00020-005-1377-1, 49 p.

  • L. Castro, R. Duduchava, and F.-O. Speck, Finite interval convolution operators with transmission property. Integr. Equ. Oper. Theory 52 (2005), 165-179. 

  •  L. Castro and F.-O. Speck, Inversion of matrix convolution type operators with symmetry. Portugaliae Mathematica 62 (2005), 193-216. 

  • L. Castro, F.-O. Speck and F.S. Teixeira, Convolution operators on intervals and their use in diffraction theory. Bulletin of the International Center for Mathematics 19 (2005), 10-18. 

  • L. Castro, F.-O. Speck and F.S. Teixeira, Mixed boundary value problems for the Helmholtz equation in a quadrant. Integr. Equ. Oper. Theory (2005), online publication DOI 10.1007/s00020-005-1410-4, 44 p. 

  • A. Karlovich and A. Lerner, Commutators of singular integrals on generalized Lp spaces with variable exponent. Publicacions Matemàtiques 49 (2005), 111-125. 

  • A. Karlovich and P. A. Santos, On asymptotics of Toeplitz determinants with symbols of nonstandard smoothness. Journal of Fourier Analysis and Applications 11 (2005), 43-72. 

  • Yu. Karlovich and L. Pessoa, Algebras generated by the Bergman and anti-Bergman projections and by the multiplication operators by piecewise continuous functions. Integr. Equ. Oper. Theory 52 (2005), 219-270. 

  • 2004                                                                                                                                                                                                     

  • M. A. Bastos, A. Bravo, Yu. Karlovich, Convolution type operators with symbols generated by slowly oscillating and piecewise continuous matrix functions, Operator Theory: Advances and Applications, Vol. 147, Birkhäuser, Basel 2004, 151-174.

  • M. A. Bastos, A. Bravo, Yu. Karlovich, Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data, Math. Nachrichten 269-270 (2004), 11-38.

  • M. A. Bastos, A. Moura Santos, A. F. dos Santos, Wave diffraction by a strip grating: the two-straight line approach, Math. Nachrichten 269-270 (2004), 39-58.

  • M. A. Bastos, Yu. Karlovich, and B. Silbermann, Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic matrix functions, Proc. London Math. Soc., 89 (2004), 697-737.  

  • L. P. Castro and A. Moura Santos: An operator approach for an oblique derivative boundary-transmission problem. Math. Meth. Appl. Sci., 27 (2004), 1469-1491.

  • L. P. Castro, F.-O. Speck and F.S. Teixeira, On a class of wedge diffraction problems posted by Erhard Meister. In: Operator Theoretical Methods and Applications to Mathematical Physics. The Erhard Meister Memorial Volume (Eds. I. Gohberg et alt.), Operator Theory: Advances and Applications, Vol. 147, Birkhäuser, Basel 2004, 211-238.

  • L. P. Castro, F.-O. Speck and F. S. Teixeira, A direct approach to convolution type operators with symmetry. Math. Nachrichten 269-270 (2004), 73-85.

  • I. Gohberg, F.-O. Speck and A. Ferreira dos Santos (Co-editors) Operator Theoretical Methods and Applications to Mathematical Physics. Erhard Meister Memorial Volume, Operator Theory: Advances and Applications, Vol. 147, Birkhäuser, Basel 2004.

  • I. Gohberg, A. F. dos Santos, F.-O. Speck, F. S. Teixeira, W. Wendland, Operator Theoretical Methods and Applications to Mathematical Physics. The Erhard Meister Memorial Volume. Operator Theory: Advances and Applications, Vol. 147, Birkhäuser, Basel 2004, xvi + 476 p.

  • H. Mascarenhas and B. Silbermann, Convolution type operators on cones and their finite sections. Math. Nachrichten 278, 3, (2004), 290-311.

  • A. Karlovich, Some algebras of functions with Fourier coefficients in weighted Orlicz sequence spaces. Operator Theoretical Methods and Applications to Mathematical Physics. Erhard Meister Memorial Volume. Operator Theory: Advances and Applications, 147 (2004), 287 - 296.

  • A. Karlovich, Norms of Toeplitz and Hankel operators on Hardy type subspaces of rearrangement-invariant spaces, Integral Equations and Operator Theory, 49 (2004),  43-64.

  • F.-O. Speck, In memory of Erhard Meister (a short biography). In: Operator Theoretical Methods and Applications to Mathematical Physics. The Erhard Meister Memorial Volume (Eds. I. Gohberg et al.). Operator Theory: Advances and Applications, Vol. 147, Birkhäuser, Basel, 2004, 27-46.

  • F.-O. Speck, H.-D- Alber and R. Farwig, In Honour of Erhard Meister, Math. Nachrichten 269-270 (2004), 4-10.

  • 2003

  • M. A. Bastos, Yu. Karlovich and A. F. dos Santos. Oscillatory Riemann-Hilbert problems and the corona theorem.  J. Funct. Anal., Vol. 197, 347--397, 2003.

  • M. A. Bastos, A. Bravo and Yu.  Karlovich, Singular Integral Operators with Piecewise Almost Periodic Coefficients and Carleman Shift. Singular Integral Operators, Factorization and Applications, (Eds. A. Böttcher et alt.). Proceedings IWOTA Conf. Portugal 2000, Operator Theory: Advances and Applications, vol. 142, 29--57, Birkhäuser, Basel 2003.

  • L. P. Castro, F.-O. Speck and F.S. Teixeira, Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip. Journal of Integral Equations and Applications 15 (2003), 359--383.

  • L. P. Castro and F.-O. Speck, Well-posedness of diffraction problems involving n coplanar strips. Singular Integral Operators, Factorization and Applications (Eds. A. Böttcher et alt.). Proceedings IWOTA Conf. Portugal 2000, Operator Theory: Advances and Applications, Vol. 142, 81--93, Birkhäuser, Basel 2003.

  • L. P. Castro, R. Duduchava and F.-O. Speck, Localization and minimal normalization of some basic mixed boundary value problems. Factorization, Singular Operators and Related Problems. Proceedings of the Conference in Honour of Professor Georgii Litvinchuk at Funchal, Portugal 2002 (Eds. S. Samko et alt.),  73--100, Kluwer, Dordrecht 2003.

  • A. Conceição, V.G. Kravchenko and F.S. Teixeira. Factorization of matrix functions and the resolvents of certain operators. Operator Theory:Advances and Applications, Vol.142,  91--100. Birkhäuser Verlag, 2003.

  • A. Conceição, V.G. Kravchenko, and F.S. Teixeira. Factorization of some classes of matrix functions and the resolvent of a Hankel operator. Factorization, Singular Operators and Related Problems,  101--110. Kluwer Academic Publishers, 2003.

  • A.Karlovich, Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces. Journal of Integral Equations and Applications, 15 (2003),  263--320.

  • A. Karlovich,  Yu. Karlovich, and A. Lebre, Invertibility of functional operators with slowly oscillating non-Carleman shifts. Singular Integral Operators, Factorization and Applications. International Workshop on Operator Theory and Applications, IWOTA 2000, Portugal. Operator Theory: Advances and Applications, 142 (2003), 147--174.

  • A. Karlovich and Yu. Karlovich, Compactness of commutators arising in the Fredholm theory of singular integral operators with shifts. Factorization, Singular Operators and Related Problems; Proceedings of the conference in honour of Georgui Litvinchuk, Kluwer Academic Publishers, Dordrecht, 2003,  111--129.

  • V. G. Kravchenko, A. B. Lebre and J. Rodriguez. Factorization of singular integral operators with shift via factorization of matrix functions. Operator Theory: Advances and Applications, Vol. 142, 189--211. Birkhäuser, 2003.  

  • L. Oliveira. Weak*-closed Jordan Ideals of nest algebras. Mathematische Nachrichten 248/249 (2003) 129--143.

  • L. Oliveira. On the structure of inner ideals of nest algebras.  Rendiconti del Circolo Matematico di Palermo (2) 52 (2003) 224--240.

  • P.A. Santos and B. Silbermann. An axiomatic approach to stability of approximation sequences. In:Singular Integral Operators, Factorization and Applications, (Eds. A. Böttcher et alt.). Proceedings IWOTA Conf. Portugal 2000, Operator Theory: Advances and Applications, Vol. 142, 369--381. Birkhäuser, Basel 2003.

  • 2002

  • M. A. Bastos, Yu. Karlovich and A. F. dos Santos. The invertibility of convolution type operators on a union of intervals and the corona theorem. Integral Equations Operator Theory, 42(1),  22--56, 2002.

  • M. C. Câmara, A. F. dos Santos and M.P. Carpentier. Explicit Wiener-Hopf factorization and non-linear Riemann-Hilbert problems.  Proc. Roy. Soc. Edinburgh, Ser. A, 132, 45--74, 2002.

  • L. P. Castro, R. Duduchava, and F.-O. Speck. Singular integral equations on piecewise smooth curves in spaces of smooth functions. Toeplitz Matrices and Singular Integral Equations (A. Bottcher et al., editor). Operator Theory: Advances and Applications, vol 135, 107--144. Birkhauser, 2002.

  • T. Ehrhardt and F.-O. Speck. Transformation techniques towards the factorization of non-rational 2 x 2 matrix functions. Linear Algebra Appl., 353,  53--90, 2002. 

  • A. Karlovich. Algebras of singular integral operators on rearrangement-invariant spaces and Nikolski ideals.  New York Journal of Mathematics, 8,  215--234, 2002.

  • A. Karlovich. Algebras of singular integral operators with PC coeffcients in rearrangement-invariant spaces with Muckenhoupt weights. J. Operator Theory, 47,  303--323, 2002.

  • A. Karlovich and Yu. Karlovich. Invertibility in Banach algebras of functional operators with non-carleman shifts. Proceedings of Ukrainian Mathematical Congress - 2001, 107--124. Institute of Mathematics of NAS of Ukraine, Kiev, 2002.

  • A. Karlovich and Yu. Karlovich. One-sided invertibility of binomial functional operators with a shift on rearrangement-invariant spaces.Integral Equations Operator Theory, 42(2), pp. 201--228, 2002.

  • F.-O. Speck. In Memoriam Professor Erhard Meister (1930-2001). Math. Methods Appl.Sci., 25, 1--2, 2002.

  • 2001

  • M. C. Câmara, A. F. dos Santos, and N. Manojlovic. Generalized factorization for NxN Daniele-Khrapkov matrix functions. Math. Methods Appl. Sci., 24,  993--1020, 2001.

  • Yu. Karlovich. Criteria for one-sided invertibility of a functional operator in rearrangement-invariant spaces of fundamental type.  Math. Nachr., 229,  91--118, 2001.

  • Yu. Karlovich and A. B. Lebre. Algebra of singular integral operators with a Carleman backward slowly oscillating shift. Integral Equations Operator Theory, 41,  288--323, 2001.

  • Yu. Karlovich and L. Maligranda. On the interpolation constant for Orlicz spaces. Proc. Amer. Math. Soc., 129, 2727--2739, 2001.

  • V. G. Kravchenko, A. B. Lebre, and G. S. Litvinchuck. Spectrum problems for singular integral operators with Carleman shift. Math. Nachr., 226, 129--151, 2001.

  • V.G. Kravchenko, A. B. Lebre and J. S. Rodriguez. Factorization of singular integral operators with a Carleman shift and spectral problems. J. Integral Equations Appl., 13(4), 339--383, 2001 (published in 2002).

  • P. A. Santos. Spline approximation methods with uniform meshes in algebras of multiplication and convolution operators. Math. Nachr., 232, 95--127, 2001.

  • 2000

  • A. Böttcher, Yu. Karlovich, and V. S. Rabinovich. The method of limit operators for one-dimensional integrals with slowly oscillating data. J. Operator Theory., 43, 171--198, 2000.

  • M. C. Câmara and A. F. dos Santos. Wiener-Hopf factorization for a class of oscillatory symbols. Integral Equations Operator Theory, 36(4), 409--432, 2000.

  • L. P. Castro and F.-O. Speck. An operator approach to a boundary value problem for the Helmholtz equation. Proceedings of the 17th Conference on Operator Theory at Timisoara, Romenia, June 1998, Theta Foundation,  67--86, 2000.

  • L. P. Castro and F.-O. Speck. Relations between convolution type operators on intervals and on the half-line. Integral Equations Operator Theory, 37, 169--207, 2000.

  • R. Duduchava and F.-O. Speck. Singular integral equations in special weighted spaces. Georgian Math. J., 7, 633-642, 2000.

  • A. Karlovich, On the essential norm of the Cauchy singular integral operator in weighted rearrangement-invariant spaces. Integral Equations and Operator Theory, 38, no. 1, 28--50, 2000.

  • P. A. Lopes and A. F. dos Santos. New results on the invertibility of the finite interval convolution operator.Integral Equations Operator Theory, 38, 317--333, 2000.

  • P. A. Santos and B. Silbermann. Galerkin method for Wiener-Hopf operators with piecewise continuous symbol. Integral Equations Operator Theory, 38, 66--80, 2000.

  • 1999

  • M. C. Câmara and A. F. dos Santos. Wiener-Hopf factorization of a generalized Daniele-Krapkov class of 2x2 matrix symbols. Math. Methods Appl. Sci., 22(6), 461--484, 1999.

  • Yu. Karlovich, I. M. Spitkovsky, and R. A. Walker. Almost periodic factorization of block triangular matrix functions revisited. Linear Algebra Appl., 293(1-3), 199--232, 1999.

  • F. Penzel and F. S. Teixeira. The Helmholtz equation in a quadrant with Robin's conditions. Math. Methods Appl. Sci., 22(3), 201--216, 1999.

  • 1998

  • M. A. Bastos, Yu. Karlovich, A. F. dos Santos, and P. M. Tishin. The corona theorem and the existence of canonical factorization of triangular AP-matrix functions. J. Math. Anal. Appl., 223, 494--522, 1998.

  • M. A. Bastos, Yu. Karlovich, A. F. dos Santos, and P. M. Tishin. The corona theorem and the canonical factorization of triangular AP-matrix functions - effective criteria and explicit formulas. J. Math. Anal. Appl., 223, 523--550, 1998.

  • J. A. Ball, Yu. Karlovich, L. Rodman, and I. M. Spitkovsky. Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions. Integral Equations Operator Theory, 32, 243--281, 1998.

  • M. A. Bastos, Yu. Karlovich, I. M. Spitkovsky, and P. M. Tishin. On a new algorithm for almost periodic factorization.  Recent Progress in Operator Theory, I. Gohberg, R. Mennicken, and C. Tretter, editors, vol. 103, Operator Theory: Advances and Applications,  53--74. Birkhäuser, 1998.

  • A. Böttcher and Yu. Karlovich. Algebra of singular integral operators on the Lebesgue space with a Muckenhoupt weight on a closed Carleson curve. Dokl. Math., 57, 193--196, 1998.

  • A. Böttcher, Yu. Karlovich, and V. S. Rabinovich. Mellin pseudodifferential operators with slowly varying symbols and singular integrals on Carleson curves with Muckenhoupt weights. Manuscripta Math., 95, 363--376, 1998.

  • M. C. Câmara and A. F. dos Santos. A non-linear approach to generalized factorization of matrix functions. Differential and Integral Operators,  I. Gohberg, R. Mennicken, and C. Tretter, editors, volume 102 of Operator Theory: Advances and Applications,  21--37. Birkhäuser, 1998.

  • L. P. Castro and F.-O. Speck. A Fredholm study for Sommerfeld diffraction problems. In M. Bach, C. Constanda, G. C. Hsiao, A.-M. Sändig, and P. Werner, editors, Analysis, Numerics and Applications of Differential and Integral Equations, Proc. Inter. Conf. Stuttgart 1996, vol. 379, Pitman Research Notes in Math.,  47--51. Addison Wesley Longman, 1998.

  • L. P. Castro and F.-O. Speck. Regularity properties and generalized inverses of delta-related operators. Z. Anal. Anwendungen, 17, 577--598, 1998.

  • Yu. Karlovich and I. M. Spitkovsky. The semi-Fredholmness of singular integral operators with matrix semi-almost periodic coefficients. Dokl. Math., 57, 176--178, 1998.

  • E. Meister, F. Penzel, F.-O. Speck, and F. S. Teixeira, Some interior and exterior boundary value problems for the Helmholtz equation in a quadrant. In I. Gohberg, R. Mennicken, and C. Tretter, editors, Differential and Integral Operators, vol. 102,  Operator Theory: Advances and Applications, 169--178. Birkhäuser, 1998.

  • A. Moura Santos, F.-O. Speck, and F. S. Teixeira. Minimal normalization of Wiener-Hopf operators in applications. In M. Bach, C. Constanda, G. C. Hsiao, A.-M. Sändig, and P. Werner, editors, Analysis, Numerics and Applications of Differential and Integral Equations, Proc. Intern. Conf. Stuttgart 1996, vol. 379, Pitman Research Notes in Math.,189--193. Addison Wesley Longman, 1998.

  • A. Moura Santos, F.-O. Speck, and F. S. Teixeira. Minimal normalization of Wiener-Hopf operators in spaces of Bessel potentials. J. Math. Anal. Appl., 225, 501--531, 1998.

  • 1997

  • A. Böttcher and Yu. Karlovich. The algebra of singular integral operators on a closed Carleson curve. Dokl. Math., 56, 813--816, 1997.

  • L. P. Castro and F.-O. Speck. A Fredholm study for convolution operators with piecewise continuous symbols on a union of a finite and semi-infinite interval. Appl. Anal., 64, 171--187, 1997.

  •  D. Elliott, I. K. Lifanov, and G.S. Litvinchuk. The solution in a class of singular functions of Cauchy type bisingular integral equations. J. Integral Equations Appl., 9(3), 237--251, 1997.

  • A. B. Lebre, A. Moura Santos, and F.-O. Speck. Factorization of a class of matrices generated by Sommerfeld diffraction problems with oblique derivatives. Math. Methods Appl. Sci., 20, 1185--1198, 1997.

  • A. Moura Santos and F.-O. Speck. Sommerfeld diffraction problems with oblique derivatives. Math. Methods Appl. Sci., 20, 635--652, 1997.

  • S. Roch, P. A. Santos, and B. Silbermann. Finite section method in some algebras of multiplication and convolution operators and a flip. Z. Anal. Anwendungen, 16(3), 575--606, 1997.

  • 1996

  • V. Avizenshtat, Yu. Karlovich, and G. S Litvinchuk. The method of conformal gluing for the Haseman boundary value problem on an open contour. Complex Variables Theory Appl., 28, 313--346, 1996.

  • A. Baturev, V. G. Kravchenko, and G. S Litvinchuk. An approach to the approximate solution of singular integral equations with a non-Carleman shift. Dokl. Math., 53(2), 230--232, 1996.

  • A. Baturev, V. G. Kravchenko, and G. S Litvinchuk. Approximate methods for singular integral equations with a non-Carleman shift. J. Integral Equations Appl., 8(1), 1--17, 1996.

  • L. P. Castro and F.-O. Speck. On the inversion of higher order Wiener-Hopf operators. J. Integral Equations Appl., 8, 269--285, 1996.

  • P. A. Lopes and A. F. dos Santos. A new approach to the convolution operator on a finite interval. Integral Equations Operator Theory, 26: 460--475, 1996.

  • A. Moura Santos, F.-O. Speck, and F. S. Teixeira. Compatibility conditions in some diffraction problems. In A. H. Serbest and S. R. Cloude, editors, Direct and Inverse Electromagnetic Scattering, volume 361 of Pitman Res. Notes in Math., 25--38. Addison Wesley Longman, 1996.

  • F. Penzel and F. S. Teixeira. A Wiener-Hopf approach for the scattering by a disk. Integral Equations Operator Theory, 24, 230--247, 1996.

  • F. S. Teixeira and P. A. Santos. Sommerfeld type diffraction problems with approximate boundary conditions of arbitrary order. In A. H. Serbest and S. R. Cloude, editors, Direct and Inverse Electromagnetic Scattering, volume 361 of Pitman Res. Notes in Math., 3--14. Addison Wesley Longman, 1996.

 


    Publications To Appear (or Submitted)

  • M. A. Bastos, C. A. Fernandes and Yu. I. Karlovich, Spectral measures in C*-Algebras of singular integral operators with shifts. J. Funct. Anal., 45 p., to appear.

  • M. A. Bastos, P. A. Lopes, and A. Moura Santos, The two straight-line approach and periodic diffraction boundary-value problems. 23 p., submitted.

  • M.C. Câmara and M.C. Martins, Explicit almost-periodic factorization for a class of triangular matrix functions. 42 p., submitted.  

  • M.C. Câmara, A.F. dos Santos and M.C. Martins, A new approach to factorization of a class of almost-periodic triangular symbols and related Riemann-Hilbert problems. J. Funct. Anal., 39 p., to appear.  

  • C. Carvalho, A K-theory proof of the cobordism invariance of the index. K-Theory, 34 p., to appear.

  • L. Castro, R. Duduchava, and F.-O. Speck, Asymmetric factorizations of matrix functions on the real line. 22 p., submitted.

  • Cristina Diogo, Um método novo para um problema velho: o caso do binómio. Temas em Métodos Quantitativos 5 (TMQ5), Edições Sílabo, 30 p., to appear.

  • Yu. I. Karlovich and L. Pessoa, C*-Algebras of Bergman type operators with piecewise continuous coefficients 37 p., submitted.  

  • Yu. I. Karlovich and L. V. Pessoa, C*-algebras of Bergman type  operators with piecewise continuous coefficients on bounded domains. Proceedings of the Fifth ISAAC Congress (Catania, Italy, July 25-30, 2005),  to appear.

  • V.G. Kravchenko, A.B. Lebre and J.S. Rodríguez, The kernel of singular integral operators with a finite group of linear-fractional shifts. In: Operator Theory: Advances and Applications, Birkhäuser, Basel , 15 p., to appear.  

  • V.G. Kravchenko, A.B. Lebre and J.S. Rodríguez, Factorization problems for modified singular integral operators: the anticommutative case. 29 p., submitted.

  • S.T. Naique and A.F. dos Santos , Polynomial almost periodic solutions for a class of Riemann-Hilbert problems with triangular symbols. J. Funct. Anal., 43 p., to appear.  

  • P.A. Santos and B. Silbermann, An approximation theory for operators generated by shifts. Numerical Functional Analysis and Optimization, 26 p., to appear.