Books
I. Gohberg,
N. Manojlovic and A. F. dos Santos (Editors). Factorization and Integrable
Systems. Volume 141 of Operator Theory: Advances and Applications.
Birkhauser, 2003.
S. Samko,
A.Lebre and A.F. dos Santos (Editors). Factorization, Singular Operators
and Related Problems. Proceedings of the Conference in Honour of Professor
Gueirgii Litvinchuk. Kluwer, 2003
S. G.
Samko. Hypersingular Integrals and Their Applications. Series: Analytical
Methods and Special Functions, Volume 5, Taylor & Francis, 2002.
N. K.
Karapetiants and S. G. Samko. Equations with an Involutive Operators
and Their Applications. Birkhäuser, Boston, 2001.
Research
Papers
2003
A. Conceição,
V.G. Kravchenko and F.S. Teixeira. Factorization of matrix functions and
the resolvents of certain operators. In Operator Theory:Advances and
Applications, Vol.142, pp. 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. In Factorization,
Singular Operators and Related Problems, pp. 101-110. Kluwer Academic
Publishers, 2003.
V. Kokilashvili,
A. Meskhi and S. Samko. On the inversion and characterization of the
Riesz potentials in the weighted Lebesgue spaces, Memoirs on Diff.
Equat. and Math. Physics, 29, pp. 99 - 106, Razmadze Math. Inst., Tbilisi,
2003.
V. Kokilashvili
and S.Samko. Singular Integrals in Weighted Lebesgue Spaces with
Variable Exponent, Georgian Math. J., 10 (1), pp. 145-156.
V. Kokilashvili
and S.Samko. Singular Integral Equations in the Lebesgue Spaces with
Variable Exponent, Proc. of Razmadze Math.Institute, 131, pp. 61-78,
2003.
V. Kokilashvili
and S. Samko. Singular integrals and potentials in some Banach
spaces with variable exponent, J. of Funct. Spaces and Appl.,
1 (1), pp. 45-59, 2003.
V. Kokilashvili
and S. Samko. On Sobolev Theorem for Riesz-Type Potentials in Lebesgue
Spaces with Variable Exponents, Zeit. Anal. Anwend., 22 (4), 2003,
899-910,.
V. G.
Kravchenko, A. B. Lebre and J. Rodriguez. Factorization of singular integral
operators with shift via factorization of matrix functions. In Operator
Theory: Advances and Applications, Vol. 142, pp.189-211. Birkhäuser,
2003
P. Kulish
and N. Manojlovic. Trigonometric $osp(1|2)$ Gaudin model. J. Math. Phys.,
44: 676-700, 2003.
N.Samko.
Criterion of Fredholmness of singular operators with piece-wise continuous
coefficients in the generalized Holder spaces with weight. In Operator
Theory: Advances and Applications, Vol. 142, 345-356. Birkhäuser,
Basel, 2003.
S. Samko.
On inversion of Fractional Spherical Potentials by Spherical Hypersingular
Operators. In Operator Theory: Advances and Applications, volume
142, pages 357-368. Birkhauser, 2003.
S. Samko.
Fractional Weyl-Riesz Integro-differentiation of periodic functions of
two variables via the periodization of the Riesz kernel, Applicable
Analysis, 82(3), pp. 269-299, 2003.
S. Samko
and R. P. Cardoso. Integral equations of the first kind of Sonine type,
Intern.
J. Math and Math. Sci, 2003, 57, 3609-3632.
S. Samko
and R. P. Cardoso. Sonine integral equations of the first kind of $L_p(0,b)$.
Fract. Calc. and Apllied Anal.,2003, vol. 6, nº 3, 235-258.
S.Samko.
Hardy inequality in the generalized Lebesgue spaces. Fract. Calc. and Apllied
Anal.,2003, vol. 6, nº 4.
S.Samko.
Hardy-Littlewood-Stein-Weiss inequality in the Lebesgue spaces with variable
exponent. Fract. Calc. and Apllied Anal.,2003, vol. 6, nº 4.
2002
V. Kokilashvili
and S. Samko. Maximal and fractional operators in weithted L p(x) -spaces.
Proc.
A. Razmadze Math. Inst., 129: 145-149, 2002.
V. Kokilashvili
and S. Samko. Singular integrals and potentials in some Banach spaces with
variable exponent. Proc. A. Razmadze Math. Inst., 129: 150-155,
2002.
N. Manojlovic
and H. Samtleben. Schlesinger transformations and quantum R-matrices. Comm.
Math. Phys., 230(3): 517-537, 2002.
N. Manojlovic
and J.C. Zambrini. Another perspective on the relation between classical
and quantum ntegrability. In Proceedings of the Conference `Geometry, integrability
and quantization', Varna, 2001, Coral Press Sci. Publ., Sofia, pages
442-453, 2002.
V. Nogin
and S. Samko. Inversion and characterization of Riesz potentials in weighted
spaces via approximative inverse operators. Proc. A. Razmadze Math.
Inst., 129: 99-106, 2002.
2001
M. T.
Alzugaray. On Singularities of Generating Functions of Pólya Frequency
Sequences of Finite Order, Positivity, 5: 13-23, 2001.
M. T.
Alzugaray. On the proximate order of growth of generating functions of
Polya frequency sequences. Computational Methods and Function Theory
Journal,1(2):433-455, 2001 (published in 2002).
M.
C. Câmara, A. F. dos Santos, and N. Manojlovic. Generalized factorization
for $N\times N$ Daniele-Khrapkov matrix functions. Math. Methods Appl.
Sci., 24:993--1020, 2001.
N.
K. Karapetiants and S. G. Samko. Equations with involutive operators.
Birkhäuser, 2001.
N.
K. Karapetiants and S. G. Samko. On multidimensional integral equations
of convolution type with shift. Integral Equations Operator Theory,
39:305--328, 2001.
N.
K. Karapetiants and S. G. Samko. Singular integral equations on the real
line with homogeneous kernels and the inversion shift. J. Nat. Geom.,
19:1--26, 2001.
N.
K. Karapetiants, A. Kilbas, M. Saigo, and S. G. Samko. Upper and lower
bounds for solutions of nonlinear Volterra convolution equations with power
nonlinearity. J. Integral Equations Appl., 12(4):421--448, 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. P.
Kulish and N. Manojlovic. Bethe vectors of the $osp(1|2)$ Gaudin model.
Lett.
Math. Phys., 55:77--95, 2001.
P.
P. Kulish and N. Manojlovic. Creation operators and Bethe vectors of the
$osp(1|2)$ Gaudin model. J. Math. Phys., 42:4757--4778, 2001.
N. Manojlovic
and P. P. Kulish. Asymptotic behaviour of cylindrical waves interaction
with spinning strings. Class. Quant. Grav, 18:2065--2086, 2001.
K. Miller
and S. G. Samko. Completely monotonic functions.
Integral Transform.
Spec. Funct., 12(4):389--402, 2001.
S. G. Samko.
On some index relations for Bessel functions. Integral Transform. Spec.
Funct., 11(4):397--402, 2001.
S. G.
Samko and M. Yakshiboev. On a class of identity approximation operators
of a non-convolution type. Fract. Calc. Appl. Anal., 4:523--530,
2001.
2000
A.
Abramyan, V. A. Nogin, and S. G. Samko. Fractional powers of the operator
$-|x|^2\Delta$ in $L_p$ spaces. Proc. Razmadze Math. Inst., 124:1--22,
2000.
N.
K. Karapetiants and S. G. Samko. On Fredholm properties of a class of Hankel
operators.
Math. Nachr., 217:75--103, 2000.
N.
K. Karapetiants and S. G. Samko. Singular integral equations on the real
line with a fractional-linear Carleman shift. Proc. Razmadze Math. Inst.,
124:73--106, 2000.
D.
Korotin, N. Manojlovic, and H. Samtleben. Schlesinger transformations for
elliptic isomonodromic deformations. J. Math. Phys., 41(5):3125--3141,
2000.
N. Manojlovic
and A. Mikovic. Belinskii-Zakharov formulation for Painlevé III
equation. J. Math. Phys., 41(7):4777--4782, 2000.
N. Manojlovic
and A. Mikovic. Free-field realization of d-dimensional cylindrical gravitational
waves. Class. Quant. Grav, 17:3807--3820, 2000.
N. Manojlovic
and A. Mikovic. Painlevé III equation and Bianchi VII$_0$ model.
Adv.
Theor. Math. Phys., 4(1):1--23, 2000.
S. G. Samko.
Approximative approach to fractional powers of operators. In Proc. of
the 2nd ISAAC Congress, volume 2 (Ch. 131), pages 1163--1170. Kluwer
Academic Publishers, 2000.
S. G.
Samko. Denseness of $C_0^\infty(R^n)$ in the generalized Sobolev spaces
$ W^m,p(x)(R^n) $. In Joji Kajiwara Robert P. Gilbert and Yongzhi S. Xu,
editors, Direct and Inverse Problems of Mathematical Physics, volume
6 of Intern. Soc. For Anal., Appl. and Comp., pages 333--342. Kluwer
Acad. Publ., 2000.
S. G.
Samko. Fractional powers of operators via hypersingular operators. volume
42 of Progress in Nonlinear Diff. Eq. and Their Applic., pages 259--272.
Birkhäuser, 2000.
S.
G. Samko and B. G. Vakulov. On equivalent norms in fractional order function
spaces of continuous functions on the unit sphere. Fract. Calc. Appl.
Anal., 3(4):401--433, 2000.
1999
N.
K. Karapetiants and S. G. Samko. Multi-dimensional integral operators with
homogeneous kernels. Fract. Calc. Appl. Anal., 2(1):67--96, 1999.
N.
K. Karapetiants and S. G. Samko. On a certain approach to the investigation
of equations with involutive operators. Int. J. Math. Stat. Sci.,
8(2):135--162, 1999.
A.
Kilbas and S. G. Samko. Anatolii Platonovich Prudnikov: A note in memoriam.
Fract.
Calc. Appl. Anal., 2(1):107--108, 1999.
V.
A. Nogin and S. G. Samko. Method of approximating inverse operators and
its applications to inversion of potential type integral operators. Integral
Transform. Spec. Funct., 8(1-2):89--104, 1999.
V.A.
Nogin and S. G. Samko. Some applications of potentials and approximative
inverse operators in multidimensional fractional calculus. Fract. Calc.
Appl. Anal., 2(2):205--228, 1999.
S. G.
Samko. Denseness of $C_0^\infty(R^n)$ in the generalized Sobolev spaces
$ W^m,p(x)(R^n) $. Doklady Akad. Nauk, 369(4):451--454, 1999.
S. G.
Samko. On local summability of Riesz potentials in the case Re$\,\alpha
>0$. Anal. Math., 25(3):205--210, 1999.
S. G.
Samko. Some remarks to the author's paper:``A new approach to the inversion
of the Riesz potential operator". Fract. Calc. Appl. Anal., 2(1):63--66,
1999.
N.
G. Samko and S. G. Samko. On approximative definition of fractional differentiation.
Fract.
Calc. Appl. Anal., 2(3):329--342, 1999.
1998
N. Manojlovic
and A. Mikovic. Remarks on the reduced phase space of (2+1)-dimensional
gravity on a torus in the Ashtekar formulation. Class. Quant. Grav,
15:3031--3039, 1998.
E.
Meister, F. Penzel, F.-O. Speck, and Teixeira F. S. 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, volume 102 of Operator Theory: Advances and Applications,
pages 169--178. Birkhäuser, 1998.
S. G.
Samko. Convolution and potential type operators in the space $L^p(x)$.
Integral
Transform. Spec. Funct., 7(3-4):261--284, 1998.
S. G.
Samko. Convolution type operators in $L^p(x)$. Integral Transform. Spec.
Funct., 7(1-2):123--144, 1998.
S. G.
Samko. Differentiation and integration of variable order and the spaces
$L^p(x)$. In Proceedings of Intern. Conf. "Operator Theory for Complex
and Hypercomplex Analysis", Mexico City, CINVESTAV, 1994, volume 212
of Contemporary Mathematics, pages 203--219. Amer. Math. Soc., Providence,
RI, 1998.
S. G.
Samko. A new approach to the inversion of the Riesz potential operator.
Fract.
Calc. Appl. Anal., 1(3):225--245, 1998.
1997
K.
S. Miller and S. G. Samko. A note on the complete montonicity of the generalized
Mittag-Leffler function. Real Anal. Exchange, 23 (2):753--755, 1997/8.
R. Gorenflo
and S. G. Samko. On the dependence of asymptotics of s-numbers of fractional
integration operators on weight functions. Integral Transform. Spec.
Funct., 5(3-4):191--212, 1997.
1996
A.
Abramyan, V. A. Nogin, and S. G. Samko. Fractional powers of the operator
$-|x|^2\Delta$ in $L_p$ spaces. Differential Equations, 32(2):281--283,
1996. Translated from Differ. Uravn., 32(2):275-276, 1996.
A.
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.
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.
E.
E. Urnysheva and S. G. Samko. Spaces $L_p_2^rad$ ($L_p_1^ang$) with radial-spherical
mixed norm.
Russian Math., 40(4):48--56,
1996. Translated from Izv. Vyssh. Uchebn. Zaved. Mat., 4(407):50-58, 1996.
Publications
To Appear (or Submitted)
P. Kulish
and N. Manojlovic and H. Samtleben (Editors), "Infinite Dimensional Algebras
and Quantum Integrable Systems, to appear in Progress in Mathematics, Birkhauser
Verlag.
M. T.
Alzugaray. Domains of homomorphy of generating functions of Polya frequency
sequences of finite order. Positivity. To appear.
V. Kokilashvili
and S.Samko. Maximal and Fractional Operators in Weighted $L^{p(x)}$-
Spaces, Revista Matematica Iberoamericana, (2004, vol 20,
No 2). To appear.
N. Samko.
Singular Integral Operators with Carleman Shift and Discontinuous Coefficients
on the spaces $H^\omega_0(\Gamma, \rho)$, Integr. Eq. And Oper.
Theory, 2004. To appear
S.Samko.
Best constant in the weighted Hardy inequality; the spatial and spherical
versions. J. Concrete and Applic. Anal. To appear.
PhD Theses
J. S.
Rodriguez. Operadores Integrais Singulares com Deslocamento Linear Fraccionário
de Carleman e Conjugação. PhD thesis, Universidade do
Algarve, 2002. Supervisor: V.G. Kravchenko.
M. T.
Alzugaray, Singularities of Generating Functions of Polya Frequency
Sequences. PhD thesis, Universidade do Algarve, 2002. Supervisor: Professor
I.V. Ostrovskii.
Master Theses
A. Conceição.
Factorização de funções matriciais e o resolvente
de certos operadores. Master's thesis, Instituto Superior Técnico,
1999. Supervisors: V. G. Kravchenko and F. S. Teixeira.
Scientific
Events
(organized or co-organized by members
of the centre)
Infinite
Dimensional Algebras and Quantum Integrable Systems, Faro, Portugal,
July 21-25, 2003.
Nenad Manojlovic (co-organizer).
International
Conference on Factorization, Singular Operators and Related Topics, FSORP-Madeira
2002, in honour of Georgii Litvinchuk (member of the group) to
celebrate his 70th Birthday;
University of Madeira, January 28
- February 1, 2002.
S. Samko (chairman of the organizing
committee), V. Kravchenko, A.F. dos Santos, F.S. Teixeira, A.B. Lebre,
A.M. Santos (co-organizers) Proceedings published by Kluwer Academic Publishers.
IWOTA-Portugal
2000, University of Algarve, September 12-15, 2000.
A.F. dos Santos (chairman of the organizing
committee), F.-O. Speck, A.B. Lebre, R. Picken, V. Kravchenko and N. Manojlovic
(co-organizers). Proceedings in the series "Operator Theory: Advances and
Applications", vol. 142, published by Birkhäuser.
Summer
School on Factorization and Integrable Systems, University of Algarve,
September 6-9, 2000.
A.F. dos Santos and N. Manojlovic
(co-organizers). Lectures with the title "Factorization and Integrable
Systems" in the series "Operator Theory: Advances and Applications", vol.
141, published by Birkhäuser.
Long Term
Visitors
-
Petr
P. Kulish (St. Petersburg Department of Steklov Mathematical
Institute, Russian Academy of Sciences) from April 2000 to July 2002
-
Vakhtang
Kokilashvili
(A. Razmadze Mathematical Institute, Academy of Sciences, Tbilisi, Georgia)
from February and March 2002
-
Aleksandar
Mikovic
(University of Belgrade) from April 1999 to March 2000
Research
Projects
Integrable
Systems and Factorization, Universidade do Algarve.
Funded by FCT/FEDER/POCTI
Coordinator: Nenad Manojlovic -
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