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## Karlovich, Yuri I.

Compute Distance To:
 Author ID: karlovich.yuri-i Published as: Karlovich, Yu. I.; Karlovich, Yuri I.; Karlovich, Yuri; Karlovich, Y. I.; Karlovic, Ju. I.; Karlovich, Yu.; Karlovich, Yurij I.; Karlovich, Yu I. Homepage: https://www.cinc.uaem.mx/init/investigadores/detalles?id=18
 Documents Indexed: 171 Publications since 1974, including 4 Books Reviewing Activity: 128 Reviews
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#### Co-Authors

 28 single-authored 27 Spitkovsky, Ilya Matvey 21 Bastos, Maria Amélia 19 Böttcher, Albrecht 19 Karlovich, Alexeĭ Yur’evich 14 Kravchenko, Viktor G. 13 Fernandes, Claudio A. 13 Lebre, Amarino Brites 8 Lytvynchuk, Georgiĭ Semenovych 8 Rabinovich, Vladimir Samuilovich 6 Loreto Hernández, Iván 6 Silbermann, Bernd 5 Bravo, António 4 Câmara, Maria Cristina 4 dos Santos, António Ferreira 4 Espinoza-Loyola, Enrique 4 Mardiev, R. 4 Pessoa, Luís V. 3 Burlak, Gennadiy 3 Choque Rivero, Abdon Eddy 3 Mozel’, V. A. 3 Tishin, P. M. 2 Fernández-Torres, Gustavo 2 Flores-Zapotitla, Luis Eduardo 2 Loreto Hernández, J. 2 Ramírez de Arellano, Enrique 1 Aĭzenshtat, A. V. 1 Aĭzenshtat, Anna Ya. 1 Asekritova, Irina U. 1 Aslanov, V. D. 1 Ball, Joseph Anthony 1 Bashkarev, P. G. 1 Bishop, Christopher James 1 Campos de Carvalho, Catarina 1 de la Cruz-Rodriguez, Isaac 1 Diogo, Cristina 1 Gohberg, Israel 1 Hernández, Juan Loreto 1 Komech, Alexander Ilich 1 Kopylova, Elena A. 1 Kruglyak, Natan Ya. 1 Krupnik, Naum Yakovlevich 1 Latushkin, Yu. D. 1 Nechaev, A. P. 1 Rodino, Luigi 1 Rodman, Leiba X. 1 Shapiro, Michael V. 1 Sklyar, Grigory Mikhailovitch 1 Sklyar, K. V. 1 Tursunkulov, B. 1 Vasilevski, Nikolai Leonidovich 1 Vilchis-Torres, O. 1 Walker, Ronald A. 1 Yurko, Vjacheslav Anatoljevich 1 Zhevandrov, Peter N.
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#### Fields

 159 Operator theory (47-XX) 81 Integral equations (45-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 31 Functional analysis (46-XX) 15 Functions of a complex variable (30-XX) 6 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

132 Publications have been cited 776 times in 263 Documents Cited by Year
Carleson curves, Muckenhoupt weights, and Toeplitz operators. Zbl 0889.47001
Böttcher, Albrecht; Karlovich, Yuri I.
1997
Convolution operators and factorization of almost periodic matrix functions. Zbl 1011.47001
Böttcher, Albrecht; Karlovich, Yu I.; Spitkovsky, I. M.
2002
Factorization of almost periodic matrix-valued functions and the Noether theory for certain classes of equations of convolution type. Zbl 0691.45007
Karlovich, Yu. I.; Spitkovskij, I. M.
1990
The method of limit operators for one-dimensional singular integrals with slowly oscillating data. Zbl 0993.47026
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
2000
Banach algebras generated by $$N$$ idempotents and applications. Zbl 0885.46041
Böttcher, A.; Gohberg, I.; Karlovich, Yu.; Krupnik, N.; Roch, S.; Silbermann, B.; Spitkovsky, I.
1996
$$C^*$$-algebras of Bergman type operators with piecewise continuous coefficients. Zbl 1127.47055
Karlovich, Yu. I.; Pessoa, Luís V.
2007
The corona theorem and the canonical factorization of triangular AP matrix functions – Effective criteria and explicit formulas. Zbl 0913.47015
Bastos, M. A.; Karlovich, Yu. I.; dos Santos, A. F.; Tishin, P. M.
1998
(Semi)-Fredholmness of convolution operators on the spaces of Bessel potentials. Zbl 0809.45004
Karlovich, Yuri; Spitkovsky, Ilya
1994
Poly-Bergman projections and orthogonal decompositions of $$L^2$$-spaces over bounded domains. Zbl 1160.46019
Karlovich, Yuri I.; Pessoa, Luís V.
2008
$$C^*$$-algebras of integral operators with piecewise slowly oscillating coefficients and shifts acting freely. Zbl 1124.47010
Bastos, M. A.; Fernandes, C. A.; Karlovich, Yu. I.
2006
An algebra of pseudodifferential operators with slowly oscillating symbols. Zbl 1100.47059
Karlovich, Yu. I.
2006
On the Haseman problem. Zbl 0816.47034
Karlovich, Yu. I.
1993
Convolution type operators with symbols generated by slowly oscillating and piecewise continuous matrix functions. Zbl 1060.47049
Bastos, Maria Amélia; Bravo, António; Karlovich, Yuri I.
2004
Spectral measures in $$C^{*}$$-algebras of singular integral operators with shifts. Zbl 1108.47012
Bastos, M. A.; Fernandes, C. A.; Karlovich, Y. I.
2007
On convolution type operators with piecewise slowly oscillating data. Zbl 1297.47051
Karlovich, Yuri I.; Hernández, Iván Loreto
2013
Algebras of convolution type operators with piecewise slowly oscillating data. I: Local and structural study. Zbl 1275.47103
Karlovich, Yuri I.; Loreto Hernández, Iván
2012
Algebras generated by the Bergman and anti-Bergman projections and by multiplications by piecewise continuous functions. Zbl 1109.47012
Karlovich, Yu. I.; Pessoa, Luís
2005
On a new algorithm for almost periodic factorization. Zbl 0903.47013
Bastos, M. A.; Karlovich, Yu. I.; Spitkovsky, I. M.; Tishin, P. M.
1998
Nonlocal singular integral operators with slowly oscillating data. Zbl 1167.47039
Karlovich, Yuri I.
2008
Oscillatory Riemann-Hilbert problems and the corona theorem. Zbl 1047.47014
Bastos, M. A.; Karlovich, Yu. I.; dos Santos, A. F.
2003
A local-trajectory method and isomorphism theorems for nonlocal $$C^*$$-algebras. Zbl 1120.46052
Karlovich, Yu. I.
2006
Factorization of almost periodic matrix functions. Zbl 0836.42003
Karlovich, Yuri; Spitkovsky, Ilya
1995
Mellin pseudodifferential operators with slowly varying symbols and singular integrals on Carleson curves with Muckenhoupt weights. Zbl 0913.47046
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
1998
Necessary conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data. Zbl 1239.47040
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2011
The local-trajectory method of studying invertibility in $$C^*$$-algebras of operators with discrete groups of shifts. Zbl 0695.47029
Karlovich, Yu. I.
1988
Wiener-Hopf operators with slowly oscillating matrix symbols on weighted Lebesgue spaces. Zbl 1197.47043
Karlovich, Yu. I.; Hernández, J. Loreto
2009
Algebras of convolution type operators with piecewise slowly oscillating data. II: Local spectra and Fredholmness. Zbl 1275.47104
Karlovich, Yuri I.; Loreto Hernández, Iván
2013
Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights. Zbl 0918.47025
Böttcher, Albrecht; Karlovich, Yuri I.
1999
Sufficient conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data. Zbl 1236.47010
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2011
Pseudodifferential operators with compound slowly oscillating symbols. Zbl 1144.47038
Karlovich, Yuri I.
2006
Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic matrix functions. Zbl 1081.47032
Bastos, M. A.; Karlovich, Yu. I.; Silbermann, B.
2004
Toeplitz and singular integral operators on Carleson curves with logarithmic whirl points. Zbl 0823.47027
Böttcher, Albrecht; Karlovich, Yuri I.
1995
Invertibility of functional operators with slowly oscillating non-Carleman shifts. Zbl 1027.47025
Karlovich, Alexei; Karlovich, Yuri; Lebre, Amarino
2003
The $$C^{*}$$-algebra of singular integral operators with semi-almost periodic coefficients. Zbl 1048.47027
Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I. M.
2003
On the Noetherian property of certain singular integral operators with matrix coefficients of class SAP and systems of convolution equations on a finite interval connected with them. Zbl 0528.42008
Karlovich, Yu. I.; Spitkovskij, I. M.
1983
An algebra of singular integral operators with piecewise-continuous coefficients and a piecewise-smooth shift on a composite contour. Zbl 0565.47009
Karlovich, Yu. I.; Kravchenko, V. G.
1984
Wiener-Hopf operators with semi-almost periodic matrix symbols on weighted Lebesgue spaces. Zbl 1201.47031
Karlovich, Yu. I.; Hernández, J. Loreto
2008
Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data. Zbl 1063.47039
Bastos, Maria Amélia; Bravo, António; Karlovich, Yuri
2004
Fredholmness of singular integral operators with discrete subexponential groups of shifts on Lebesgue spaces. Zbl 1073.47049
Karlovich, Yuri; Silbermann, Bernd
2004
Almost periodic factorization: An analogue of Chebotarev’s algorithm. Zbl 0843.47011
Karlovich, Yuri; Spitkovsky, Ilya
1995
Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators. Zbl 1004.45010
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
2001
$$C^*$$-algebras of singular integral operators with shifts having the same nonempty set of fixed points. Zbl 1158.47066
Bastos, M. Amélia; Fernandes, Claudio A.; Karlovich, Yuri I.
2008
Singular integral equations with non-Carleman translations on an open contour. Zbl 0517.45003
Karlovich, Yu. I.; Kravchenko, V. G.
1982
Noether theory of singular integral operators with a shift. Zbl 0522.45012
Karlovich, Yu. I.; Kravchenko, V. G.; Litvinchuk, G. S.
1983
C$${}^*$$-algebras of operators of convolution type with discrete groups of shifts and oscillating coefficients. Zbl 0705.47043
Karlovich, Yu. I.
1989
An algebra of shift-invariant singular integral operators with slowly oscillating data and its application to operators with a Carleman shift. Zbl 1179.45003
Karlovich, Yu. I.
2009
Almost periodic factorization of some triangular matrix functions. Zbl 1177.47025
Câmara, M. C.; Karlovich, Yu. I.; Spitkovsky, I. M.
2009
The corona theorem and the existence of canonical factorization of triangular AP-matrix functions. Zbl 0913.47014
Bastos, M. A.; Karlovich, Yu. I.; dos Santos, A. F.; Tishin, P. M.
1998
Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight. Zbl 1044.47510
Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I. M.
1994
On the theory of singular integral operators with a finite group of shifts. Zbl 0351.47034
Bashkarev, P. G.; Karlovich, Yu. I.; Nechaev, A. P.
1974
$$C^\ast$$-algebras of Bergman type operators with piecewise constant coefficients over sectors. Zbl 1361.47022
Espinoza-Loyola, E.; Karlovich, Yu. I.; Vilchis-Torres, O.
2015
Fredholmness and index of simplest singular integral operators with two slowly oscillating shifts. Zbl 1312.45014
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2014
A $$C^\ast$$-algebra of singular integral operators with shifts admitting distinct fixed points. Zbl 1316.47063
Bastos, M. A.; Fernandes, C. A.; Karlovich, Yu. I.
2014
Noncompactness of Fourier convolution operators on Banach function spaces. Zbl 07126072
Fernandes, Cláudio A.; Karlovich, Alexei Y.; Karlovich, Yuri I.
2019
Algebras of pseudo-differential operators with discontinuous symbols. Zbl 1132.47059
Karlovich, Yu. I.
2007
Factorizations, Riemann-Hilbert problems and the corona theorem. Zbl 1262.47029
Câmara, M. C.; Diogo, C.; Karlovich, Yu. I.; Spitkovsky, I. M.
2012
On the convergence of the amplitude of the diffracted nonstationary wave in scattering by wedges. Zbl 1259.78016
Choque Rivero, A. E.; Karlovich, Yu. I.; Merzon, A. E.; Zhevandrov, P. N.
2012
$$C^*$$-algebras of Bergman type operators with piecewice continuous coefficients on bounded domains. Zbl 1196.47049
Karlovich, Yu. I.; Pessoa, L. V.
2009
Singular integral operators with fixed singularities on weighted Lebesgue spaces. Zbl 1076.47036
Karlovich, Yu. I.; Ramírez de Arellano, E.
2004
A nonlocal $$C^*$$-algebra of singular integral operators with shifts having periodic points. Zbl 1267.47015
Bastos, M. A.; Fernandes, C. A.; Karlovich, Yu. I.
2011
Singular integral equations with PQC coefficients and freely transformed argument. Zbl 0832.45001
Böttcher, A.; Karlovich, Yu. I.; Silbermann, B.
1994
The continuous invertibility of functional operators in Banach spaces. Zbl 0843.47020
Karlovich, Yu. I.
1995
Local spectra and index of singular integral operators with piecewise continuous coefficients on composed curves. Zbl 0982.47024
Bishop, C. J.; Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I.
1999
Almost periodic factorization of block triangular matrix functions revisited. Zbl 0951.42005
Karlovich, Yuri I.; Spitkovsky, Ilya M.; Walker, Ronald A.
1999
One-sided invertibility of binomial functional operators with a shift on rearrangement-invariant spaces. Zbl 1071.39027
Karlovich, Alexei Yu.; Karlovich, Yuri I.
2002
On a weighted singular integral operator with shifts and slowly oscillating data. Zbl 1352.45005
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2016
One-sided invertibility criteria for binomial functional operators with shift and slowly oscillating data. Zbl 1358.47023
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2016
Toeplitz and singular integral operators on general Carleson Jordan curves. Zbl 0887.47027
Böttcher, A.; Karlovich, Yu. I.
1996
On the theory of systems of convolution type equations with semi-almost- periodic symbols in spaces of Bessel potentials. Zbl 0625.45002
Karlovich, Yu. I.; Spitkovskij, I. M.
1986
Algebra of convolution type operators with continuous data on Banach function spaces. Zbl 07155486
Fernandes, Cláudio A.; Karlovich, Alexei Yu.; Karlovich, Yuri I.
2019
Two-sided and one-sided invertibility of Wiener-type functional operators with a shift and slowly oscillating data. Zbl 1381.47076
Fernández-Torres, Gustavo; Karlovich, Yuri
2017
Pseudodifferential operators with compound non-regular symbols. Zbl 1131.47047
Karlovich, Yu. I.
2007
$$C^*$$-algebras of Bergman-type operators with piecewise continuous coefficients and shifts. Zbl 1266.47042
Karlovich, Yu. I.; Mozel, V. A.
2012
A shift-invariant algebra of singular integral operators with oscillating coefficients. Zbl 0998.47032
Karlovich, Yuri I.; Ramírez de Arellano, Enrique
2001
Toeplitz operators with semi-almost-periodic matrix symbols on Hardy spaces. Zbl 0993.47021
Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I.
2001
Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions. Zbl 0933.42003
Ball, J. A.; Karlovich, Yu. I.; Rodman, L.; Spitkovsky, I. M.
1998
Emergence, persistence, and disappearance of logarithmic spirals in the spectra of singular integral operators. Zbl 0865.45003
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
1996
Submultiplicative functions and spectral theory of Toeplitz operators. Zbl 0867.42009
Böttcher, Albrecht; Karlovich, Yuri I.
1996
$$C^*$$-algebras of Bergman type operators with continuous coefficients on polygonal domains. Zbl 1347.47050
Karlovich, Yuri I.
2015
Necessary Fredholm conditions for weighted singular integral operators with shifts and slowly oscillating data. Zbl 1376.45016
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2017
Semi-Fredholm properties of certain singular integral operators. Zbl 0882.47003
Karlovich, Yuri I.; Spitkovsky, Ilya M.
1996
On the invertibility of functional operators with non-Carleman shift in Hölder spaces. Zbl 0567.47022
Karlovich, Yu. I.
1984
Algebras of convolution-type operators with piecewise slowly oscillating data on weighted Lebesgue spaces. Zbl 06804003
Karlovich, Yuri I.
2017
Factorization of almost periodic matrix-functions and the Noether theory of some classes of equations of convolution type. Zbl 0681.45003
Karlovich, Yu. I.; Spitkovskij, I. M.
1989
Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001
Karlovich, Yuri I. (ed.); Rodino, Luigi (ed.); Silbermann, Bernd (ed.); Spitkovsky, Ilya M. (ed.)
2013
Constructive almost periodic factorization of some triangular matrix functions. Zbl 1206.42006
Câmara, M. C.; Karlovich, Yu. I.; Spitkovsky, I. M.
2010
Almost periodic polynomial factorization of some triangular matrix functions. Zbl 1214.47017
Karlovich, Yuri I.; Spitkovsky, Ilya M.
2010
On bang-bang controls for some nonlinear systems. Zbl 1258.93048
Karlovich, Yu. I.; Sklyar, K. V.; Sklyar, G. M.
2013
A $$C^*$$-algebra of functional operators with shifts having a nonempty set of periodic points. Zbl 1207.47082
Bastos, M. A.; Fernandes, C. A.; Karlovich, Y. I.
2009
Algebra of singular integral operators with a Carleman backward slowly oscillating shift. Zbl 0994.47046
Karlovich, Yu. I.; Lebre, A. B.
2001
Some classes of semi-Noetherian operators. Zbl 0711.47009
Karlovich, Yu. I.; Litvinchuk, G. S.
1990
On algebras of singular integral operators with discrete groups of shifts in $$L_ p$$-spaces. Zbl 0732.47044
Karlovich, Yu. I.
1989
One-sided invertibility of functional operators in reflexive Orlicz spaces. Zbl 0758.47031
Aslanov, V. D.; Karlovich, Yu. I.
1989
On the defect numbers of the Kveselava-Vekua operator with discontinuous derivative of the shift. Zbl 0770.45002
Aĭzenshtat, A. Ya.; Karlovich, Yu. I.; Litvinchuk, G. S.
1991
Kernels of asymmetric Toeplitz operators and applications to almost periodic factorization. Zbl 1321.47043
Câmara, M. C.; Karlovich, Yu. I.; Spitkovsky, I. M.
2013
$$C^*$$-algebras of nonlocal quaternionic convolution type operators. Zbl 0835.46052
Karlovich, Yuri I.
1993
The method of conformal gluing for the Haseman boundary value problem on an open contour. Zbl 0920.30032
Aĭzenshtat, A. V.; Karlovich, Yu. I.; Litvinchuk, G. S.
1996
Cauchy’s singular integral operator and its beautiful spectrum. Zbl 1030.47031
Böttcher, A.; Karlovich, Yu. I.
2001
On a singular integral operator with non-Carleman shifts on an open contour. Zbl 0403.47021
Karlovich, Yu. I.; Kravchenko, V. G.
1977
Invertibility in Banach algebras of functional operators with non-Carleman shifts. Zbl 1096.47510
Karlovich, A. Yu.; Karlovich, Yu. I.
2002
Localization of a class of Muckenhoupt weights by using Mellin pseudo-differential operators. Zbl 1446.42018
Karlovich, Yu. I.
2020
Noncompactness of Fourier convolution operators on Banach function spaces. Zbl 07126072
Fernandes, Cláudio A.; Karlovich, Alexei Y.; Karlovich, Yuri I.
2019
Algebra of convolution type operators with continuous data on Banach function spaces. Zbl 07155486
Fernandes, Cláudio A.; Karlovich, Alexei Yu.; Karlovich, Yuri I.
2019
$$C^*$$-algebras of Bergman type operators with piecewise continuous coefficients over domains with Dini-smooth corners. Zbl 07032875
Espinoza-Loyola, Enrique; Karlovich, Yuri I.
2019
One-sided invertibility of discrete operators and their applications. Zbl 1417.39068
Asekritova, Irina; Karlovich, Yuri; Kruglyak, Natan
2018
Criteria for $$n(d)$$-normality of weighted singular integral operators with shifts and slowly oscillating data. Zbl 06866257
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2018
Two-sided and one-sided invertibility of Wiener-type functional operators with a shift and slowly oscillating data. Zbl 1381.47076
Fernández-Torres, Gustavo; Karlovich, Yuri
2017
Necessary Fredholm conditions for weighted singular integral operators with shifts and slowly oscillating data. Zbl 1376.45016
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2017
Algebras of convolution-type operators with piecewise slowly oscillating data on weighted Lebesgue spaces. Zbl 06804003
Karlovich, Yuri I.
2017
The index of weighted singular integral operators with shifts and slowly oscillating data. Zbl 1450.47008
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2017
$$C^*$$-algebras of poly-Bergman type operators over sectors. Zbl 06768773
Karlovich, Yu. I.
2017
$$C^{\ast}$$-algebras of Bergman type operators with piecewise continuous coefficients over bounded polygonal domains. Zbl 1381.47077
Espinoza-Loyola, E.; Karlovich, Yu. I.
2017
Fredholmness of nonlocal singular integral operators with slowly oscillating data. Zbl 1404.45016
Fernández-Torres, G.; Karlovich, Yu. I.
2017
The Haseman boundary value problem with slowly oscillating coefficients and shifts. Zbl 1364.45004
Karlovich, Yu. I.
2017
On a weighted singular integral operator with shifts and slowly oscillating data. Zbl 1352.45005
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2016
One-sided invertibility criteria for binomial functional operators with shift and slowly oscillating data. Zbl 1358.47023
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2016
The generalized Cauchy index of some semi-almost periodic functions. Zbl 1351.42009
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2016
$$C^\ast$$-algebras of Bergman type operators with piecewise constant coefficients over sectors. Zbl 1361.47022
Espinoza-Loyola, E.; Karlovich, Yu. I.; Vilchis-Torres, O.
2015
$$C^*$$-algebras of Bergman type operators with continuous coefficients on polygonal domains. Zbl 1347.47050
Karlovich, Yuri I.
2015
$$C^*$$-algebra of nonlocal convolution type operators with piecewise slowly oscillating data. Zbl 1424.47118
Karlovich, Yuri; Loreto-Hernández, Iván
2015
Factorization of some triangular matrix functions and its applications. Zbl 1314.47028
Karlovich, Yu. I.; Loreto-Hernández, J.; Spitkovsky, I. M.
2015
Fredholmness and index of simplest singular integral operators with two slowly oscillating shifts. Zbl 1312.45014
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2014
A $$C^\ast$$-algebra of singular integral operators with shifts admitting distinct fixed points. Zbl 1316.47063
Bastos, M. A.; Fernandes, C. A.; Karlovich, Yu. I.
2014
A $$C^\ast$$-algebra of singular integral operators with shifts similar to affine mappings. Zbl 1317.47015
Bastos, M. Amélia; Fernandes, Cláudio A.; Karlovich, Yuri I.
2014
On regularization of Mellin PDO’s with slowly oscillating symbols of limited smoothness. Zbl 1332.47025
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2014
On the factorization of some block triangular almost periodic matrix functions. Zbl 1337.47028
Bastos, M. Amélia; Bravo, António; Karlovich, Yuri I.; Spitkovsky, Ilya M.
2014
Commutators of convolution type operators with piecewise quasicontinuous data. Zbl 1319.47033
de la Cruz-Rodriguez, Isaac; Karlovich, Yuri I.; Loreto-Hernández, Iván
2014
On convolution type operators with piecewise slowly oscillating data. Zbl 1297.47051
Karlovich, Yuri I.; Hernández, Iván Loreto
2013
Algebras of convolution type operators with piecewise slowly oscillating data. II: Local spectra and Fredholmness. Zbl 1275.47104
Karlovich, Yuri I.; Loreto Hernández, Iván
2013
Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001
Karlovich, Yuri I.; Rodino, Luigi; Silbermann, Bernd; Spitkovsky, Ilya M.
2013
On bang-bang controls for some nonlinear systems. Zbl 1258.93048
Karlovich, Yu. I.; Sklyar, K. V.; Sklyar, G. M.
2013
Kernels of asymmetric Toeplitz operators and applications to almost periodic factorization. Zbl 1321.47043
Câmara, M. C.; Karlovich, Yu. I.; Spitkovsky, I. M.
2013
Algebras of convolution type operators with piecewise slowly oscillating data. I: Local and structural study. Zbl 1275.47103
Karlovich, Yuri I.; Loreto Hernández, Iván
2012
Factorizations, Riemann-Hilbert problems and the corona theorem. Zbl 1262.47029
Câmara, M. C.; Diogo, C.; Karlovich, Yu. I.; Spitkovsky, I. M.
2012
On the convergence of the amplitude of the diffracted nonstationary wave in scattering by wedges. Zbl 1259.78016
Choque Rivero, A. E.; Karlovich, Yu. I.; Merzon, A. E.; Zhevandrov, P. N.
2012
$$C^*$$-algebras of Bergman-type operators with piecewise continuous coefficients and shifts. Zbl 1266.47042
Karlovich, Yu. I.; Mozel, V. A.
2012
On nonlocal $$C^*$$-algebras of two-dimensional singular integral operators. Zbl 1266.47069
Karlovich, Yu. I.; Mozel, V. A.
2012
Boundedness and compactness of pseudodifferential operators with non-regular symbols on weighted Lebesgue spaces. Zbl 1263.47061
Karlovich, Yu. I.
2012
Necessary conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data. Zbl 1239.47040
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2011
Sufficient conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data. Zbl 1236.47010
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2011
A nonlocal $$C^*$$-algebra of singular integral operators with shifts having periodic points. Zbl 1267.47015
Bastos, M. A.; Fernandes, C. A.; Karlovich, Yu. I.
2011
Fredholm property and essential spectrum of pseudodifferential operators with operator-valued symbols. Zbl 1222.47074
2011
The time optimal control as an interpolation problem. Zbl 1209.49005
Choque-Rivero, Abdon E.; Karlovich, Yu. I.
2011
Algebras of pseudodifferential operators with discontinuous oscillating symbols. Zbl 1218.47135
Karlovich, Yu. I.; Rabinovich, V. S.; Vasilevski, N. L.
2011
Constructive almost periodic factorization of some triangular matrix functions. Zbl 1206.42006
Câmara, M. C.; Karlovich, Yu. I.; Spitkovsky, I. M.
2010
Almost periodic polynomial factorization of some triangular matrix functions. Zbl 1214.47017
Karlovich, Yuri I.; Spitkovsky, Ilya M.
2010
Wiener-Hopf operators with slowly oscillating matrix symbols on weighted Lebesgue spaces. Zbl 1197.47043
Karlovich, Yu. I.; Hernández, J. Loreto
2009
An algebra of shift-invariant singular integral operators with slowly oscillating data and its application to operators with a Carleman shift. Zbl 1179.45003
Karlovich, Yu. I.
2009
Almost periodic factorization of some triangular matrix functions. Zbl 1177.47025
Câmara, M. C.; Karlovich, Yu. I.; Spitkovsky, I. M.
2009
$$C^*$$-algebras of Bergman type operators with piecewice continuous coefficients on bounded domains. Zbl 1196.47049
Karlovich, Yu. I.; Pessoa, L. V.
2009
A $$C^*$$-algebra of functional operators with shifts having a nonempty set of periodic points. Zbl 1207.47082
Bastos, M. A.; Fernandes, C. A.; Karlovich, Y. I.
2009
Poly-Bergman projections and orthogonal decompositions of $$L^2$$-spaces over bounded domains. Zbl 1160.46019
Karlovich, Yuri I.; Pessoa, Luís V.
2008
Nonlocal singular integral operators with slowly oscillating data. Zbl 1167.47039
Karlovich, Yuri I.
2008
Wiener-Hopf operators with semi-almost periodic matrix symbols on weighted Lebesgue spaces. Zbl 1201.47031
Karlovich, Yu. I.; Hernández, J. Loreto
2008
$$C^*$$-algebras of singular integral operators with shifts having the same nonempty set of fixed points. Zbl 1158.47066
Bastos, M. Amélia; Fernandes, Claudio A.; Karlovich, Yuri I.
2008
$$C^*$$-algebras of Bergman type operators with piecewise continuous coefficients. Zbl 1127.47055
Karlovich, Yu. I.; Pessoa, Luís V.
2007
Spectral measures in $$C^{*}$$-algebras of singular integral operators with shifts. Zbl 1108.47012
Bastos, M. A.; Fernandes, C. A.; Karlovich, Y. I.
2007
Algebras of pseudo-differential operators with discontinuous symbols. Zbl 1132.47059
Karlovich, Yu. I.
2007
Pseudodifferential operators with compound non-regular symbols. Zbl 1131.47047
Karlovich, Yu. I.
2007
$$C^*$$-algebras of integral operators with piecewise slowly oscillating coefficients and shifts acting freely. Zbl 1124.47010
Bastos, M. A.; Fernandes, C. A.; Karlovich, Yu. I.
2006
An algebra of pseudodifferential operators with slowly oscillating symbols. Zbl 1100.47059
Karlovich, Yu. I.
2006
A local-trajectory method and isomorphism theorems for nonlocal $$C^*$$-algebras. Zbl 1120.46052
Karlovich, Yu. I.
2006
Pseudodifferential operators with compound slowly oscillating symbols. Zbl 1144.47038
Karlovich, Yuri I.
2006
Algebras generated by the Bergman and anti-Bergman projections and by multiplications by piecewise continuous functions. Zbl 1109.47012
Karlovich, Yu. I.; Pessoa, Luís
2005
Convolution type operators with symbols generated by slowly oscillating and piecewise continuous matrix functions. Zbl 1060.47049
Bastos, Maria Amélia; Bravo, António; Karlovich, Yuri I.
2004
Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic matrix functions. Zbl 1081.47032
Bastos, M. A.; Karlovich, Yu. I.; Silbermann, B.
2004
Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data. Zbl 1063.47039
Bastos, Maria Amélia; Bravo, António; Karlovich, Yuri
2004
Fredholmness of singular integral operators with discrete subexponential groups of shifts on Lebesgue spaces. Zbl 1073.47049
Karlovich, Yuri; Silbermann, Bernd
2004
Singular integral operators with fixed singularities on weighted Lebesgue spaces. Zbl 1076.47036
Karlovich, Yu. I.; Ramírez de Arellano, E.
2004
Oscillatory Riemann-Hilbert problems and the corona theorem. Zbl 1047.47014
Bastos, M. A.; Karlovich, Yu. I.; dos Santos, A. F.
2003
Invertibility of functional operators with slowly oscillating non-Carleman shifts. Zbl 1027.47025
Karlovich, Alexei; Karlovich, Yuri; Lebre, Amarino
2003
The $$C^{*}$$-algebra of singular integral operators with semi-almost periodic coefficients. Zbl 1048.47027
Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I. M.
2003
Singular integral operators with piecewise almost periodic coefficients and Carleman shift. Zbl 1038.45007
Bastos, M. Amélia; Bravo, António; Karlovich, Yuri
2003
Compactness of commutators arising in the Fredholm theory of singular integral operators with shifts. Zbl 1027.45002
Karlovich, Alexei; Karlovich, Yuri
2003
Convolution operators and factorization of almost periodic matrix functions. Zbl 1011.47001
Böttcher, Albrecht; Karlovich, Yu I.; Spitkovsky, I. M.
2002
One-sided invertibility of binomial functional operators with a shift on rearrangement-invariant spaces. Zbl 1071.39027
Karlovich, Alexei Yu.; Karlovich, Yuri I.
2002
Invertibility in Banach algebras of functional operators with non-Carleman shifts. Zbl 1096.47510
Karlovich, A. Yu.; Karlovich, Yu. I.
2002
Local method for nonlocal operators on Banach spaces. Zbl 1041.47005
Karlovich, Yuri; Silbermann, Bernd
2002
The invertibility of convolution type operators on a union of intervals and the corona theorem. Zbl 0995.45004
Bastos, M. A.; Karlovich, Yu. I.; dos Santos, A. F.
2002
Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators. Zbl 1004.45010
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
2001
A shift-invariant algebra of singular integral operators with oscillating coefficients. Zbl 0998.47032
Karlovich, Yuri I.; Ramírez de Arellano, Enrique
2001
Toeplitz operators with semi-almost-periodic matrix symbols on Hardy spaces. Zbl 0993.47021
Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I.
2001
Algebra of singular integral operators with a Carleman backward slowly oscillating shift. Zbl 0994.47046
Karlovich, Yu. I.; Lebre, A. B.
2001
Cauchy’s singular integral operator and its beautiful spectrum. Zbl 1030.47031
Böttcher, A.; Karlovich, Yu. I.
2001
The method of limit operators for one-dimensional singular integrals with slowly oscillating data. Zbl 0993.47026
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
2000
Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights. Zbl 0918.47025
Böttcher, Albrecht; Karlovich, Yuri I.
1999
Local spectra and index of singular integral operators with piecewise continuous coefficients on composed curves. Zbl 0982.47024
Bishop, C. J.; Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I.
1999
Almost periodic factorization of block triangular matrix functions revisited. Zbl 0951.42005
Karlovich, Yuri I.; Spitkovsky, Ilya M.; Walker, Ronald A.
1999
The corona theorem and the canonical factorization of triangular AP matrix functions – Effective criteria and explicit formulas. Zbl 0913.47015
Bastos, M. A.; Karlovich, Yu. I.; dos Santos, A. F.; Tishin, P. M.
1998
On a new algorithm for almost periodic factorization. Zbl 0903.47013
Bastos, M. A.; Karlovich, Yu. I.; Spitkovsky, I. M.; Tishin, P. M.
1998
Mellin pseudodifferential operators with slowly varying symbols and singular integrals on Carleson curves with Muckenhoupt weights. Zbl 0913.47046
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
1998
The corona theorem and the existence of canonical factorization of triangular AP-matrix functions. Zbl 0913.47014
Bastos, M. A.; Karlovich, Yu. I.; dos Santos, A. F.; Tishin, P. M.
1998
Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions. Zbl 0933.42003
Ball, J. A.; Karlovich, Yu. I.; Rodman, L.; Spitkovsky, I. M.
1998
Carleson curves, Muckenhoupt weights, and Toeplitz operators. Zbl 0889.47001
Böttcher, Albrecht; Karlovich, Yuri I.
1997
Banach algebras generated by $$N$$ idempotents and applications. Zbl 0885.46041
Böttcher, A.; Gohberg, I.; Karlovich, Yu.; Krupnik, N.; Roch, S.; Silbermann, B.; Spitkovsky, I.
1996
Toeplitz and singular integral operators on general Carleson Jordan curves. Zbl 0887.47027
Böttcher, A.; Karlovich, Yu. I.
1996
Emergence, persistence, and disappearance of logarithmic spirals in the spectra of singular integral operators. Zbl 0865.45003
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
1996
Submultiplicative functions and spectral theory of Toeplitz operators. Zbl 0867.42009
Böttcher, Albrecht; Karlovich, Yuri I.
1996
Semi-Fredholm properties of certain singular integral operators. Zbl 0882.47003
Karlovich, Yuri I.; Spitkovsky, Ilya M.
1996
The method of conformal gluing for the Haseman boundary value problem on an open contour. Zbl 0920.30032
Aĭzenshtat, A. V.; Karlovich, Yu. I.; Litvinchuk, G. S.
1996
...and 32 more Documents
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#### Cited by 217 Authors

 52 Karlovich, Yuri I. 24 Karlovich, Alexeĭ Yur’evich 24 Spitkovsky, Ilya Matvey 17 Pinheiro de Castro, Luís Filipe 14 Böttcher, Albrecht 13 Câmara, Maria Cristina 12 Bastos, Maria Amélia 12 Pessoa, Luís V. 11 Rabinovich, Vladimir Samuilovich 10 Rodman, Leiba X. 9 dos Santos, António Ferreira 9 Fernandes, Claudio A. 8 Lebre, Amarino Brites 6 Speck, Frank-Olme 5 Antonevich, Anatolij Borisovich 5 Jafarov, Sadulla Z. 5 Krupnik, Naum Yakovlevich 5 Samko, Stefan Grigorievich 5 Silbermann, Bernd 5 Vasilevski, Nikolai Leonidovich 4 Diogo, Cristina 4 Kokilashvili, Vakhtang Mikhailovich 4 Loaiza, Maribel 4 Mozel’, V. A. 3 Chandler-Wilde, Simon N. 3 Espinoza-Loyola, Enrique 3 Kapanadze, David 3 Lopes, Paulo A. C. 3 Loreto Hernández, Iván 3 Rojas, Edixon Manuel 3 Santos, Pedro A. 3 Shchukin, Mikhail V. 3 Silva, Anabela Sousa 3 Volosivets, Sergeĭ Sergeevich 2 Armutcu, Hatice 2 Ball, Joseph Anthony 2 Baratchart, Laurent 2 Bart, Harm 2 Bernstein, Swanhild 2 Borichev, Aleksandr Aleksandrovich 2 Brudnyi, Alexander 2 Campos de Carvalho, Catarina 2 Dadashova, Irada B. 2 de la Paz Méndez, José Eligio 2 Didenko, Victor D. 2 Ehrhardt, Torsten 2 Guo, Guoan 2 Kamalyan, Armen G. 2 Kurbatov, Vitaliĭ Gennad’evich 2 Latushkin, Yuri 2 Lenells, Jonatan 2 Martins, M. C. 2 Mascarenhas, Helena 2 Merzon, Anatoli E. 2 Partington, Jonathan R. 2 Ramírez Ortega, Josué 2 Roch, Steffen 2 Rozenblum, Grigori V. 2 Santos, Ana Moura 2 Shargorodsky, Eugene 2 Skubachevskij, Alexander L. 2 Tarasenko, Anna Valer’evna 2 Tishin, P. M. 2 Woerdeman, Hugo Jan 1 Adukov, Viktor Mikhaĭlovich 1 Akgun, Ramazan 1 Akhmatova, A. A. 1 Arens, Tilo 1 Asekritova, Irina U. 1 Avdonin, Sergeĭ Anatol’evich 1 Avellaneda, Marco 1 Avsyankin, Oleg Gennadievich 1 Aykol, Canay 1 Azeroglu, Tahir 1 Baik, Jinho 1 Bakonyi, Mihály 1 Bashkarev, P. G. 1 Baskarev, P. G. 1 Batty, Charles J. K. 1 Benhida, Chafiq 1 Bilalov, Bilal T. 1 Bishop, Christopher James 1 Bogveradze, Giorgi 1 Bravo, António 1 Bruno, Giordano 1 Bulanova, Anna 1 Cakir, Zeynep 1 Callier, Frank M. 1 Castillo Pérez, Raúl 1 Chaabi, Slah 1 Choque Rivero, Abdon Eddy 1 Chui, Charles Kam-tai 1 Conceição Pereira, José 1 Conceição, Ana C. 1 Cui, Yanyan 1 Curbera, Guillermo P. 1 D’asero, Salvatore 1 Davies, Edward Brian 1 Dil’man, Valeriĭ Leĭzerovich 1 Du, Jinyuan ...and 117 more Authors
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#### Cited in 83 Serials

 51 Integral Equations and Operator Theory 27 Journal of Mathematical Analysis and Applications 14 Journal of Functional Analysis 13 Complex Analysis and Operator Theory 6 Ukrainian Mathematical Journal 6 Zeitschrift für Analysis und ihre Anwendungen 6 Complex Variables and Elliptic Equations 5 Journal of Integral Equations and Applications 5 Journal of Mathematical Sciences (New York) 4 Mathematical Methods in the Applied Sciences 4 Functional Analysis and its Applications 4 Mathematische Nachrichten 4 Siberian Mathematical Journal 4 Linear Algebra and its Applications 4 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Mathematical Notes 3 Transactions of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 Mediterranean Journal of Mathematics 3 Banach Journal of Mathematical Analysis 2 Applicable Analysis 2 Aequationes Mathematicae 2 Indagationes Mathematicae. New Series 2 Russian Journal of Mathematical Physics 2 Turkish Journal of Mathematics 2 Advances in Applied Clifford Algebras 2 Integral Transforms and Special Functions 2 Trudy Instituta Matematiki 2 Tbilisi Mathematical Journal 1 Analysis Mathematica 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 New Zealand Journal of Mathematics 1 Russian Mathematics 1 Bulletin des Sciences Mathématiques 1 Doklady Mathematics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics and Computer Science 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Foundations of Computational Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Analysis and Applications (Singapore) 1 Communications in Mathematical Analysis 1 Mathematics in Computer Science 1 Operators and Matrices 1 Annals of Functional Analysis 1 Journal of Spectral Theory 1 Azerbaijan Journal of Mathematics 1 Journal of Classical Analysis 1 Journal of Mathematics 1 Concrete Operators 1 Special Matrices 1 Journal of Function Spaces 1 Open Mathematics 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 1 Transactions of A. Razmadze Mathematical Institute 1 Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika 1 Constructive Mathematical Analysis
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#### Cited in 34 Fields

 178 Operator theory (47-XX) 78 Functional analysis (46-XX) 62 Integral equations (45-XX) 56 Harmonic analysis on Euclidean spaces (42-XX) 49 Functions of a complex variable (30-XX) 36 Partial differential equations (35-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Potential theory (31-XX) 9 Approximations and expansions (41-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Abstract harmonic analysis (43-XX) 8 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 4 Associative rings and algebras (16-XX) 4 Real functions (26-XX) 4 Optics, electromagnetic theory (78-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)