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Publications
Papers in international
scientific periodicals with referees/chapters of books
• M. A. Bastos, C.A. Fernandes, Yu. Karlovich “Spectral
measure in a C*algebra with shiths not acting freely. Fredholm Theory”,
J.Functional Analysis, Vol. 242,86-126, 2007.
• M. A. Bastos, P.A. Lopes, A.M. Santos “ The
two straight line approach and Periodic Boundary-Value problems”, on
line May
2007, J. Math. Analysis and Appl.
• M. A. Bastos, C. Fernandes, Yu. Karlovich
“C*Algebras of integral operators with piecewise slowly oscillating
coefficients and shifts acting freely”, Integral Equations and Operator
Theory,
Vol. 55, 16-67, 2006.
• M. A. Bastos, Yu. Karlovich, B.
Silbermann “Toeplitz operators with symbolsgenerated by slowly
oscillating and
semi-almost periodic matrix functions”, Proc. London Math. Soc., 89,
697-737,
2004.
• M. A. Bastos, A.
Moura Santos,
A.F. dos Santos,
“Wave diffraction by strip grating: the two straight line approach”
Math.
Nachr., 269-270, 39-58, 2004.
• 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.
Nachr., 269-270, 11-38, 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, Birkhäuser, Basel,
Vol. 147,151-174, 2004.
• M.A. Bastos, Yu. Karlovich, A. F. dos Santos, Oscillatory
Riemann-Hilbert problems and the corona theorem, J. Functional
Analysis. Vol.
197, Issue 2, 1 February, 347-397, 2003.
• M.A. Bastos, A.
Bravo, Yu.
Karlovich, Singular Integral Operators with piecewise almost periodic
coefficients and Carleman shift, in A. Böttcher et al., (editors),
Singular
Integral Operators, Factorization and Applications, Operator Theory:
Advances
and Applications. Birkhäuser,
Basel, Vol. 142, 29-57, 2003.
• M.A. Bastos, Yu. Karlovich, A.F. dos
Santos, The invertibility of convolution type operators on a union of
intervals
and the corona theorem, Integral Equations and Operator Theory, 42,
22-56,
2002.
• M.A. Bastos, Yu. Karlovich, A.F. dos
Santos, The Corona Theorem and the Canonical Factorization of
Triangular AP -
Matrix Functions - Effective Criteria and Explicit Formulas, J. Math.
Analysis
and Appl., Vol. 223, 523-550, 1998.
• M.A. Bastos, Yu. Karlovich, A.F. dos Santos, The Corona Theorem
and the Existence of Canonical Factorization of Triangular AP - Matrix
Functions, J. Math. Analysis and Appl., Vol. 223, 494-522, 1998.
• M.A. Bastos, Yu. Karlovich, I. M. Spitkovsky, P. M. Tishin, On a
new algorithm for almost periodic factorization, Operator Theory -
Advances and
Applications, Vol. 103, 53-74, 1998.
• M.A.
Bastos, A. F. dos Santos,
R. Duduchava, Finite interval convolution operators on the Bessel
potential
spaces Hs,p Math. Nachr., Vol. 173, 49-63, 1995.
• M.C.
Câmara, A. F. dos Santos, M.A. Bastos, Generalized-Factorization
for
Daniele-Khrapkov Matrix Functions-Explicit Formulas, J. Math. Analysis
and
Appl., Vol. 190, nº 2, 295-328, 1995.
• M.C.
Câmara, A. F. dos Santos, M.A. Bastos, Generalized-Factorization
for
Daniele-Khrapkov Matrix Functions-Partial Indices, J. Math. Analysis
and Appl.,
Vol. 190, nº1, 142-164, 1995.
• M.A.
Bastos, A. F. dos Santos, Convolution Operators on a Finite Interval
with
Periodic Kernel -Fredholm Property and Invertibility, Integral
Equations and
Operator Theory, Vol. 16, 186-223, 1993.
• M.A.
Bastos, A. F. dos Santos, Generalized Factorization for a Class of 2 x
2 Matrix
Functions with Rationally Independent Entries, Complex Variables, Vol.
22,
153-174, 1993.
• M.A.
Bastos, A. F. dos Santos, Wiener-Hopf Operators with Oscillating
Symbols and
Convolution Operators on a Union of Intervals, Integral Equations and
Operator
Theory, Vol. 15, 920-941, 1992.
• M.A.
Bastos, A. F. dos Santos, Generalized Factorization for a Class of 2 x
2 Matrix
Functions with Non-Rational Entries, Applicable Analysis, Vol. 46,
101-127,
1992.
• M.A.
Bastos, A. F. dos Santos, Convolution Equations of the First Kind on a
Finite
Interval in Sobolev Spaces, Integral Equations and Operator Theory,
Vol. 13,
638-659, 1990.
• M.A.
Bastos, A. F. dos Santos, A. B. Lebre, On the Fredholm Theory of
Wiener-Hopf
Equations and the Coupling Method, Integral Equations and Operator
Theory, Vol.
11, 297-309, 1988.
Books
• Operator
Algebras, Operator Theory and Applications
(editors: M.A. Bastos. I. Gohberg, A. Lebre and
F. Speck), Operator Theory: Advances and Applications, Birkhäuser,
Basel,
460pp, a publicar em 2008.
Theses
• Bastos, M. A.
"Factorização Generalizada
e Operadores de Convolução numa União de
Intervalos", I.S.T. 1992, Ph. D.
Thesis.
• Bastos, M. A. "Sobre a
Equação de
Convolução de Intervalo Limitado", I.S.T. 1987, Msc. Thesis.
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