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Kreĭn, Mark Grigor’evich

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Author ID: krein.mark-grigorevich Recent zbMATH articles by "Kreĭn, Mark Grigor’evich"
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
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
1,971 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

Publications by Year

Citations contained in zbMATH Open

218 Publications have been cited 6,078 times in 5,083 Documents Cited by Year
Introduction to the theory of linear nonselfadjoint operators. Zbl 0181.13504
Gohberg, I. C.; Krein, M. G.
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 0088.25103
Gantmacher, F. R.; Krein, M. G.
545
1960
Linear operators leaving invariant a cone in a Banach space. (Lineare Operatoren, die einen Kegel in einem Banachschen Raum invariant lassen.) Zbl 0030.12902
Kreĭn, M. G.; Rutman, M. A.
450
1948
Theory and applications of Volterra operators in Hilbert space. Zbl 0194.43804
Gohberg, 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 0029.14103
Kreĭn, M. G.
191
1947
Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem. Zbl 0248.47019
Adamjan, 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 0236.47034
Krein, 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 0412.30020
Krein, 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 0361.42014
Krein, M. G.; Nudel’man, A. A.
108
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 1002.74002
Gantmacher, F. R.; Krein, M. G.
106
2002
The method of symmetric and Hermitian forms in the theory of separation of the roots of algebraic equations. Zbl 0584.12018
Kreĭn, M. G.; Naĭmark, M. A.
92
1981
Introduction to the spectral theory of operators in spaces with an indefinite metric. Zbl 0506.47022
Iohvidov, I. S.; Krein, M. G.; Langer, H.
92
1982
On the spectral functions of the string. Zbl 0291.34017
Kac, I. S.; Krein, M. G.
89
1974
On the trace formula in perturbation theory. (Über die Spurformel in der Störungstheorie.) Zbl 0052.12303
Kreĭn, M. G.
88
1953
Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems. Zbl 0174.45203
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
87
1968
Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\). Zbl 0236.47035
Krein, M. G.; Langer, G. K.
83
1972
Integral equations on a half-line with kernel depending upon the difference of the arguments. Zbl 0119.09601
Kreĭn, M. G.
83
1962
R-functions - analytic functions mapping the upper halfplane into itself. Zbl 0291.34016
Kac, I. S.; Krein, M. G.
82
1974
On extreme points of regular convex sets. Zbl 0063.03360
Krein, M.; Milman, D.
75
1940
The basic propositions on defect numbers, root numbers and indices of linear operators. Zbl 0089.32201
Gokhberg, 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 0066.33404
Krejn, M. G.
70
1955
Fundamental aspects of the representation theory of Hermitian operators with deficiency index (\(m,m\)). Zbl 0258.47025
Krein, M. G.
69
1949
Description of contraction operators which are similar to unitary operators. Zbl 0161.11601
Gokhberg, 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 0138.07803
Gohberg, I. C.; Kreĭn, M. G.
60
1965
Systems of integral equations on a half line with kernels depending on the difference of arguments. Zbl 0098.07501
Gokhberg, I. Ts.; Krejn, M. G.
58
1960
Über die Q-Funktion eines \(\pi\)-hermiteschen Operators im Raume \(\pi_\varkappa\). Zbl 0276.47036
Krein, M. G.; Langer, H.
58
1973
Some questions in the theory of moments. Zbl 0117.32702
Akhiezer, N. I.; Kreĭn, M. G.
57
1962
Fundamental aspects of defect numbers, root numbers and indexes of linear operators. Zbl 0088.32101
Gokhberg, 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 0041.35502
Gantmacher, 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 0492.30035
Krein, M. G.; Langer, H.
43
1981
Infinite Hankel block matrices and related extension problems. Zbl 0386.15019
Adamyan, 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 0243.47023
Adamjan, 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 0151.11202
Krein, M. G.
36
1957
On the theory of wave operators and scattering operators. Zbl 0196.45004
Birman, M. Sh.; Kreĭn, M. G.
34
1962
On some mathematical principles in the linear theory of damped oscillations of continua II. Zbl 0401.47018
Krein, M. G.; Langer, H.
34
1978
Sur le problème du prolongement des fonctions hermitiennes positives et continues. Zbl 0022.35302
Krein, M.
33
1940
Problem of search of the minimum of entropy in indeterminate extension problems. Zbl 0484.46060
Arov, D. Z.; Krejn, M. G.
31
1981
On the theory of triangular representations of non-selfadjoint operators. Zbl 0106.08905
Gohberg, I. C.; Kreĭn, M. G.
29
1961
On some mathematical principles in the linear theory of damped oscillations of continua I. Zbl 0401.47017
Krein, 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 0423.47008
Krein, M. G.; Langer, H.
28
1978
A contribution to the theory of entire functions of exponential type. Zbl 0033.36501
Krein, Mark Grigorevich
27
1947
Sur les matrices completement non négatives et oscillatoires. Zbl 0017.00102
Gantmakher, F.; Krein, M.
25
1937
Continuation of Hermitian positive definite functions and related questions. Zbl 1306.47022
Krein, Mark G.; Langer, Heinz
24
2014
Concerning the resolvents of an Hermitian operator with the deficiency- index (m, m). Zbl 0063.03358
Krein, M.
23
1946
On the computation of entropy functionals and their minima in indeterminate extension problems. Zbl 0556.47013
Arov, D. Z.; Kreĭn, M. G.
23
1983
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 0041.05602
Kreĭn, M. G.
22
1950
Sur les matrices complètement non négatives et oscillatoires. JFM 63.0038.04
Gantmakher, 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 0507.47021
Kreijn, Mark Grigor’evich; Langer, Heinz
22
1979
Über eine Verallgemeinerung von Untersuchungen von Stieltjes. Zbl 0049.34702
Kreĭn, M. G.
21
1952
On regularly convex sets in the space conjugate to a Banach space. Zbl 0024.41305
Krein, M.; Šmulian, V.
20
1940
On a problem of extrapolation of A. N. Kolmogoroff. Zbl 0063.03356
Krein, M.
20
1945
Propriétés fondamentales des ensembles coniques normaux dans l’espace de Banach. Zbl 0024.12202
Krein, M.
18
1940
On a general method of decomposing Hermite -positive nuclei into elementary products. Zbl 0063.03359
Krein, M.
18
1946
Infinite Hankel matrices and generalized Caratheodory-Fejer and I. Schur problems. Zbl 0179.46701
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
17
1968
On extreme points of regular convex sets. JFM 66.0533.01
Krein, M.; Milman, D.
17
1940
Basic theorems on defect numbers, root numbers and indices of linear operators. Zbl 0365.47001
Gohberg, I. C.; Krein, M. G.
17
1977
Introduction to the geometry of indefinite J-spaces and to the theory of operators in those spaces. Zbl 0206.11906
Krejn, M. G.
16
1970
Sur la décomposition des fonctionnelles en composantes positives. Zbl 0022.35902
Grosberg, J.; Krein, M.
16
1939
Über die verallgemeinerten Resolventen und die charakteristische Funktion eines isometrischen Operators im Raume \(\Pi_\varkappa\). Zbl 0273.47018
Krein, M. G.; Langer, H.
16
1972
Perturbation determinants and a formula for the traces of unitary and selfadjoint operators. Zbl 0191.15201
Krejn, M. G.
15
1962
On Hermitian operators whose deficiency indices are one. Zbl 0063.03349
Krein, M.
15
1944
On a remarkable class of Hermitian operators. Zbl 0063.03351
Krein, M.
14
1944
Compact linear operators on functional spaces with two norms. Zbl 0914.47002
Krein, M. G.
14
1998
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 0057.35002
Kreĭn, M. G.
13
1954
On Hermitian operators deficiency indices are one. II. Zbl 0063.03350
Krein, M.
13
1944
On regularly convex sets in the space conjugate to a Banach space. JFM 66.0533.02
Krein, M.; Šmulian, V.
13
1940
Sur quelques points de la théorie de la meilleure approximation des fonctions périodiques. JFM 64.0244.02
Krein, M.
13
1938
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.
13
1983
On the problem of continuation of helical arcs in Hilbert space. Zbl 0063.03354
Krein, M.
12
1944
The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications. I. Zbl 0167.13403
Krein, M. G.
12
1968
A note on basis in Banach space. Zbl 0023.13105
Krein, M.; Milman, D.; Rutman, M. A.
11
1940
On the theory of accelerants and \(S\)-matrices of canonical differential systems. Zbl 0075.27302
Kreĭn, 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 0384.47006
Kreĭn, M. G.; Ovcharenko, I. E.
10
1977
Stability of solutions of differential equations in Banach space. Translated from the Russian by S. Smith. Zbl 0286.34094
Daletskij, Yu. L.; Krejn, M. G.
10
1974
On a fundamental approximation problem in the theory of extrapolation and filtration of stationary random processes. Zbl 0168.17307
Krein, M. G.
10
1963
Spektraltheorie der Operatoren in Räumen mit indefiniter Metrik. I. Zbl 0072.13401
Iokhvidov, I. S.; Kreĭn, M. G.
9
1956
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 0608.47038
Kreĭn, Mark G.; Langer, Heinz
9
1985
Foundations of the theory of lambda-zones of stability of a canonical system of linear differential equations with periodic coefficients. Zbl 0516.34049
Krejn, 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 0265.42006
Kreĭn, M. G.; Nudel’man, A. A.
9
1973
Angular localization of the spectrum of a multiplicative integral in a Hilbert space. Zbl 0182.17402
Krein, M. G.
8
1969
Sur les matrices oscillatoires. Zbl 0012.28903
Gantmacher, F.; Krein, M.
8
1935
Sur la meilleure approximation des fonctions périodiques derivables au moyen de sommes trigonométriques. Zbl 0016.30001
Achyeser, N.; Krein, M.
8
1937
On an inner characteristic of the set of all continuous functions defined on a bicompact Hausdorff space. Zbl 0023.32701
Krein, Mark; Krein, Selim
8
1940
Sur l’espace des fonctions continues definies sur un bicompact de Hausdorff et ses sous-espaces semiordonnes. Zbl 0060.26701
Krein, Mark; Krein, Selim
8
1943
On a generalization of some investigations of G. Szegö, V. Smirnoff and K. Kolmogoroff. Zbl 0063.03355
Krein, M.
8
1945
Spectral theory of operators in spaces with an indefinite metric. I. Zbl 0089.10803
Iokhvidov, I. S.; Krejn, M. G.
8
1960
On an inner characteristic of the set of all continuous functions defined on a bicompact Hausdorff space. JFM 66.0529.02
Krein, M.; Krein, S.
8
1940
Die Anordnung der Nullstellen von Polynomen, die auf der Einheitskreisperipherie orthogonal mit alternierendem Gewicht sind. Zbl 0257.30002
Krein, M. G.
8
1966
Criteria for the discreteness of the spectrum of a singular string. Zbl 1469.34111
Kac, I. S.; Kreĭn, M. G.
8
1958
Zur Theorie der S-Matrizen mit summierbarem Potential. Zbl 0188.39506
Krein, M. G.; Melik-Adamjan, F. E.
7
1968
On the logarithm of an infiniteley decomposible Hermite-positive function. Zbl 0063.03353
Krein, M.
7
1944
Sur le problème du prolongement des fonctions Hermitiennes positives et continues. JFM 66.0512.03
Krein, M.
7
1940
Sur les matrices oscillatoires. JFM 61.0070.03
Gantmacher, F.; Krein, M.
7
1935
\(Q\)-functions and SC-resolvents of nondensely defined Hermitian contractions. Zbl 0409.47013
Kreĭn, M. G.; Ovcharenko, I. E.
7
1978
Determinants of a perturbation and the trace formula for some classes of operator pairs. Zbl 0632.47010
Kreĭn, M. G.
7
1987
The spectral shift function arising from perturbations of a positive operator. Zbl 0505.47016
Krejn, M. G.; Yavryan, V. A.
7
1981
On a pair integral equation and its transpose. Zbl 0512.45003
Gohberg, I. C.; Krein, M. G.
7
1983
The spectral function of a selfadjoint operator in a space with indefinite metric. Zbl 0131.12604
Krejn, M. G.; Langer, G. K.
7
1963
Brief an die Redaktion. Zbl 0184.16401
Iohvidov, I. S.; Krein, M. G.
6
1966
On entire almost periodic functions of exponential type. (Über ganze fastperiodische Funktionen von Exponentialtypus.) Zbl 0035.17401
Kreĭn, M. G.; Levin, B. Ya.
6
1949
Continuation of Hermitian positive definite functions and related questions. Zbl 1306.47022
Krein, Mark G.; Langer, Heinz
24
2014
Modified Krein formula and analytic perturbation procedure for scattering on arbitrary junction. Zbl 1186.35126
Adamyan, 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 1002.74002
Gantmacher, F. R.; Krein, M. G.
106
2002
Compact linear operators on functional spaces with two norms. Zbl 0914.47002
Krein, M. G.
14
1998
An interpolation problem in the class of Stieltjes functions and its connection with other problems. Zbl 0908.30036
Kreĭn, M. G.; Nudel’man, A. A.
6
1998
On the theory of entire matrix-functions of exponential type. Zbl 0956.30015
Krein, M. G.
4
1997
On the theory of inverse problems for the canonical differential equation. Zbl 0858.47009
Krein, 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 0882.01023
Kreĭn, M. G.
2
1993
On special representations of polynomials that are positive on a system of closed intervals, and some applications. Zbl 0989.41505
Kreĭn, M. G.; Levin, B. Ya.; Nudel’man, A. A.
5
1990
On some spectral properties of nonhomogeneous strings with dissipative boundary condition. Zbl 0715.34138
Kreĭn, M. G.; Nudel’man, A. A.
6
1989
On a special representation of polynomials that are positive on a system of closed intervals. Zbl 0698.26005
Kreĭn, 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 0632.47010
Kreĭn, M. G.
7
1987
On a supplement to the paper ”Wiener-Hopf equations whose kernels admit an integral representation in terms of exponents”. Zbl 0621.45002
Krein, 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 0608.47038
Kreĭn, Mark G.; Langer, Heinz
9
1985
Integral Hankel operators and related continuation problems. Zbl 0587.47035
Krejn, M. G.; Melik-Adamyan, F. Eh.
2
1984
Integral Hankel operators and related continuation problems. Zbl 0563.47021
Kreĭn, M. G.; Melik-Adamyan, F. È.
2
1984
On the computation of entropy functionals and their minima in indeterminate extension problems. Zbl 0556.47013
Arov, 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 0512.45001
Krein, M. G.
13
1983
Foundations of the theory of lambda-zones of stability of a canonical system of linear differential equations with periodic coefficients. Zbl 0516.34049
Krejn, M. G.
9
1983
On a pair integral equation and its transpose. Zbl 0512.45003
Gohberg, I. C.; Krein, M. G.
7
1983
Some generalizations of Szegö’s first limit theorem. Zbl 0582.15008
Krejn, 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 0599.45002
Krein, M. G.
2
1983
On tests for stable boundedness of solutions of periodic canonical systems. Zbl 0516.34034
Krejn, M. G.
2
1983
Introduction to the spectral theory of operators in spaces with an indefinite metric. Zbl 0506.47022
Iohvidov, I. S.; Krein, M. G.; Langer, H.
92
1982
On the theory of inverse problems for the canonical differential equation. Zbl 0491.30037
Krejn, 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 0584.12018
Kreĭn, M. G.; Naĭmark, M. A.
92
1981
Some propositions on analytic matrix functions related to the theory of operators in the space Pi//chi. Zbl 0492.30035
Krein, M. G.; Langer, H.
43
1981
Problem of search of the minimum of entropy in indeterminate extension problems. Zbl 0484.46060
Arov, D. Z.; Krejn, M. G.
31
1981
The spectral shift function arising from perturbations of a positive operator. Zbl 0505.47016
Krejn, 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 0507.47022
Kreijn, Mark Grigor’evich; Langer, Heinz
6
1981
Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008
Bogolyubov, 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 0507.47021
Kreijn, Mark Grigor’evich; Langer, Heinz
22
1979
On direct and inverse problems for the boundary dissipation frequencies of a nonuniform string. Zbl 0442.34024
Krejn, M. G.; Nudel’man, A. A.
2
1979
Infinite Hankel block matrices and related extension problems. Zbl 0386.15019
Adamyan, 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 0401.47018
Krein, M. G.; Langer, H.
34
1978
On some mathematical principles in the linear theory of damped oscillations of continua I. Zbl 0401.47017
Krein, 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 0423.47008
Krein, M. G.; Langer, H.
28
1978
\(Q\)-functions and SC-resolvents of nondensely defined Hermitian contractions. Zbl 0409.47013
Kreĭn, M. G.; Ovcharenko, I. E.
7
1978
Inverse problems for Q-functions and resolvent matrices of positive hermitian operators. Zbl 0443.47026
Krejn, M. G.; Ovcharenko, I. E.
6
1978
Über meßbare Hermitesch-positive Funktionen. Zbl 0367.28004
Krein, M. G.
3
1978
Measurable Hermitian positive functions. Zbl 0403.28005
Krein, 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 0412.30020
Krein, 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 0361.42014
Krein, M. G.; Nudel’man, A. A.
108
1977
Basic theorems on defect numbers, root numbers and indices of linear operators. Zbl 0365.47001
Gohberg, 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 0384.47006
Kreĭn, M. G.; Ovcharenko, I. E.
10
1977
On an interpolation problem related to the Stieltjes moment problem. Zbl 0383.30022
Krein, M. G.; Nudel’man, A. A.
5
1977
On factorization of matrix-valued functions on the unit circle. Zbl 0374.46042
Krein, M. G.; Spitkovskii, I. M.
1
1977
On the indefinite power moment problem. Zbl 0337.44005
Krein, M. G.; Langer, G. K.
6
1976
On the theory of generalized resolvents of nondensely defined Hermitian contractions. Zbl 0334.47019
Kreĭn, M. G.; Ovcharenko, I. E.
4
1976
On generalized resolvents and resolvent matrices of positive Hermitian operators. Zbl 0362.47009
Kreĭn, 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 0328.41018
Krein, M. G.; Nudel’man, P. Ja.
5
1975
On the spectral functions of the string. Zbl 0291.34017
Kac, I. S.; Krein, M. G.
89
1974
R-functions - analytic functions mapping the upper halfplane into itself. Zbl 0291.34016
Kac, I. S.; Krein, M. G.
82
1974
Stability of solutions of differential equations in Banach space. Translated from the Russian by S. Smith. Zbl 0286.34094
Daletskij, Yu. L.; Krejn, M. G.
10
1974
On linear-fractional transformations with operator coefficients. Zbl 0283.47017
Krejn, M. G.; Shmul’yan, Yu. L.
3
1974
Cebysev-Markov inequalities in the theory of the spectral functions of the vibrating string. Zbl 0285.34018
Krein, M. G.
2
1974
Über die Q-Funktion eines \(\pi\)-hermiteschen Operators im Raume \(\pi_\varkappa\). Zbl 0276.47036
Krein, M. G.; Langer, H.
58
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 0265.42006
Kreĭn, 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 0294.30027
Krein, M. G.; Nudel’man, P. Ja.
3
1973
Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem. Zbl 0248.47019
Adamjan, 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 0236.47035
Krein, M. G.; Langer, G. K.
83
1972
Über die verallgemeinerten Resolventen und die charakteristische Funktion eines isometrischen Operators im Raume \(\Pi_\varkappa\). Zbl 0273.47018
Krein, M. G.; Langer, H.
16
1972
Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\). Zbl 0236.47034
Krein, M. G.; Langer, G. K.
128
1971
Analytische Eigenschaften von Schmidtschen Paaren des Hankelschen Operators und das verallgemeinerte Problem von Schur-Takagi. Zbl 0243.47023
Adamjan, V. M.; Arov, D. Z.; Krein, M. G.
39
1971
Naum Il’ich Akhiezer (on his seventieth birthday). Zbl 0221.01007
Berezanskiĭ, Yu. M.; Kolmogorov, A. N.; Krein, M. G.; Levin, B. Ya.; Levitan, B. M.; Marchenko, V. A.
1
1971
Unendliche Hankelsche Blockmatrizen und mit ihnen zusammenhängende Fortsetzungsprobleme. Zbl 0311.15012
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
1
1971
Theory and applications of Volterra operators in Hilbert space. Zbl 0194.43804
Gohberg, 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 0206.11906
Krejn, M. G.
16
1970
Cebysev-Markovsche Ungleichungen in der Theorie der Spektralfunktionen einer Saite. Zbl 0238.34035
Krein, M. G.
6
1970
Stability of solutions of differential equations in Banach space. (Ustojchivost’ reshenij differentsial’nykh uravnenij v banakhovom prostranstve.). Zbl 0233.34001
Daletskij, Yu. L.; Krejn, M. G.
4
1970
On some results and problems of stability theory of solutions of differential equations in Banach space. Zbl 0242.34052
Krejn, M. G.; Daletskij, Yu. L.
4
1970
On some new Banach algebras and Wiener-Lévy type theorems for Fourier series and integrals. Zbl 0214.14202
Krejn, M. G.
1
1970
Some applications of the theorem on factorization of a unitary matrix. Zbl 0232.34010
Krejn, M. G.; Melik-Adamyan, F. E.
1
1970
Resolvent matrix of Hermitian operator and the characteristic functions related to it. Zbl 0258.47024
Krein, M. G.; Saakjan, S. N.
1
1970
Introduction to the theory of linear nonselfadjoint operators. Zbl 0181.13504
Gohberg, I. C.; Krein, M. G.
1969
Angular localization of the spectrum of a multiplicative integral in a Hilbert space. Zbl 0182.17402
Krein, M. G.
8
1969
General theorems on triangular representations of linear operators and multiplications of their characteristic functions. Zbl 0215.21101
Brodskij, 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 0198.48001
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
1
1969
Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems. Zbl 0174.45203
Adamyan, V. M.; Arov, D. Z.; Krejn, M. G.
87
1968
Infinite Hankel matrices and generalized Caratheodory-Fejer and I. Schur problems. Zbl 0179.46701
Adamyan, 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 0167.13403
Krein, M. G.
12
1968
Zur Theorie der S-Matrizen mit summierbarem Potential. Zbl 0188.39506
Krein, M. G.; Melik-Adamjan, F. E.
7
1968
Description of contraction operators which are similar to unitary operators. Zbl 0161.11601
Gokhberg, I. Ts.; Krein, M. G.
63
1967
Triangular representations of linear operators and the multiplicative representations of their characteristic functions. Zbl 0161.34505
Gokhberg, I. Ts.; Krejn, M. G.
2
1967
Die Anordnung der Nullstellen von Polynomen, die auf der Einheitskreisperipherie orthogonal mit alternierendem Gewicht sind. Zbl 0257.30002
Krein, M. G.
8
1966
Brief an die Redaktion. Zbl 0184.16401
Iohvidov, I. S.; Krein, M. G.
6
1966
Some new results in the theory of resolvents of Hermitian operators. Zbl 0193.10002
Krejn, M. G.; Saakyan, Sh. N.
4
1966
Plus-operators in a space with indefinite metric. Zbl 0201.16802
Kreĭn, M. G.; Shmul’yan, Yu. L.
4
1966
\(\mathfrak I\)-polar representation of plus-operators. Zbl 0201.16803
Kreĭn, M. G.; Shmul’yan, Yu. L.
4
1966
On the factorization of operators in Hilbert space. Zbl 0192.23004
Gokhberg, 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 0138.07803
Gohberg, I. C.; Kreĭn, M. G.
60
1965
Über einige mathematische Prinzipien der linearen Theorie der gedämpften Schwingungen der Kontinua. Zbl 0236.47032
Krein, M. G.; Langer, G. K.
3
1965
Feliks Ruvimovich Gantmakher. Obituary. Zbl 0127.00604
Aĭzerman, 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 0149.08704
Krein, M. G.
1
1965
A contribution to the theory of quadratic pencils of self-adjoint operators. Zbl 0198.47102
Krejn, 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 0123.31302
Krejn, M. G.
4
1964
On a fundamental approximation problem in the theory of extrapolation and filtration of stationary random processes. Zbl 0168.17307
Krein, M. G.
10
1963
The spectral function of a selfadjoint operator in a space with indefinite metric. Zbl 0131.12604
Krejn, M. G.; Langer, G. K.
7
1963
Hamiltonian systems of linear differential equations with periodic coefficients. Zbl 0121.40806
Krein, 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 0132.35602
Iokhvidov, I. S.; Krejn, M. G.
4
1963
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49 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
27 Woracek, Harald
26 Sakhnovich, Alexander L.
25 Derkach, Vladimir Alexandrovich
25 Dijksma, Aad
23 Arov, Damir Zyamovich
23 Zanin, Dmitriy V.
22 Peller, Vladimir Vsevolodovich
21 Kostenko, Aleksey S.
20 Neidhardt, Hagen
20 Simon, Barry
19 Arlins’kyĭ, Yuriĭ Moĭseĭovych
19 de Snoo, Hendrik S. V.
19 Nazarov, Sergeĭ Aleksandrovich
19 Ran, André C. M.
18 Durán, Antonio José
18 Tsekanovskii, Eduard R.
18 Xia, Jingbo
17 Kaashoek, Marinus Adriaan
17 Marek, Ivo
17 Putinar, Mihai
16 Hassi, Seppo
16 Lancaster, Peter
16 Tretter, Christiane
15 Albeverio, Sergio A.
15 Foiaş, Ciprian Ilie
15 Johnson, Charles Royal
15 Jørgensen, Palle E. T.
15 Ugurlu, Ekin
15 Winkler, Henrik
14 Bolotnikov, Vladimir
14 Carey, Alan L.
14 Fan, Ky
14 Korotyaev, Evgeny L.
14 Nussbaum, Roger David
14 Potapov, Denis
14 Pushnitski, Alexander B.
14 Sabadini, Irene
14 Skripka, Anna
13 Colombo, Fabrizio
13 Dziok, Jacek
13 Hirzallah, Omar
13 Shkalikov, Andreĭ Andreevich
13 Sklyar, Grigory Mikhailovitch
13 Widom, Harold
13 Zhang, Meirong
12 Bairamov, Elgiz
12 Bikchentaev, Aĭrat Midkhatovich
12 Dostanić, Milutin R.
12 Friedland, Shmuel
12 Karlin, Samuel
12 Lerer, Leonid Efimovich
12 Maestripieri, Alejandra L.
12 Mogilevskii, Vadim
12 Shakhmurov, Veli B.
12 Silva, Luis O.
12 Tannenbaum, Allen Robert
11 Bhatia, Rajendra
11 Chen, Gongning
11 Jocić, Danko R.
11 Kreĭn, Mark Grigor’evich
11 Luger, Annemarie
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11 Teschl, Gerald
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10 Arazy, Jonathan
10 Choque Rivero, Abdon Eddy
10 Derevyagin, Maxim S.
10 Dodds, Peter G.
10 Faierman, Melvin
10 Glover, Keith
10 Hu, Yongjian
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10 Makarov, Konstantin A.
10 Meng, Gang
10 Pinkus, Allan M.
10 Yakubov, Sasun Ya.
10 Zinchenko, Maxim
9 Azizov, Tomas Ya.
9 Cohen, Joel E.
9 Druskin, Vladimir
9 Eckhardt, Jonathan
9 Gemignani, Luca
9 Grünbaum, Francisco Alberto
9 Hansmann, Marcel
9 Helton, John William
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28 Field theory and polynomials (12-XX)
25 History and biography (01-XX)
22 Group theory and generalizations (20-XX)
21 Commutative algebra (13-XX)
17 Manifolds and cell complexes (57-XX)
16 Order, lattices, ordered algebraic structures (06-XX)
16 Associative rings and algebras (16-XX)
15 Sequences, series, summability (40-XX)
11 General and overarching topics; collections (00-XX)
11 Geometry (51-XX)
10 Algebraic topology (55-XX)
10 Relativity and gravitational theory (83-XX)
9 Category theory; homological algebra (18-XX)
9 \(K\)-theory (19-XX)
8 Nonassociative rings and algebras (17-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Mathematical logic and foundations (03-XX)
6 Geophysics (86-XX)
4 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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