Edit Profile (opens in new tab) Kreĭn, Mark Grigor’evich Compute Distance To: Compute Author ID: krein.mark-grigorevich Published as: Krejn, M. G.; Krein, M.; Kreĭn, M. G.; Krein, M. G.; Krein, Mark; Kreĭn, M.; Krejn, M.; Krein, M; Kreijn, Mark Grigor’evich; Krein, Mark Grigorievich; Krein, Mark Grigorevich; Kreĭn, Mark Grigorevich; Krein, Mark G.; Kreĭn, Mark G.; Kreijn, M. G.; Krejn, G. M.; Kreĭn, Mark more...less Further Spellings: Крейн Марко Григорович External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: Wolf Prize (1982) Documents Indexed: 365 Publications since 1926, including 19 Books 1 Further Contribution Biographic References: 42 Publications Co-Authors: 76 Co-Authors with 202 Joint Publications 1,972 Co-Co-Authors all top 5 Co-Authors 163 single-authored 30 Gohberg, Israel 25 Akhiezer, Naum Il’ich 14 Langer, Heinz 13 Gantmakher, Feliks Ruvimovich 11 Nudelman, Adolf Abramovich 9 Arov, Damir Zyamovich 9 Shmul’yan, Yu. L. 8 Adamyan, Vadym Movsesovych 8 Levin, Boris Yakovlevich 7 Marchenko, Vladimir Aleksandrovich 7 Ostrovskiĭ, Iosif Vladimirovich 7 Ovcharenko, Igor’ Evgen’evich 6 Langer, G. K. 6 Levitan, Boris Moiseevich 5 Melik-Adamyan, F. Eh. 5 Naĭmark, Mark Aronovich 4 Efimov, Nikolaĭ Vladimirovich 4 Gel’fand, Israil’ Moiseevich 4 Iokhvidov, I. S. 4 Kolmogorov, Andreĭ Nikolaevich 4 Mil’man, D. P. 3 Berezans’kyĭ, Yuriĭ Makarovych 3 Brodskij, Vladimir Mikhailovich 3 Dalets’kyĭ, Yuriĭ L’vovych 3 Kats, Izrail’ Samoĭlovich 3 Krasnosel’skiĭ, Mark Aleksandrovich 3 Kreĭn, Selim Grigor’evich 3 Lyubarskij, G. Ya 3 Rutman, M. A. 3 Spitkovsky, Ilya Matvey 3 Yakubovich, Vladimir Andreevich 2 Bogolyubov, Nikolaĭ Nikolaevich 2 Danilevskij, A. M. 2 Dobrushin, Roland L’vovich 2 Finkelstein, G. M. 2 Grosberg, Ju. I. 2 Iohvidov, I. S. 2 Kirillov, Alexandre Aleksandrovich 2 Lavrent’ev, Mikhail Alekseevich 2 Leites, Dimitry A. 2 Lyubich, Yuriĭ Il’ich 2 Lyusternik, Lazar’ Aronovich 2 Minlos, Robert Adol’fovich 2 Nudel’man, P. Ja. 2 Pogorelov, Alekseĭ Vasil’evich 2 Povzner, Aleksandr Yakovlevich 2 Rekhtman, P. G. 2 Saakyan, Sh. N. 2 Shabat, Boris Vladimirovich 2 Shmul’yan, Vitol’d L’vovich 2 Shubin, Mikhail Aleksandrovich 2 Sinaĭ, Yakov Grigor’evich 1 Aĭzerman, Mark Aronovich 1 Birman, Mikhail Shlëmovich 1 Brodskij, M. S. 1 Graev, Mark Iosifovich 1 Helemskii, Alexander Ya. 1 Iochvidov, I. S. 1 Iochvidov, L. S. 1 Ismagilov, Rais Sal’manovich 1 Khristianovich, Sergey Alekseyevich 1 Koshmanenko, Volodymyr Dmytrovych 1 Kovalenko, K. R. 1 Krasznoszelszkij, M. A. 1 Kudryavtsev, Lev Dmitrievich 1 Matsaev, Vladimir Igorevich 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 Pavlov, Boris Sergeevich 1 Pontryagin, Lev Semënovich 1 Roĭtberg, Yakov Abramovich 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Shilov, Georgiĭ Evgen’evich 1 Shor, Ya. B. 1 Shtraus, Abram Vilgelmovich 1 Sobolev, Sergeĭ L’vovich 1 Stöhr, Alfred 1 Yafyasov, Adil’ Malikovich 1 Yavryan, V. A. 1 Zhelobenko, Dmitry Petrovich 1 Zuchovickij, S. I. all top 5 Serials 57 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 30 Translations. Series 2. American Mathematical Society 20 Soviet Mathematics. Doklady 19 Uspekhi Matematicheskikh Nauk [N. S.] 18 Doklady Akademii Nauk SSSR. Novaya Seriya 12 Functional Analysis and its Applications 10 Russian Mathematical Surveys 10 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 8 Doklady Akademii Nauk SSSR 8 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 8 Recueil Mathématique 7 Matematicheskiĭ Sbornik. Novaya Seriya 6 Ukraïns’kyĭ Matematychnyĭ Zhurnal 6 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Recueil Mathématique. Nouvelle Série 5 Acta Scientiarum Mathematicarum 5 Integral Equations and Operator Theory 5 Translations of Mathematical Monographs 4 Journal of Operator Theory 3 Prikladnaya Matematika i Mekhanika 3 Trudy Moskovskogo Matematicheskogo Obshchestva 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 3 Bulletin de la Société Physico-Mathématique de Kazan. III. Ser 2 Studia Mathematica 2 Compositio Mathematica 2 Siberian Mathematical Journal 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 2 Annals of Mathematics. Second Series 2 Bulletin de l’Académie des Sciences de l’URSS. VII. Série 2 Beiträge zur Analysis 1 Analysis Mathematica 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Matematicheskie Zametki 1 Akademiya Nauk Armyanskoĭ SSR. Doklady 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Selected Translations in Mathematical Statistics and Probability 1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 1 Mathematics of the USSR, Sbornik 1 Problemy Peredachi Informatsii 1 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 1 PMM, Journal of Applied Mathematics and Mechanics 1 Applied Mathematics and Mechanics 1 Mathematische Lehrbücher und Monographien. I. Abteilung: Mathematische Lehrbücher 1 Operator Theory: Advances and Applications 1 Translations. Series 2. American Mathematical Society 1 Mathematical Research all top 5 Fields 84 Operator theory (47-XX) 30 Ordinary differential equations (34-XX) 24 History and biography (01-XX) 23 Functions of a complex variable (30-XX) 21 Functional analysis (46-XX) 20 Integral equations (45-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Mechanics of particles and systems (70-XX) 8 Approximations and expansions (41-XX) 8 Integral transforms, operational calculus (44-XX) 5 Mechanics of deformable solids (74-XX) 4 Field theory and polynomials (12-XX) 4 Partial differential equations (35-XX) 4 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 218 Publications have been cited 6,112 times in 5,111 Documents Cited by ▼ Year ▼ Introduction to the theory of linear nonselfadjoint operators. Zbl 0181.13504Gohberg, I. C.; Krein, M. G. 1,226 1969 Oscillation matrices and kernels and small vibrations of mechanical systems. (Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme. Wissenschaftliche Bearbeitung der deutschen Ausgabe Alfred Stöhr.) Zbl 0088.25103Gantmacher, F. R.; Krein, M. G. 546 1960 Linear operators leaving invariant a cone in a Banach space. (Lineare Operatoren, die einen Kegel in einem Banachschen Raum invariant lassen.) Zbl 0030.12902Kreĭn, M. G.; Rutman, M. A. 452 1948 Theory and applications of Volterra operators in Hilbert space. Zbl 0194.43804Gohberg, I. C.; Krein, M. G. 231 1970 The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications. I. (Теория самосопряженных расширений полуограниченных эрмитовых операторов и ее приложения. I.) Zbl 0029.14103Kreĭn, M. G. 191 1947 Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem. Zbl 0248.47019Adamjan, V. M.; Arov, D. Z.; Krein, M. G. 146 1972 Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\). Zbl 0236.47034Krein, M. G.; Langer, G. K. 128 1971 Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Raume pi//x zusammenhängen. I: Einige Funktionenklassen und ihre Darstellungen. Zbl 0412.30020Krein, M. G.; Langer, H. 111 1977 The Markov moment problem and extremal problems. Ideas and problems of P. L. Cebysev and A. A. Markov and their further development. Translated by D. Louvish. Zbl 0361.42014Krein, M. G.; Nudel’man, A. A. 111 1977 Oscillation matrices and kernels and small vibrations of mechanical systems. Translation based on the 1941 Russian original. Edited and with a preface by Alex Eremenko. Revised ed. Zbl 1002.74002Gantmacher, F. R.; Krein, M. G. 106 2002 Introduction to the spectral theory of operators in spaces with an indefinite metric. Zbl 0506.47022Iohvidov, I. S.; Krein, M. G.; Langer, H. 93 1982 The method of symmetric and Hermitian forms in the theory of separation of the roots of algebraic equations. Zbl 0584.12018Kreĭn, M. G.; Naĭmark, M. A. 93 1981 On the spectral functions of the string. Zbl 0291.34017Kac, I. S.; Krein, M. G. 89 1974 On the trace formula in perturbation theory. (Über die Spurformel in der Störungstheorie.) Zbl 0052.12303Kreĭn, M. G. 89 1953 Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems. Zbl 0174.45203Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 87 1968 Integral equations on a half-line with kernel depending upon the difference of the arguments. Zbl 0119.09601Kreĭn, M. G. 84 1962 R-functions - analytic functions mapping the upper halfplane into itself. Zbl 0291.34016Kac, I. S.; Krein, M. G. 83 1974 Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\). Zbl 0236.47035Krein, M. G.; Langer, G. K. 83 1972 On extreme points of regular convex sets. Zbl 0063.03360Krein, M.; Milman, D. 76 1940 The basic propositions on defect numbers, root numbers and indices of linear operators. Zbl 0089.32201Gokhberg, I. Ts.; Krejn, M. G. 73 1960 On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability. Zbl 0066.33404Krejn, M. G. 71 1955 Fundamental aspects of the representation theory of Hermitian operators with deficiency index (\(m,m\)). Zbl 0258.47025Krein, M. G. 69 1949 Description of contraction operators which are similar to unitary operators. Zbl 0161.11601Gokhberg, I. Ts.; Krein, M. G. 63 1967 Introduction to the theory of linear non-selfadjoint operators in Hilbert space. (Введение в теорию линейных несамосопряженных операторов в гильбертовом пространстве.) Zbl 0138.07803Gohberg, I. C.; Kreĭn, M. G. 61 1965 Über die Q-Funktion eines \(\pi\)-hermiteschen Operators im Raume \(\pi_\varkappa\). Zbl 0276.47036Krein, M. G.; Langer, H. 59 1973 Systems of integral equations on a half line with kernels depending on the difference of arguments. Zbl 0098.07501Gokhberg, I. Ts.; Krejn, M. G. 59 1960 Some questions in the theory of moments. Zbl 0117.32702Akhiezer, N. I.; Kreĭn, M. G. 58 1962 Fundamental aspects of defect numbers, root numbers and indexes of linear operators. Zbl 0088.32101Gokhberg, I. Ts.; Kreĭn, M. G. 53 1957 Oscillation matrices and kernels and small vibrations of mechanical systems. 2nd print. (Осцилляционые матрицы и ядра и малые колебания механических систем.) Zbl 0041.35502Gantmacher, F. R.; Kreĭn, M. G. 46 1950 Some propositions on analytic matrix functions related to the theory of operators in the space Pi//chi. Zbl 0492.30035Krein, M. G.; Langer, H. 43 1981 Infinite Hankel block matrices and related extension problems. Zbl 0386.15019Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 40 1978 Analytische Eigenschaften von Schmidtschen Paaren des Hankelschen Operators und das verallgemeinerte Problem von Schur-Takagi. Zbl 0243.47023Adamjan, V. M.; Arov, D. Z.; Krein, M. G. 39 1971 On a continuous analogue of a Christoffel formula from the theory of orthogonal polynomials. Zbl 0151.11202Krein, M. G. 36 1957 On the theory of wave operators and scattering operators. Zbl 0196.45004Birman, M. Sh.; Kreĭn, M. G. 35 1962 On some mathematical principles in the linear theory of damped oscillations of continua II. Zbl 0401.47018Krein, M. G.; Langer, H. 34 1978 Sur le problème du prolongement des fonctions hermitiennes positives et continues. Zbl 0022.35302Krein, M. 33 1940 Problem of search of the minimum of entropy in indeterminate extension problems. Zbl 0484.46060Arov, D. Z.; Krejn, M. G. 31 1981 On the theory of triangular representations of non-selfadjoint operators. Zbl 0106.08905Gohberg, I. C.; Kreĭn, M. G. 29 1961 On some mathematical principles in the linear theory of damped oscillations of continua I. Zbl 0401.47017Krein, M. G.; Langer, H. 28 1978 Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Raume \(\Pi_k\). zusammenhängen. II. Verallgemeinerte Resolventen, u-Resolventen und ganze Operatoren. Zbl 0423.47008Krein, M. G.; Langer, H. 28 1978 A contribution to the theory of entire functions of exponential type. Zbl 0033.36501Krein, Mark Grigorevich 27 1947 Sur les matrices completement non négatives et oscillatoires. Zbl 0017.00102Gantmakher, F.; Krein, M. 25 1937 Continuation of Hermitian positive definite functions and related questions. Zbl 1306.47022Krein, Mark G.; Langer, Heinz 24 2014 On the computation of entropy functionals and their minima in indeterminate extension problems. Zbl 0556.47013Arov, D. Z.; Kreĭn, M. G. 23 1983 Concerning the resolvents of an Hermitian operator with the deficiency- index (m, m). Zbl 0063.03358Krein, M. 23 1946 Sur les matrices complètement non négatives et oscillatoires. JFM 63.0038.04Gantmakher, F.; Krein, M. 22 1937 On some extension problems which are closely connected with the theory of hermitian operators in a space \(\Pi_ \kappa\). III: Indefinite analogues of the Hamburger and Stieltjes moment problems. I. Zbl 0507.47021Kreijn, Mark Grigor’evich; Langer, Heinz 22 1979 A generalization of some investigations of A. M. Lyapunov on linear differential equations with periodic coefficients. (Verallgemeinerung einiger Untersuchungen von A. M. Lyapunov über lineare Differentialgleichungen mit periodischen Koeffizienten.) Zbl 0041.05602Kreĭn, M. G. 22 1950 On regularly convex sets in the space conjugate to a Banach space. Zbl 0024.41305Krein, M.; Šmulian, V. 21 1940 Über eine Verallgemeinerung von Untersuchungen von Stieltjes. Zbl 0049.34702Kreĭn, M. G. 21 1952 On a problem of extrapolation of A. N. Kolmogoroff. Zbl 0063.03356Krein, M. 20 1945 Propriétés fondamentales des ensembles coniques normaux dans l’espace de Banach. Zbl 0024.12202Krein, M. 18 1940 On a general method of decomposing Hermite -positive nuclei into elementary products. Zbl 0063.03359Krein, M. 18 1946 On extreme points of regular convex sets. JFM 66.0533.01Krein, M.; Milman, D. 17 1940 Basic theorems on defect numbers, root numbers and indices of linear operators. Zbl 0365.47001Gohberg, I. C.; Krein, M. G. 17 1977 Infinite Hankel matrices and generalized Caratheodory-Fejer and I. Schur problems. Zbl 0179.46701Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 17 1968 Über die verallgemeinerten Resolventen und die charakteristische Funktion eines isometrischen Operators im Raume \(\Pi_\varkappa\). Zbl 0273.47018Krein, M. G.; Langer, H. 16 1972 Introduction to the geometry of indefinite J-spaces and to the theory of operators in those spaces. Zbl 0206.11906Krejn, M. G. 16 1970 Sur la décomposition des fonctionnelles en composantes positives. Zbl 0022.35902Grosberg, J.; Krein, M. 16 1939 Perturbation determinants and a formula for the traces of unitary and selfadjoint operators. Zbl 0191.15201Krejn, M. G. 15 1962 On Hermitian operators whose deficiency indices are one. Zbl 0063.03349Krein, M. 15 1944 Compact linear operators on functional spaces with two norms. Zbl 0914.47002Krein, M. G. 14 1998 Topics in differential and integral equations and operator theory. Ed. by I. Gohberg. Transl. from the Russian by A. Iacob. Zbl 0512.45001Krein, M. G. 14 1983 On a remarkable class of Hermitian operators. Zbl 0063.03351Krein, M. 14 1944 On regularly convex sets in the space conjugate to a Banach space. JFM 66.0533.02Krein, M.; Šmulian, V. 13 1940 Sur quelques points de la théorie de la meilleure approximation des fonctions périodiques. JFM 64.0244.02Krein, M. 13 1938 On a basic approximation problem of the theory of extrapolation and filtration of stationary random processes. (Über eine fundamentale Approximationsaufgabe der Theorie der Extrapolation und der Filtration stationärer zufälliger Prozesse.) Zbl 0057.35002Kreĭn, M. G. 13 1954 On Hermitian operators deficiency indices are one. II. Zbl 0063.03350Krein, M. 13 1944 The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications. I. Zbl 0167.13403Krein, M. G. 12 1968 On the problem of continuation of helical arcs in Hilbert space. Zbl 0063.03354Krein, M. 12 1944 A note on basis in Banach space. Zbl 0023.13105Krein, M.; Milman, D.; Rutman, M. A. 11 1940 On the theory of accelerants and \(S\)-matrices of canonical differential systems. Zbl 0075.27302Kreĭn, M. G. 11 1956 On \(Q\)-functions and SC-resolvents of nondensely defined Hermitian contractions. (Über \(Q\)-Funktionen und SC-Resolventen nicht kompakt gegebener Hermitescher Kontraktionen.) Zbl 0384.47006Kreĭn, M. G.; Ovcharenko, I. E. 10 1977 Stability of solutions of differential equations in Banach space. Translated from the Russian by S. Smith. Zbl 0286.34094Daletskij, Yu. L.; Krejn, M. G. 10 1974 On a fundamental approximation problem in the theory of extrapolation and filtration of stationary random processes. Zbl 0168.17307Krein, M. G. 10 1963 Foundations of the theory of lambda-zones of stability of a canonical system of linear differential equations with periodic coefficients. Zbl 0516.34049Krejn, M. G. 9 1983 Markov’s moment problem and extremal problems. Ideas und problems of P. L. Chebyshev and A. A. Markov and their further development. (Проблема моментов Маркова и ѐкстремал’ные задачи. Идеи и проблемы П. Л. Чебышева и А. А. Маркова и их дал’нейшее развитие.) Zbl 0265.42006Kreĭn, M. G.; Nudel’man, A. A. 9 1973 On some continuation problems which are closely related to the theory of operators in spaces \(\Pi _{\kappa}\). IV: Continuous analogues of orthogonal polynomials on the unit circle with respect to an indefinite weight and related continuation problems for some classes of functions. Zbl 0608.47038Kreĭn, Mark G.; Langer, Heinz 9 1985 Spektraltheorie der Operatoren in Räumen mit indefiniter Metrik. I. Zbl 0072.13401Iokhvidov, I. S.; Kreĭn, M. G. 9 1956 On an inner characteristic of the set of all continuous functions defined on a bicompact Hausdorff space. JFM 66.0529.02Krein, M.; Krein, S. 8 1940 Angular localization of the spectrum of a multiplicative integral in a Hilbert space. Zbl 0182.17402Krein, M. G. 8 1969 Sur les matrices oscillatoires. Zbl 0012.28903Gantmacher, F.; Krein, M. 8 1935 Sur la meilleure approximation des fonctions périodiques derivables au moyen de sommes trigonométriques. Zbl 0016.30001Achyeser, N.; Krein, M. 8 1937 On an inner characteristic of the set of all continuous functions defined on a bicompact Hausdorff space. Zbl 0023.32701Krein, Mark; Krein, Selim 8 1940 Sur l’espace des fonctions continues definies sur un bicompact de Hausdorff et ses sous-espaces semiordonnes. Zbl 0060.26701Krein, Mark; Krein, Selim 8 1943 On a generalization of some investigations of G. Szegö, V. Smirnoff and K. Kolmogoroff. Zbl 0063.03355Krein, M. 8 1945 Die Anordnung der Nullstellen von Polynomen, die auf der Einheitskreisperipherie orthogonal mit alternierendem Gewicht sind. Zbl 0257.30002Krein, M. G. 8 1966 Spectral theory of operators in spaces with an indefinite metric. I. Zbl 0089.10803Iokhvidov, I. S.; Krejn, M. G. 8 1960 Criteria for the discreteness of the spectrum of a singular string. Zbl 1469.34111Kac, I. S.; Kreĭn, M. G. 8 1958 Sur le problème du prolongement des fonctions Hermitiennes positives et continues. JFM 66.0512.03Krein, M. 7 1940 Determinants of a perturbation and the trace formula for some classes of operator pairs. Zbl 0632.47010Kreĭn, M. G. 7 1987 Sur les matrices oscillatoires. JFM 61.0070.03Gantmacher, F.; Krein, M. 7 1935 The spectral shift function arising from perturbations of a positive operator. Zbl 0505.47016Krejn, M. G.; Yavryan, V. A. 7 1981 On a pair integral equation and its transpose. Zbl 0512.45003Gohberg, I. C.; Krein, M. G. 7 1983 \(Q\)-functions and SC-resolvents of nondensely defined Hermitian contractions. Zbl 0409.47013Kreĭn, M. G.; Ovcharenko, I. E. 7 1978 The spectral function of a selfadjoint operator in a space with indefinite metric. Zbl 0131.12604Krejn, M. G.; Langer, G. K. 7 1963 Zur Theorie der S-Matrizen mit summierbarem Potential. Zbl 0188.39506Krein, M. G.; Melik-Adamjan, F. E. 7 1968 On the logarithm of an infiniteley decomposible Hermite-positive function. Zbl 0063.03353Krein, M. 7 1944 Propriétés fondamentales des ensembles coniques normaux dans l’espace de Banach. JFM 66.0534.02Krein, M 6 1940 Sur la décomposition des fonctionnelles en composantes positives. JFM 65.0505.01Grosberg, J.; Krein, M. 6 1939 Continuation of Hermitian positive definite functions and related questions. Zbl 1306.47022Krein, Mark G.; Langer, Heinz 24 2014 Modified Krein formula and analytic perturbation procedure for scattering on arbitrary junction. Zbl 1186.35126Adamyan, V.; Pavlov, B.; Yafyasov, A. 4 2009 Oscillation matrices and kernels and small vibrations of mechanical systems. Translation based on the 1941 Russian original. Edited and with a preface by Alex Eremenko. Revised ed. Zbl 1002.74002Gantmacher, F. R.; Krein, M. G. 106 2002 Compact linear operators on functional spaces with two norms. Zbl 0914.47002Krein, M. G. 14 1998 An interpolation problem in the class of Stieltjes functions and its connection with other problems. Zbl 0908.30036Kreĭn, M. G.; Nudel’man, A. A. 6 1998 On the theory of entire matrix-functions of exponential type. Zbl 0956.30015Krein, M. G. 4 1997 On the theory of inverse problems for the canonical differential equation. Zbl 0858.47009Krein, M. G.; Ovcharenko, I. E. 1 1994 Selected works. In 3 vols. Vol. I: Complex analysis, extrapolation, interpolation, Hermitian-positive functions and related topics. Ed. by A. M. Samoĭlenko and V. D. Koshmanenko. With a biographical sketch of Kreĭn by D. Z. Arov, Yu. M. Berezanskiĭ, N. N. Bogolyubov, V. I. Gorbachuk, M. L. Gorbachuk, Yu. A. Mitropol’skiĭ and L. D. Faddeev. (Избранные труды. В трех книгах. Книга I: Комплексный анализ, ѐкстраполяция, интерполяция, ѐрмитово-положительные функции и примыкающие вопросы.) Zbl 0882.01023Kreĭn, M. G. 2 1993 On special representations of polynomials that are positive on a system of closed intervals, and some applications. Zbl 0989.41505Kreĭn, M. G.; Levin, B. Ya.; Nudel’man, A. A. 5 1990 On some spectral properties of nonhomogeneous strings with dissipative boundary condition. Zbl 0715.34138Kreĭn, M. G.; Nudel’man, A. A. 6 1989 On a special representation of polynomials that are positive on a system of closed intervals. Zbl 0698.26005Kreĭn, M. G.; Levin, B. Ya.; Nudel’man, A. A. 1 1989 Determinants of a perturbation and the trace formula for some classes of operator pairs. Zbl 0632.47010Kreĭn, M. G. 7 1987 On a supplement to the paper ”Wiener-Hopf equations whose kernels admit an integral representation in terms of exponents”. Zbl 0621.45002Krein, M. G.; Shmul’yan, Yu. L. 1 1986 On some continuation problems which are closely related to the theory of operators in spaces \(\Pi _{\kappa}\). IV: Continuous analogues of orthogonal polynomials on the unit circle with respect to an indefinite weight and related continuation problems for some classes of functions. Zbl 0608.47038Kreĭn, Mark G.; Langer, Heinz 9 1985 Integral Hankel operators and related continuation problems. Zbl 0563.47021Kreĭn, M. G.; Melik-Adamyan, F. È. 2 1984 Integral Hankel operators and related continuation problems. Zbl 0587.47035Krejn, M. G.; Melik-Adamyan, F. Eh. 2 1984 On the computation of entropy functionals and their minima in indeterminate extension problems. Zbl 0556.47013Arov, D. Z.; Kreĭn, M. G. 23 1983 Topics in differential and integral equations and operator theory. Ed. by I. Gohberg. Transl. from the Russian by A. Iacob. Zbl 0512.45001Krein, M. G. 14 1983 Foundations of the theory of lambda-zones of stability of a canonical system of linear differential equations with periodic coefficients. Zbl 0516.34049Krejn, M. G. 9 1983 On a pair integral equation and its transpose. Zbl 0512.45003Gohberg, I. C.; Krein, M. G. 7 1983 Some generalizations of Szegö’s first limit theorem. Zbl 0582.15008Krejn, M. G.; Spitkovskij, I. M. 5 1983 Addenda and Errata: On nonlinear integral equations which play a role in the theory of Wiener-Hopf equations. I, II. Zbl 0599.45002Krein, M. G. 2 1983 On tests for stable boundedness of solutions of periodic canonical systems. Zbl 0516.34034Krejn, M. G. 2 1983 Introduction to the spectral theory of operators in spaces with an indefinite metric. Zbl 0506.47022Iohvidov, I. S.; Krein, M. G.; Langer, H. 93 1982 On the theory of inverse problems for the canonical differential equation. Zbl 0491.30037Krejn, M. G.; Ovcharenko, I. E. 4 1982 The method of symmetric and Hermitian forms in the theory of separation of the roots of algebraic equations. Zbl 0584.12018Kreĭn, M. G.; Naĭmark, M. A. 93 1981 Some propositions on analytic matrix functions related to the theory of operators in the space Pi//chi. Zbl 0492.30035Krein, M. G.; Langer, H. 43 1981 Problem of search of the minimum of entropy in indeterminate extension problems. Zbl 0484.46060Arov, D. Z.; Krejn, M. G. 31 1981 The spectral shift function arising from perturbations of a positive operator. Zbl 0505.47016Krejn, M. G.; Yavryan, V. A. 7 1981 On some extension problems which are closely connected with the theory of hermitian operators in a space \(\Pi_ \kappa\). III: Indefinite analogues of the Hamburger and Stieltjes moment problem. II. Zbl 0507.47022Kreijn, Mark Grigor’evich; Langer, Heinz 6 1981 Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008Bogolyubov, N. N.; Gel’fand, I. M.; Dobrushin, R. L.; Kirillov, A. A.; Krein, M. G.; Leites, D. A.; Minlos, R. A.; Sinai, Ya. G.; Shubin, M. A. 1 1981 On some extension problems which are closely connected with the theory of hermitian operators in a space \(\Pi_ \kappa\). III: Indefinite analogues of the Hamburger and Stieltjes moment problems. I. Zbl 0507.47021Kreijn, Mark Grigor’evich; Langer, Heinz 22 1979 On direct and inverse problems for the boundary dissipation frequencies of a nonuniform string. Zbl 0442.34024Krejn, M. G.; Nudel’man, A. A. 2 1979 Infinite Hankel block matrices and related extension problems. Zbl 0386.15019Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 40 1978 On some mathematical principles in the linear theory of damped oscillations of continua II. Zbl 0401.47018Krein, M. G.; Langer, H. 34 1978 On some mathematical principles in the linear theory of damped oscillations of continua I. Zbl 0401.47017Krein, M. G.; Langer, H. 28 1978 Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Raume \(\Pi_k\). zusammenhängen. II. Verallgemeinerte Resolventen, u-Resolventen und ganze Operatoren. Zbl 0423.47008Krein, M. G.; Langer, H. 28 1978 \(Q\)-functions and SC-resolvents of nondensely defined Hermitian contractions. Zbl 0409.47013Kreĭn, M. G.; Ovcharenko, I. E. 7 1978 Inverse problems for Q-functions and resolvent matrices of positive hermitian operators. Zbl 0443.47026Krejn, M. G.; Ovcharenko, I. E. 6 1978 Über meßbare Hermitesch-positive Funktionen. Zbl 0367.28004Krein, M. G. 3 1978 Measurable Hermitian positive functions. Zbl 0403.28005Krein, M. G. 2 1978 Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Raume pi//x zusammenhängen. I: Einige Funktionenklassen und ihre Darstellungen. Zbl 0412.30020Krein, M. G.; Langer, H. 111 1977 The Markov moment problem and extremal problems. Ideas and problems of P. L. Cebysev and A. A. Markov and their further development. Translated by D. Louvish. Zbl 0361.42014Krein, M. G.; Nudel’man, A. A. 111 1977 Basic theorems on defect numbers, root numbers and indices of linear operators. Zbl 0365.47001Gohberg, I. C.; Krein, M. G. 17 1977 On \(Q\)-functions and SC-resolvents of nondensely defined Hermitian contractions. (Über \(Q\)-Funktionen und SC-Resolventen nicht kompakt gegebener Hermitescher Kontraktionen.) Zbl 0384.47006Kreĭn, M. G.; Ovcharenko, I. E. 10 1977 On an interpolation problem related to the Stieltjes moment problem. Zbl 0383.30022Krein, M. G.; Nudel’man, A. A. 5 1977 On factorization of matrix-valued functions on the unit circle. Zbl 0374.46042Krein, M. G.; Spitkovskii, I. M. 1 1977 On the indefinite power moment problem. Zbl 0337.44005Krein, M. G.; Langer, G. K. 6 1976 On the theory of generalized resolvents of nondensely defined Hermitian contractions. Zbl 0334.47019Kreĭn, M. G.; Ovcharenko, I. E. 4 1976 On generalized resolvents and resolvent matrices of positive Hermitian operators. Zbl 0362.47009Kreĭn, M. G.; Ovcharenko, I. E. 2 1976 Approximation of functions from \(L_2(\omega_1,\omega_2)\) by transfer functions of linear systems with minimum energy. Zbl 0328.41018Krein, M. G.; Nudel’man, P. Ja. 5 1975 On the spectral functions of the string. Zbl 0291.34017Kac, I. S.; Krein, M. G. 89 1974 R-functions - analytic functions mapping the upper halfplane into itself. Zbl 0291.34016Kac, I. S.; Krein, M. G. 83 1974 Stability of solutions of differential equations in Banach space. Translated from the Russian by S. Smith. Zbl 0286.34094Daletskij, Yu. L.; Krejn, M. G. 10 1974 On linear-fractional transformations with operator coefficients. Zbl 0283.47017Krejn, M. G.; Shmul’yan, Yu. L. 3 1974 Cebysev-Markov inequalities in the theory of the spectral functions of the vibrating string. Zbl 0285.34018Krein, M. G. 2 1974 Über die Q-Funktion eines \(\pi\)-hermiteschen Operators im Raume \(\pi_\varkappa\). Zbl 0276.47036Krein, M. G.; Langer, H. 59 1973 Markov’s moment problem and extremal problems. Ideas und problems of P. L. Chebyshev and A. A. Markov and their further development. (Проблема моментов Маркова и ѐкстремал’ные задачи. Идеи и проблемы П. Л. Чебышева и А. А. Маркова и их дал’нейшее развитие.) Zbl 0265.42006Kreĭn, M. G.; Nudel’man, A. A. 9 1973 On some new problems for Hardy class functions and continuous families of functions with double orthogonality. Zbl 0294.30027Krein, M. G.; Nudel’man, P. Ja. 3 1973 Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem. Zbl 0248.47019Adamjan, V. M.; Arov, D. Z.; Krein, M. G. 146 1972 Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\). Zbl 0236.47035Krein, M. G.; Langer, G. K. 83 1972 Über die verallgemeinerten Resolventen und die charakteristische Funktion eines isometrischen Operators im Raume \(\Pi_\varkappa\). Zbl 0273.47018Krein, M. G.; Langer, H. 16 1972 Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\). Zbl 0236.47034Krein, M. G.; Langer, G. K. 128 1971 Analytische Eigenschaften von Schmidtschen Paaren des Hankelschen Operators und das verallgemeinerte Problem von Schur-Takagi. Zbl 0243.47023Adamjan, V. M.; Arov, D. Z.; Krein, M. G. 39 1971 Unendliche Hankelsche Blockmatrizen und mit ihnen zusammenhängende Fortsetzungsprobleme. Zbl 0311.15012Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 1 1971 Naum Il’ich Akhiezer (on his seventieth birthday). Zbl 0221.01007Berezanskiĭ, Yu. M.; Kolmogorov, A. N.; Krein, M. G.; Levin, B. Ya.; Levitan, B. M.; Marchenko, V. A. 1 1971 Theory and applications of Volterra operators in Hilbert space. Zbl 0194.43804Gohberg, I. C.; Krein, M. G. 231 1970 Introduction to the geometry of indefinite J-spaces and to the theory of operators in those spaces. Zbl 0206.11906Krejn, M. G. 16 1970 Cebysev-Markovsche Ungleichungen in der Theorie der Spektralfunktionen einer Saite. Zbl 0238.34035Krein, M. G. 6 1970 Stability of solutions of differential equations in Banach space. (Ustojchivost’ reshenij differentsial’nykh uravnenij v banakhovom prostranstve.). Zbl 0233.34001Daletskij, Yu. L.; Krejn, M. G. 4 1970 On some results and problems of stability theory of solutions of differential equations in Banach space. Zbl 0242.34052Krejn, M. G.; Daletskij, Yu. L. 4 1970 On some new Banach algebras and Wiener-Lévy type theorems for Fourier series and integrals. Zbl 0214.14202Krejn, M. G. 1 1970 Some applications of the theorem on factorization of a unitary matrix. Zbl 0232.34010Krejn, M. G.; Melik-Adamyan, F. E. 1 1970 Resolvent matrix of Hermitian operator and the characteristic functions related to it. Zbl 0258.47024Krein, M. G.; Saakjan, S. N. 1 1970 Introduction to the theory of linear nonselfadjoint operators. Zbl 0181.13504Gohberg, I. C.; Krein, M. G. 1,226 1969 Angular localization of the spectrum of a multiplicative integral in a Hilbert space. Zbl 0182.17402Krein, M. G. 8 1969 General theorems on triangular representations of linear operators and multiplications of their characteristic functions. Zbl 0215.21101Brodskij, V. M.; Gokhberg, I. Ts.; Krejn, M. G. 2 1969 Bounded operators that commute with a contraction of class \(C_{00}\) of unit rank of nonunitarity. Zbl 0198.48001Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 1 1969 Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems. Zbl 0174.45203Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 87 1968 Infinite Hankel matrices and generalized Caratheodory-Fejer and I. Schur problems. Zbl 0179.46701Adamyan, V. M.; Arov, D. Z.; Krejn, M. G. 17 1968 The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications. I. Zbl 0167.13403Krein, M. G. 12 1968 Zur Theorie der S-Matrizen mit summierbarem Potential. Zbl 0188.39506Krein, M. G.; Melik-Adamjan, F. E. 7 1968 Description of contraction operators which are similar to unitary operators. Zbl 0161.11601Gokhberg, I. Ts.; Krein, M. G. 63 1967 Triangular representations of linear operators and the multiplicative representations of their characteristic functions. Zbl 0161.34505Gokhberg, I. Ts.; Krejn, M. G. 2 1967 Die Anordnung der Nullstellen von Polynomen, die auf der Einheitskreisperipherie orthogonal mit alternierendem Gewicht sind. Zbl 0257.30002Krein, M. G. 8 1966 Brief an die Redaktion. Zbl 0184.16401Iohvidov, I. S.; Krein, M. G. 6 1966 Some new results in the theory of resolvents of Hermitian operators. Zbl 0193.10002Krejn, M. G.; Saakyan, Sh. N. 4 1966 Plus-operators in a space with indefinite metric. Zbl 0201.16802Kreĭn, M. G.; Shmul’yan, Yu. L. 4 1966 \(\mathfrak I\)-polar representation of plus-operators. Zbl 0201.16803Kreĭn, M. G.; Shmul’yan, Yu. L. 4 1966 On the factorization of operators in Hilbert space. Zbl 0192.23004Gokhberg, I. Ts.; Krejn, M. G. 1 1966 Introduction to the theory of linear non-selfadjoint operators in Hilbert space. (Введение в теорию линейных несамосопряженных операторов в гильбертовом пространстве.) Zbl 0138.07803Gohberg, I. C.; Kreĭn, M. G. 61 1965 Über einige mathematische Prinzipien der linearen Theorie der gedämpften Schwingungen der Kontinua. Zbl 0236.47032Krein, M. G.; Langer, G. K. 3 1965 Feliks Ruvimovich Gantmakher. Obituary. Zbl 0127.00604Aĭzerman, M. A.; Kreĭn, M. G.; Lyusternik, L. A.; Najmark, M. A.; Pontryagin, L. S.; Sobolev, S. L.; Khristianovich, S. A.; Shor, Ya. B. 1 1965 Einführung in die Geometrie der indefiniten J-Räume und die Theorie der Operatoren in diesen Räumen. Zbl 0149.08704Krein, M. G. 1 1965 A contribution to the theory of quadratic pencils of self-adjoint operators. Zbl 0198.47102Krejn, M. G.; Langer, G. K. 5 1964 A new application of the fixed-point principle in the theory of operators on a space with indefinite metric. Zbl 0123.31302Krejn, M. G. 4 1964 On a fundamental approximation problem in the theory of extrapolation and filtration of stationary random processes. Zbl 0168.17307Krein, M. G. 10 1963 The spectral function of a selfadjoint operator in a space with indefinite metric. Zbl 0131.12604Krejn, M. G.; Langer, G. K. 7 1963 Hamiltonian systems of linear differential equations with periodic coefficients. Zbl 0121.40806Krein, M. G.; Yakubovich, V. A. 5 1963 Spectral theory of operators in spaces with an indefinite metric. II. Translated by J. L. B. Cooper. Zbl 0132.35602Iokhvidov, I. S.; Krejn, M. G. 4 1963 ...and 118 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,550 Authors 59 Sukochev, Fedor Anatol’evich 50 Alpay, Daniel Aron 49 Gohberg, Israel 45 Langer, Heinz 41 Gesztesy, Fritz 40 Malamud, Mark M. 38 Rodman, Leiba X. 36 Dym, Harry 33 Fritzsche, Bernd 33 Kirstein, Bernd 33 Kittaneh, Fuad 31 Gil’, Michael Iosif 29 Behrndt, Jussi 28 Woracek, Harald 26 Derkach, Volodymyr Oleksandrovych 26 Sakhnovich, Alexander L. 25 Dijksma, Aad 23 Arov, Damir Zyamovich 23 Zanin, Dmitriy V. 22 Peller, Vladimir Vsevolodovich 21 Kostenko, Aleksey S. 20 Nazarov, Sergeĭ Aleksandrovich 20 Neidhardt, Hagen 20 Simon, Barry 20 Xia, Jingbo 19 Arlins’kyĭ, Yuriĭ Moĭseĭovych 19 de Snoo, Hendrik S. V. 19 Ran, André C. 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