## Operator Theory: Advances and Applications

 Short Title: Oper. Theory: Adv. Appl. Publisher: Birkhäuser, Cham ISSN: 0255-0156; 2296-4878/e Online: http://rd.springer.com/bookseries/4850 Comments: Book series; Indexed cover-to-cover
 Documents Indexed: 288 Publications (since 1979)
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### Latest Volumes

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### Authors / Editors

 64 Gohberg, Israel 26 Kaashoek, Marinus Adriaan 19 Alpay, Daniel Aron 11 Langer, Heinz 10 Ball, Joseph Anthony 10 Rodman, Leiba X. 10 Schulze, Bert-Wolfgang 9 Ran, André C. M. 8 Bart, Harm 8 Demuth, Michael 8 Kurasov, Pavel B. 8 Spitkovsky, Ilya Matvey 8 Wong, Man Wah 7 Dym, Harry 7 Helton, John William 7 Szőkefalvi-Nagy, Béla 7 Vasilescu, Florian-Horia 7 Vinnikov, Victor L. 7 Voiculescu, Dan-Virgil 6 Naboko, Serguei N. 6 Silbermann, Bernd 5 Arsene, Grigore 5 Böttcher, Albrecht 5 Foiaş, Ciprian Ilie 5 Förster, Karl-Heinz 5 Goldberg, Seymour 5 Gorbachuk, Myroslav L’vovych 5 Gorbachuk, Valentyna Ivanivna 5 Grudsky, Sergei Mikhailovich 5 Janas, Jan 5 Kirstein, Bernd 5 Lancaster, Peter 5 Laptev, Ari 5 Maz’ya, Vladimir Gilelevich 5 Sakhnovych, Lev Aronovych 5 Toft, Joachim 5 Vasilevski, Nikolai Leonidovich 4 Adamyan, Vadym Movsesovych 4 Bastos, Maria Amélia 4 Colombo, Fabrizio 4 Curto, Raúl Enrique 4 Helson, Henry 4 Krupnik, Naum Yakovlevich 4 Nikol’skiĭ, Nikolaĭ Kapitonovich 4 Popov, Gennadiĭ Yakovlevich 4 Rodino, Luigi 4 Speck, Frank-Olme 4 Trunk, Carsten 3 Albeverio, Sergio A. 3 Apostol, Constantin Gelu 3 Behrndt, Jussi 3 Berezans’kyĭ, Yuriĭ Makarovych 3 Bolotnikov, Vladimir 3 Dijksma, Aad 3 dos Santos, António Ferreira 3 Douglas, Ronald George 3 Dritschel, Michael A. 3 Duduchava, Roland 3 Eidelman, Yuli 3 Exner, Pavel 3 Frazho, Arthur E. 3 Karlovych, Oleksiy 3 Kochubeĭ, Anatoliĭ Naumovych 3 Lebre, Amarino Brites 3 Lerer, Leonid Efimovich 3 Lyubich, Yuriĭ Il’ich 3 Mennicken, Reinhard 3 Möller, Manfred 3 Olshevsky, Vadim 3 Pearcy, Carl Mark Jr. 3 Putinar, Mihai 3 Rabinovich, Vladimir Samuilovich 3 Rovnyak, James 3 Samko, Stefan Grigorievich 3 Shoikhet, David 3 Stolz, Gunter 3 Van der Mee, Cornelis Victor Maria 3 Witt, Ingo 2 Arendt, Wolfgang 2 Ashyralyev, Allaberen 2 Bauer, Wolfram 2 Baumgärtel, Hellmut 2 Belitskii, Genrich R. 2 Bercovici, Hari 2 Bini, Dario Andrea 2 Boggiatto, Paolo 2 Brown, B. Malcolm 2 Cialdea, Alberto 2 de Pagter, Bernardus 2 Egorov, Yuriĭ Vladimirovich 2 Eĭdel’man, Samuïl Davydovych 2 Eisner, Tanja 2 Fritzsche, Bernd 2 Gantner, Jonathan 2 Greenberg, William 2 Haimovici, Iulian 2 Heinig, Georg 2 Jacob, Birgit 2 Jonas, Peter 2 Karlovich, Yuri I. ...and 251 more Authors
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### Fields

 232 Operator theory (47-XX) 167 General and overarching topics; collections (00-XX) 80 Partial differential equations (35-XX) 78 Functional analysis (46-XX) 32 Functions of a complex variable (30-XX) 28 Ordinary differential equations (34-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 24 Numerical analysis (65-XX) 23 Integral equations (45-XX) 22 Systems theory; control (93-XX) 20 Quantum theory (81-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Probability theory and stochastic processes (60-XX) 11 History and biography (01-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Real functions (26-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Special functions (33-XX) 7 Approximations and expansions (41-XX) 7 Abstract harmonic analysis (43-XX) 6 Difference and functional equations (39-XX) 6 Mechanics of deformable solids (74-XX) 5 Integral transforms, operational calculus (44-XX) 5 Differential geometry (53-XX) 5 Fluid mechanics (76-XX) 3 Combinatorics (05-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

144 Publications have been cited 6,408 times in 5,607 Documents Cited by Year
The functional calculus for sectorial operators. Zbl 1101.47010
Haase, Markus
2006
Algebraic methods for Toeplitz-like matrices and operators. Zbl 0549.15013
Heinig, Georg; Rost, Karla
1984
Classes of linear operators. Vol. I. Zbl 0745.47002
Gohberg, Israel; Goldberg, Seymour; Kaashoek, Marinus A.
1990
Floquet theory for partial differential equations. Zbl 0789.35002
Kuchment, Peter
1993
Minimal factorization of matrix and operator functions. Zbl 0424.47001
Bart, H.; Gohberg, I.; Kaashoek, M. A.
1979
Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob. Zbl 0748.47045
Akhmerov, R. R.; Kamenskii, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovskii, B. N.
1992
Measures of noncompactness in metric fixed point theory. Zbl 0885.47021
Ayerbe Toledano, J. M.; Domínguez Benavides, Tomas; López Acedo, Genaro
1997
Weights, extrapolation and the theory of Rubio de Francia. Zbl 1234.46003
Cruz-Uribe, David V.; Martell, José Maria; Pérez, Carlos
2011
Factorization of matrix functions and singular integral operators. Zbl 0474.47023
Clancey, K.; Gohberg, I.
1981
The commutant lifting approach to interpolation problems. Zbl 0718.47010
Foias, Ciprian; Frazho, Arthur E.
1990
Interpolation of rational matrix functions. Zbl 0708.15011
Ball, Joseph A.; Gohberg, Israel; Rodman, Leiba
1990
Matrices and indefinite scalar products. Zbl 0513.15006
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1983
Eigenvalue distribution of compact operators. Zbl 0618.47013
König, Hermann
1986
Boundary value problems in abstract kinetic theory. Zbl 0624.35003
Greenberg, William; van der Mee, Cornelis; Protopopescu, Vladimir
1987
Traces and determinants of linear operators. Zbl 0946.47013
Gohberg, Israel; Goldberg, Seymour; Krupnik, Nahum
2000
Characterizations of inner product spaces. Zbl 0617.46030
Amir, Dan
1986
Schur functions, operator colligations, and reproducing kernel Pontryagin spaces. Zbl 0879.47006
Alpay, Daniel; Dijksma, Aad; Rovnyak, James; de Snoo, Hendrik
1997
Spectral methods in linear transport theory. Zbl 0498.47001
Kaper, Hans G.; Lekkerkerker, C. Gerrit; Hejtmanek, J.
1982
Elliptic functional differential equations and applications. Zbl 0946.35113
Skubachevskii, Alexander L.
1997
Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob. Zbl 0592.34011
1986
Symplectic geometry and quantum mechanics. Zbl 1098.81004
de Gosson, Maurice
2006
Classes of linear operators. Vol. II. Zbl 0789.47001
Gohberg, Israel; Goldberg, Seymour; Kaashoek, Marinus A.
1993
Commutative algebras of Toeplitz operators on the Bergman space. Zbl 1168.47057
Vasilevski, Nikolai L.
2008
The asymptotic behaviour of semigroups of linear operators. Zbl 0905.47001
van Neerven, Jan
1996
Analytic perturbation theory for matrices and operators. Licensed ed. Zbl 0591.47013
Baumgärtel, H.
1985
Limit operators and their applications in operator theory. Zbl 1077.47002
Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd
2004
Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces. Zbl 1385.47001
Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan
2016
Analytic methods in the theory of differential and pseudo-differential equations of parabolic type. Zbl 1062.35003
Eidelman, Samuil D.; Ivasyshen, Stepan D.; Kochubei, Anatoly N.
2004
Spectral theory of hyponormal operators. Zbl 0523.47012
Xia, Daoxing
1983
Optimal domain and integral extension of operators, acting in function spaces. Zbl 1145.47027
Okada, Susumu; Ricker, Werner J.; Sánchez Pérez, Enrique A.
2008
Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces. Zbl 1367.47004
Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan
2016
Wavelet transforms and localization operators. Zbl 1016.42017
Wong, Man-Wah
2002
Linear port-Hamiltonian systems on infinite-dimensional spaces. Zbl 1254.93002
Jacob, Birgit; Zwart, Hans J.
2012
Lectures on hyponormal operators. Zbl 0684.47018
Martin, Mircea; Putinar, Mihai
1989
Slice hyperholomorphic Schur analysis. Zbl 1366.30001
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene
2016
New difference schemes for partial differential equations. Zbl 1060.65055
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
2004
Convolution operators and factorization of almost periodic matrix functions. Zbl 1011.47001
Böttcher, Albrecht; Karlovich, Yu I.; Spitkovsky, I. M.
2002
Pseudo-differential operators, singularities, applications. Zbl 0877.35141
Egorov, Yu. V.; Schulze, Bert-Wolfgang
1997
Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii. Zbl 1127.35301
Maz’ya, V.; Nazarov, S.; Plamenevskii, B.
2000
On spectral theory of elliptic operators. Zbl 0855.35001
Egorov, Yu.; Kondratiev, V.
1996
Spectral theory of canonical differential systems. Method of operator identities. Zbl 0918.47003
Sakhnovich, Lev A.
1999
Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory. Zbl 1198.37001
Elin, Mark; Shoikhet, David
2010
Unbounded operator algebras and representation theory. Lizenzausg. d. Akademie Verl., Berlin. Zbl 0697.47048
1989
Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids. Zbl 1048.76001
Kopachevsky, Nikolay D.; Krein, Selim G.
2003
Reproducing kernel spaces and applications. Zbl 1021.00005
2003
Toeplitz operators and index theory in several complex variables. Zbl 0957.47023
Upmeier, Harald
1996
Spectral theory of linear operators and spectral systems in Banach algebras. 2nd ed. Zbl 1208.47001
2007
Numerical analysis for integral and related operator equations. Licensed ed. Zbl 0763.65103
Prössdorf, Siegfried; Silbermann, Bernd
1991
Metric constrained interpolation, commutant lifting and systems. Zbl 0923.47009
Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A.
1998
Operator approach to linear problems of hydrodynamics. Vol. 1: Self-adjoint problems for an ideal fluid. Zbl 0979.76002
Kopachevsky, N. D.; Krein, Selim G.
2001
Nonlinear parabolic-hyperbolic coupled systems and their attractors. Zbl 1173.35004
Qin, Yuming
2008
Harmonic analysis and boundary value problems in the complex domain. Zbl 0798.43001
Djrbashian, Mkhitar M.
1993
M. G. Krein’s lectures on entire operators. Zbl 0883.47008
Gorbachuk, M. L.; Gorbachuk, V. I.
1997
Positive operator semigroups. From finite to infinite dimensions. Zbl 1420.47001
Bátkai, András; Kramar Fijavž, Marjeta; Rhandi, Abdelaziz
2017
Partially specified matrices and operators: classification, completion, applications. Zbl 0832.15004
Gohberg, Israel; Kaashoek, Marinus A.; van Schagen, Frederik
1995
An introduction to operator polynomials. Zbl 0685.47011
Rodman, Leiba
1989
Stability of operators and operator semigroups. Zbl 1205.47002
Eisner, Tanja
2010
Banach algebras with symbol and singular integral operators. Transl. from the Russian by A. Iacob. Zbl 0641.47031
Krupnik, Naum Ya.
1987
Spectral theory of operator pencils, Hermite-Biehler functions, and their applications. Zbl 1357.47003
Möller, Manfred; Pivovarchik, Vyacheslav
2015
Complete second order linear differential equations in Hilbert spaces. Zbl 0873.34049
Shklyar, Alexander Ya.
1997
Series in Banach spaces: conditional and unconditional convergence. Transl. from the Russian by Andrei Iacob. Zbl 0876.46009
1997
Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu.
2008
Functional analysis. Vol. 1-2. Transl. from the Russian by Peter V. Malyshev. Zbl 0859.46001
Berezansky, Y. M.; Sheftel, Z. G.; Us, G. F.
1996
Periodic homogenization of elliptic systems. Zbl 1409.35007
Shen, Zhongwei
2018
Conservative realizations of Herglotz-Nevanlinna functions. Zbl 1240.47001
Arlinskii, Yuri; Belyi, Sergey; Tsekanovskii, Eduard
2011
Factorization of matrix and operator functions. The state space method. Zbl 1149.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M.
2008
One-dimensional functional equations. Zbl 1069.39027
Belitskii, G.; Tkachenko, V.
2003
Spectral theory on the S-spectrum for quaternionic operators. Zbl 1422.47002
Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P.
2018
Algebraic multiplicity of eigenvalues of linear operators. Zbl 1144.47001
López-Gómez, Julián; Mora-Corral, Carlos
2007
Spectral theory of approximation methods for convolution equations. Zbl 0817.65146
Hagen, Roland; Roch, Steffen; Silbermann, Bernd
1994
Hilbert space, boundary value problems and orthogonal polynomials. Zbl 1033.34080
Krall, Allan M.
2002
Separable type representations of matrices and fast algorithms. Volume 2. Eigenvalue method. Zbl 1280.65034
Eidelman, Yuli; Gohberg, Israel; Haimovici, Iulian
2014
Tauberian operators. Zbl 1187.47002
González, Manuel; Martínez-Abejón, Antonio
2010
General parabolic mixed order systems in $$L_p$$ and applications. Zbl 06214483
Denk, Robert; Kaip, Mario
2013
Time-varying discrete linear systems: input-output operators; Riccati equations; disturbance attenuation. Zbl 0799.93035
1994
Spectral theory of linear operators and spectral systems in Banach algebras. Zbl 1017.47001
2003
Holomorphic operator functions of one variable and applications. Methods from complex analysis in several variables. Zbl 1182.47014
Gohberg, Israel; Leiterer, Jürgen
2009
Laurent series and their Padé approximations. Zbl 0624.30005
1987
Quaternionic closed operators, fractional powers and fractional diffusion processes. Zbl 1458.47001
Colombo, Fabrizio; Gantner, Jonathan
2019
Parabolic boundary value problems. Zbl 0893.35001
Eidelman, Samuil D.; Zhitarashu, Nicolae V.
1998
Covariant Schrödinger semigroups on Riemannian manifolds. Zbl 1422.47048
Güneysu, Batu
2017
Schur parameters, factorization and dilation problems. Zbl 0872.47008
Constantinescu, Tiberiu
1996
Linear functional equations. Operator approach. Transl. from the Russian by V. Muzafarov a. A. Iacob. Zbl 0841.47001
Antonevich, A. B.
1996
One-dimensional linear singular integral equations. I. Introduction. Transl. from the German by Bernd Luderer and Steffen Roch. Zbl 0743.45004
Gohberg, Israel; Krupnik, Naum
1992
A state space approach to canonical factorization with applications. Zbl 1203.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M.
2010
Introduction to the theory of Banach representations of groups. Transl. from the Russian by A. Jacob. Zbl 0635.22001
Lyubich, Yurij I.
1988
Topics in differential and integral equations and operator theory. Ed. by I. Gohberg. Transl. from the Russian by A. Iacob. Zbl 0512.45001
Krein, M. G.
1983
Quadrature domains and their applications. The Harold S. Shapiro anniversary volume. Expanded version of talks and papers presented at a conference on the occasion of the 75th birthday of Harold S. Shapiro, Santa Barbara, CA, USA, March 2003. Zbl 1062.30001
2005
I. Schur methods in operator theory and signal processing. Zbl 0583.00020
1986
Integral equations with difference kernels on finite intervals. Zbl 0841.45003
Sakhnovich, L. A.
1996
Periodic differential operators. Zbl 1267.34001
Brown, B. Malcolm; Eastham, Michael S. P.; Schmidt, Karl Michael
2013
Separable type representations of matrices and fast algorithms. Volume 1. Basics. Completion problems. Multiplication and inversion algorithms. Zbl 1280.65027
Eidelman, Yuli; Gohberg, Israel; Haimovici, Iulian
2014
An operator perspective on signals and systems. Zbl 1218.93003
Frazho, Arthur E.; Bhosri, Wisuwat
2010
Introduction to the theory of Toeplitz operators with infinite index. Transl. from the Russian by Andrei Iacob. Zbl 1030.47001
2002
Analytic inequalities and their applications in PDEs. Zbl 1362.35002
Qin, Yuming
2017
Non-spectral asymptotic analysis of one-parameter operator semigroups. Zbl 1117.47001
Emel’yanov, Eduard Yu.
2007
Optimization in elliptic problems with applications to mechanics of deformable bodies and fluid mechanics. Zbl 0947.49001
Litvinov, William G.
2000
Constructive methods of Wiener-Hopf factorization. Zbl 0612.47025
1986
Riemann’s boundary problem with infinite index. Introduction, appendix and editing by I. V. Ostrovskij. Transl. from the Russian by Yu. I. Lyubarskij. Zbl 0790.30027
Govorov, N. V.
1994
Orthogonal systems and convolution operators. Zbl 1031.42021
Ellis, Robert L.; Gohberg, Israel
2003
Evolutionary equations. Picard’s theorem for partial differential equations, and applications. Zbl 07414827
Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
2022
Direct and inverse finite-dimensional spectral problems on graphs. Zbl 1480.39001
Möller, Manfred; Pivovarchik, Vyacheslav
2020
Quaternionic closed operators, fractional powers and fractional diffusion processes. Zbl 1458.47001
Colombo, Fabrizio; Gantner, Jonathan
2019
Gibbs semigroups. Zbl 07150996
Zagrebnov, Valentin A.
2019
Periodic homogenization of elliptic systems. Zbl 1409.35007
Shen, Zhongwei
2018
Spectral theory on the S-spectrum for quaternionic operators. Zbl 1422.47002
Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P.
2018
Multivariate prediction, de Branges spaces, and related extension and inverse problems. Zbl 1440.60004
Arov, Damir Z.; Dym, Harry
2018
Boundary value problems with global projection conditions. Zbl 1423.35003
Liu, Xiaochun; Schulze, Bert-Wolfgang
2018
Positive operator semigroups. From finite to infinite dimensions. Zbl 1420.47001
Bátkai, András; Kramar Fijavž, Marjeta; Rhandi, Abdelaziz
2017
Covariant Schrödinger semigroups on Riemannian manifolds. Zbl 1422.47048
Güneysu, Batu
2017
Analytic inequalities and their applications in PDEs. Zbl 1362.35002
Qin, Yuming
2017
Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Zbl 1367.47005
2017
Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces. Zbl 1385.47001
Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan
2016
Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces. Zbl 1367.47004
Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan
2016
Slice hyperholomorphic Schur analysis. Zbl 1366.30001
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene
2016
The method of rigged spaces in singular perturbation theory of self-adjoint operators. Zbl 1447.47010
Koshmanenko, Volodymyr; Dudkin, Mykola
2016
Spectral theory of operator pencils, Hermite-Biehler functions, and their applications. Zbl 1357.47003
Möller, Manfred; Pivovarchik, Vyacheslav
2015
Integral equations with difference kernels on finite intervals. 2nd revised and extended edition. Zbl 1334.45001
Sakhnovich, Lev A.
2015
Separable type representations of matrices and fast algorithms. Volume 2. Eigenvalue method. Zbl 1280.65034
Eidelman, Yuli; Gohberg, Israel; Haimovici, Iulian
2014
Separable type representations of matrices and fast algorithms. Volume 1. Basics. Completion problems. Multiplication and inversion algorithms. Zbl 1280.65027
Eidelman, Yuli; Gohberg, Israel; Haimovici, Iulian
2014
Semi-bounded differential operators, contractive semigroups and beyond. Zbl 1317.47002
2014
General parabolic mixed order systems in $$L_p$$ and applications. Zbl 06214483
Denk, Robert; Kaip, Mario
2013
Periodic differential operators. Zbl 1267.34001
Brown, B. Malcolm; Eastham, Michael S. P.; Schmidt, Karl Michael
2013
Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June – July, 2011. Zbl 1258.00012
2013
Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001
2013
Operator methods in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP) 2010, Bedlewo, Poland. Zbl 1257.00017
2013
Pseudo-differential operators, generalized functions and asymptotics. Selected papers of the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Zbl 1260.00029
2013
Representations of linear operators between Banach spaces. Zbl 1283.47002
Edmunds, David E.; Evans, William Desmond
2013
Linear port-Hamiltonian systems on infinite-dimensional spaces. Zbl 1254.93002
Jacob, Birgit; Zwart, Hans J.
2012
Lévy processes, integral equations, statistical physics. Connections and interactions. Zbl 1258.45001
Sakhnovich, Lev A.
2012
Spectral analysis of quantum Hamiltonians. Spectral Days 2010. Selected papers of the conference, Santiago, Chile, September 2010. Zbl 1257.00013
2012
Weights, extrapolation and the theory of Rubio de Francia. Zbl 1234.46003
Cruz-Uribe, David V.; Martell, José Maria; Pérez, Carlos
2011
Conservative realizations of Herglotz-Nevanlinna functions. Zbl 1240.47001
Arlinskii, Yuri; Belyi, Sergey; Tsekanovskii, Eduard
2011
Elementary operators and their applications. 3rd international workshop, Queen’s University Belfast, Belfast, Northern Ireland, April, 14–17, 2009. Zbl 1208.47003
2011
Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory. Zbl 1198.37001
Elin, Mark; Shoikhet, David
2010
Stability of operators and operator semigroups. Zbl 1205.47002
Eisner, Tanja
2010
Tauberian operators. Zbl 1187.47002
González, Manuel; Martínez-Abejón, Antonio
2010
A state space approach to canonical factorization with applications. Zbl 1203.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M.
2010
An operator perspective on signals and systems. Zbl 1218.93003
Frazho, Arthur E.; Bhosri, Wisuwat
2010
Operator algebras, operator theory and applications. Proceedings of the 18th international workshop on operator theory and applications (IWOTA), Potchefstroom, South Africa, July 3–6, 2007. Zbl 1181.47005
2010
Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Zbl 1189.65011
2010
Holomorphic operator functions of one variable and applications. Methods from complex analysis in several variables. Zbl 1182.47014
Gohberg, Israel; Leiterer, Jürgen
2009
Commutative algebras of Toeplitz operators on the Bergman space. Zbl 1168.47057
Vasilevski, Nikolai L.
2008
Optimal domain and integral extension of operators, acting in function spaces. Zbl 1145.47027
Okada, Susumu; Ricker, Werner J.; Sánchez Pérez, Enrique A.
2008
Nonlinear parabolic-hyperbolic coupled systems and their attractors. Zbl 1173.35004
Qin, Yuming
2008
Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu.
2008
Factorization of matrix and operator functions. The state space method. Zbl 1149.47001
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M.
2008
Exponentially dichotomous operators and applications. Zbl 1158.47001
van der Mee, Cornelis
2008
Spectral theory of linear operators and spectral systems in Banach algebras. 2nd ed. Zbl 1208.47001
2007
Algebraic multiplicity of eigenvalues of linear operators. Zbl 1144.47001
López-Gómez, Julián; Mora-Corral, Carlos
2007
Non-spectral asymptotic analysis of one-parameter operator semigroups. Zbl 1117.47001
Emel&rsquo;yanov, Eduard Yu.
2007
Modern trends in pseudo-differential operators. Zbl 1111.47003
2007
The functional calculus for sectorial operators. Zbl 1101.47010
Haase, Markus
2006
Symplectic geometry and quantum mechanics. Zbl 1098.81004
de Gosson, Maurice
2006
Partial differential equations and functional analysis. The Philippe Clément Festschrift. Based on the workshop, Delft, Netherlands, November 29–December 1, 2004 dedicated to Philippe Clément on the occasion of his retirement in December 2004. Zbl 1096.00007
de Pagter, Ben
2006
Quadrature domains and their applications. The Harold S. Shapiro anniversary volume. Expanded version of talks and papers presented at a conference on the occasion of the 75th birthday of Harold S. Shapiro, Santa Barbara, CA, USA, March 2003. Zbl 1062.30001
2005
Limit operators and their applications in operator theory. Zbl 1077.47002
Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd
2004
Analytic methods in the theory of differential and pseudo-differential equations of parabolic type. Zbl 1062.35003
Eidelman, Samuil D.; Ivasyshen, Stepan D.; Kochubei, Anatoly N.
2004
New difference schemes for partial differential equations. Zbl 1060.65055
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
2004
Advances in pseudo-differential operators. Proceedings of the 4th congress of the International Society for Analysis, its Applications and Computation (ISAAC), Toronto, Canada, August 11–16, 2003. Zbl 1050.47001
2004
Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids. Zbl 1048.76001
Kopachevsky, Nikolay D.; Krein, Selim G.
2003
Reproducing kernel spaces and applications. Zbl 1021.00005
2003
One-dimensional functional equations. Zbl 1069.39027
Belitskii, G.; Tkachenko, V.
2003
Spectral theory of linear operators and spectral systems in Banach algebras. Zbl 1017.47001
2003
Orthogonal systems and convolution operators. Zbl 1031.42021
Ellis, Robert L.; Gohberg, Israel
2003
Wavelet transforms and localization operators. Zbl 1016.42017
Wong, Man-Wah
2002
Convolution operators and factorization of almost periodic matrix functions. Zbl 1011.47001
Böttcher, Albrecht; Karlovich, Yu I.; Spitkovsky, I. M.
2002
Hilbert space, boundary value problems and orthogonal polynomials. Zbl 1033.34080
Krall, Allan M.
2002
Introduction to the theory of Toeplitz operators with infinite index. Transl. from the Russian by Andrei Iacob. Zbl 1030.47001
2002
Operator approach to linear problems of hydrodynamics. Vol. 1: Self-adjoint problems for an ideal fluid. Zbl 0979.76002
Kopachevsky, N. D.; Krein, Selim G.
2001
Lie algebras of bounded operators. Zbl 1084.47500
Beltiţă, Daniel; Şabac, Mihai
2001
Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25–28, 1999. Zbl 0979.00042
2001
Recent advances in operator theory and related topics. The Béla Szőkefalvi-Nagy memorial volume. Proceedings of the memorial conference, Szeged, Hungary, August 2–6, 1999. Zbl 0971.00017
2001
Traces and determinants of linear operators. Zbl 0946.47013
Gohberg, Israel; Goldberg, Seymour; Krupnik, Nahum
2000
Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii. Zbl 1127.35301
Maz&rsquo;ya, V.; Nazarov, S.; Plamenevskii, B.
2000
Optimization in elliptic problems with applications to mechanics of deformable bodies and fluid mechanics. Zbl 0947.49001
Litvinov, William G.
2000
Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff. Zbl 1127.35300
Maz&rsquo;ya, V.; Nazarov, S.; Plamenevskii, B.
2000
Spectral theory of canonical differential systems. Method of operator identities. Zbl 0918.47003
Sakhnovich, Lev A.
1999
Metric constrained interpolation, commutant lifting and systems. Zbl 0923.47009
Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A.
1998
Parabolic boundary value problems. Zbl 0893.35001
Eidelman, Samuil D.; Zhitarashu, Nicolae V.
1998
Chebyshev splines and Kolmogorov inequalities. Zbl 0909.41010
Bagdasarov, Sergey
1998
Measures of noncompactness in metric fixed point theory. Zbl 0885.47021
Ayerbe Toledano, J. M.; Domínguez Benavides, Tomas; López Acedo, Genaro
1997
Schur functions, operator colligations, and reproducing kernel Pontryagin spaces. Zbl 0879.47006
Alpay, Daniel; Dijksma, Aad; Rovnyak, James; de Snoo, Hendrik
1997
Elliptic functional differential equations and applications. Zbl 0946.35113
Skubachevskii, Alexander L.
1997
Pseudo-differential operators, singularities, applications. Zbl 0877.35141
Egorov, Yu. V.; Schulze, Bert-Wolfgang
1997
M. G. Krein’s lectures on entire operators. Zbl 0883.47008
Gorbachuk, M. L.; Gorbachuk, V. I.
1997
Complete second order linear differential equations in Hilbert spaces. Zbl 0873.34049
Shklyar, Alexander Ya.
1997
Series in Banach spaces: conditional and unconditional convergence. Transl. from the Russian by Andrei Iacob. Zbl 0876.46009
1997
Topics in interpolation theory. Zbl 0868.00053
1997
The asymptotic behaviour of semigroups of linear operators. Zbl 0905.47001
van Neerven, Jan
1996
On spectral theory of elliptic operators. Zbl 0855.35001
Egorov, Yu.; Kondratiev, V.
1996
Toeplitz operators and index theory in several complex variables. Zbl 0957.47023
Upmeier, Harald
1996
Functional analysis. Vol. 1-2. Transl. from the Russian by Peter V. Malyshev. Zbl 0859.46001
Berezansky, Y. M.; Sheftel, Z. G.; Us, G. F.
1996
Schur parameters, factorization and dilation problems. Zbl 0872.47008
Constantinescu, Tiberiu
1996
Linear functional equations. Operator approach. Transl. from the Russian by V. Muzafarov a. A. Iacob. Zbl 0841.47001
Antonevich, A. B.
1996
Integral equations with difference kernels on finite intervals. Zbl 0841.45003
Sakhnovich, L. A.
1996
Partially specified matrices and operators: classification, completion, applications. Zbl 0832.15004
Gohberg, Israel; Kaashoek, Marinus A.; van Schagen, Frederik
1995
Asymptotics of nonlinearities and operator equations. Zbl 0863.47047
Krasnosel&rsquo;skii, A. M.
1995
Spectral theory of approximation methods for convolution equations. Zbl 0817.65146
Hagen, Roland; Roch, Steffen; Silbermann, Bernd
1994
Time-varying discrete linear systems: input-output operators; Riccati equations; disturbance attenuation. Zbl 0799.93035
1994
...and 44 more Documents
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### Cited by 5,095 Authors

 102 Alpay, Daniel Aron 80 Rodman, Leiba X. 70 Gohberg, Israel 59 Ran, André C. M. 55 Kaashoek, Marinus Adriaan 43 Ball, Joseph Anthony 43 Colombo, Fabrizio 41 Nazarov, Sergeĭ Aleksandrovich 40 Ashyralyev, Allaberen 38 Sabadini, Irene 36 Bolotnikov, Vladimir 35 Karlovich, Yuri I. 34 Van der Mee, Cornelis Victor Maria 33 de Gosson, Maurice Alexis 33 Gil’, Michael Iosif 33 Heinig, Georg 30 Sakhnovich, Alexander L. 29 Gesztesy, Fritz 28 Dym, Harry 28 Shakhmurov, Veli B. 26 Karlovych, Oleksiy 26 Meskhi, Alexander 26 Silbermann, Bernd 25 Jeribi, Aref 25 Kokilashvili, Vakhtang Mikhailovich 25 Latrach, Khalid 25 Spitkovsky, Ilya Matvey 24 Rabinovich, Vladimir Samuilovich 24 Sánchez-Pérez, Enrique Alfonso 23 Arov, Damir Zyamovich 23 Arqub, Omar Abu 23 Savin, Anton Yur’evich 22 Frazho, Arthur E. 22 Qin, Yuming 22 Rafeiro, Humberto 21 Banaś, Józef 21 Bart, Harm 21 Câmara, Maria Cristina 21 Samko, Stefan Grigorievich 21 Skubachevskiĭ, Aleksandr Leonidovich 21 Zwart, Hans J. 20 Vasilevski, Nikolai Leonidovich 18 Cruz-Uribe, David Vincente 18 Ehrhardt, Torsten 18 Putinar, Mihai 17 Benchohra, Mouffak 17 Dijksma, Aad 17 Kirstein, Bernd 17 Langer, Heinz 17 Lerer, Leonid Efimovich 17 ter Horst, Sanne 16 Fritzsche, Bernd 16 Ho, Kwok-Pun 16 Kuchment, Peter A. 16 Lancaster, Peter 16 Mejjaoli, Hatem 16 Rautian, Nadegda Aleksandrovna 16 Tomilov, Yuri 16 Tretter, Christiane 16 Veraar, Mark C. 15 Mehl, Christian 15 Rost, Karla 15 Taskinen, Jari 15 Woracek, Harald 14 Gemignani, Luca 14 Kühn, Thomas 14 Lebre, Amarino Brites 14 Lewkowicz, Izchak 14 Mehrmann, Volker 14 Mokhtar-Kharroubi, Mustapha 14 Roch, Steffen 14 Sternin, Boris Yur’evich 13 Abbas, Said 13 Agarwal, Ravi P. 13 Pinheiro de Castro, Luís Filipe 13 Glück, Jochen 13 González Ortiz, Manuel 13 Henríquez, Hernán R. 13 Jacob, Birgit 13 Kailath, Thomas 13 Martini, Horst 13 Pivovarchik, Vyacheslav N. 13 Sakhnovych, Lev Aronovych 13 Schulze, Bert-Wolfgang 13 Speck, Frank-Olme 13 Väth, Martin 12 Al-Smadi, Mohammed H. 12 dos Santos, António Ferreira 12 Elin, Mark 12 Foiaş, Ciprian Ilie 12 Helton, John William 12 Kimsey, David Patrick 12 Ko, Eungil 12 Kopachevskiĭ, Nikolaĭ Dmitrievich 12 Labbas, Rabah 12 Mursaleen, Mohammad 12 Olshevsky, Vadim 12 Skrzypczak, Leszek 12 van Neerven, Jan M. A. M. 12 Vinnikov, Victor L. ...and 4,995 more Authors
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### Cited in 569 Journals

 398 Integral Equations and Operator Theory 383 Linear Algebra and its Applications 348 Journal of Mathematical Analysis and Applications 203 Journal of Functional Analysis 112 Proceedings of the American Mathematical Society 111 Complex Analysis and Operator Theory 93 Transactions of the American Mathematical Society 92 Journal of Mathematical Sciences (New York) 82 Journal of Differential Equations 69 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 64 Transport Theory and Statistical Physics 53 Abstract and Applied Analysis 51 Journal of Mathematical Physics 50 Journal of Computational and Applied Mathematics 49 Mathematische Nachrichten 48 Mathematical Notes 48 Journal of Evolution Equations 48 Mediterranean Journal of Mathematics 45 Communications in Mathematical Physics 43 Journal of Integral Equations and Applications 38 Automatica 35 Journal d’Analyse Mathématique 34 Applied Mathematics and Computation 34 Journal of Pseudo-Differential Operators and Applications 33 Advances in Mathematics 33 Systems & Control Letters 33 Indagationes Mathematicae. New Series 32 The Journal of Geometric Analysis 31 Mathematische Zeitschrift 30 Journal of Approximation Theory 30 The Journal of Fourier Analysis and Applications 30 Fractional Calculus & Applied Analysis 29 Differential Equations 28 Positivity 27 Results in Mathematics 27 Semigroup Forum 27 Acta Applicandae Mathematicae 26 Ukrainian Mathematical Journal 26 Zeitschrift für Analysis und ihre Anwendungen 26 Doklady Mathematics 25 Mathematical Methods in the Applied Sciences 25 Annali di Matematica Pura ed Applicata. Serie Quarta 25 Functional Analysis and its Applications 25 Mathematische Annalen 25 SIAM Journal on Matrix Analysis and Applications 25 Aequationes Mathematicae 24 Monatshefte für Mathematik 24 Journal de Mathématiques Pures et Appliquées. Neuvième Série 23 Numerical Functional Analysis and Optimization 23 Numerische Mathematik 23 Russian Journal of Mathematical Physics 21 Archive for Rational Mechanics and Analysis 21 Computers & Mathematics with Applications 21 Israel Journal of Mathematics 21 Filomat 21 Advances in Difference Equations 20 Journal of Computational Physics 20 Linear and Multilinear Algebra 20 Journal of Geometry and Physics 20 MCSS. Mathematics of Control, Signals, and Systems 20 Analysis and Mathematical Physics 19 Archiv der Mathematik 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Boundary Value Problems 18 International Journal of Control 18 Rocky Mountain Journal of Mathematics 18 St. Petersburg Mathematical Journal 18 Lobachevskii Journal of Mathematics 18 Banach Journal of Mathematical Analysis 17 Letters in Mathematical Physics 17 Mathematics of Computation 17 Advances in Applied Clifford Algebras 17 Journal of Fixed Point Theory and Applications 16 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 15 SIAM Journal on Control and Optimization 15 Siberian Mathematical Journal 15 Journal of Inequalities and Applications 15 Acta Mathematica Sinica. English Series 15 Complex Variables and Elliptic Equations 15 Journal of Function Spaces 14 Journal of Statistical Physics 14 Journal of Complexity 14 Communications on Pure and Applied Analysis 14 Advances in Operator Theory 13 Czechoslovak Mathematical Journal 13 SIAM Journal on Mathematical Analysis 13 Journal of Dynamics and Differential Equations 13 Potential Analysis 12 Studia Mathematica 12 Quaestiones Mathematicae 12 Acta Mathematica Hungarica 12 Numerical Algorithms 12 Calculus of Variations and Partial Differential Equations 12 Discrete and Continuous Dynamical Systems 12 Computational Methods and Function Theory 12 Carpathian Mathematical Publications 11 Annales de l’Institut Fourier 11 Calcolo 11 Physica D 11 Applied Numerical Mathematics ...and 469 more Journals
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### Cited in 64 Fields

 2,549 Operator theory (47-XX) 1,225 Partial differential equations (35-XX) 1,002 Functional analysis (46-XX) 612 Ordinary differential equations (34-XX) 548 Linear and multilinear algebra; matrix theory (15-XX) 532 Numerical analysis (65-XX) 473 Harmonic analysis on Euclidean spaces (42-XX) 433 Functions of a complex variable (30-XX) 350 Systems theory; control (93-XX) 345 Integral equations (45-XX) 276 Quantum theory (81-XX) 216 Probability theory and stochastic processes (60-XX) 212 Statistical mechanics, structure of matter (82-XX) 205 Dynamical systems and ergodic theory (37-XX) 171 Fluid mechanics (76-XX) 147 Global analysis, analysis on manifolds (58-XX) 139 Difference and functional equations (39-XX) 137 Real functions (26-XX) 123 Several complex variables and analytic spaces (32-XX) 119 Approximations and expansions (41-XX) 97 Mechanics of deformable solids (74-XX) 86 Differential geometry (53-XX) 86 Optics, electromagnetic theory (78-XX) 85 Abstract harmonic analysis (43-XX) 73 Integral transforms, operational calculus (44-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 62 Special functions (33-XX) 55 Potential theory (31-XX) 50 Mechanics of particles and systems (70-XX) 50 Biology and other natural sciences (92-XX) 49 Topological groups, Lie groups (22-XX) 49 Information and communication theory, circuits (94-XX) 45 Statistics (62-XX) 38 Algebraic geometry (14-XX) 38 General topology (54-XX) 37 Measure and integration (28-XX) 36 Convex and discrete geometry (52-XX) 31 Number theory (11-XX) 29 Operations research, mathematical programming (90-XX) 25 Combinatorics (05-XX) 25 Computer science (68-XX) 24 Associative rings and algebras (16-XX) 24 Sequences, series, summability (40-XX) 22 Nonassociative rings and algebras (17-XX) 21 Classical thermodynamics, heat transfer (80-XX) 19 Geometry (51-XX) 18 Field theory and polynomials (12-XX) 14 Group theory and generalizations (20-XX) 13 History and biography (01-XX) 13 Commutative algebra (13-XX) 12 $$K$$-theory (19-XX) 12 Astronomy and astrophysics (85-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Algebraic topology (55-XX) 10 Relativity and gravitational theory (83-XX) 9 Manifolds and cell complexes (57-XX) 5 General and overarching topics; collections (00-XX) 5 Mathematical logic and foundations (03-XX) 5 Geophysics (86-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 1 (04-XX) 1 General algebraic systems (08-XX) 1 Mathematics education (97-XX)