Kreĭn, M. G. (Mark Grigorʹevich) 19071989
Overview
Works:  104 works in 362 publications in 8 languages and 4,870 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Honoree, Dedicatee, Editor, Other 
Publication Timeline
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Most widely held works about
M. G Kreĭn
 Mark Grigorʹevich Kreĭn : biobibliograficheskiĭ ukazatel by I. E Rykun( Book )
 Knyhy z avtohrafamy u fondakh Odesʹkoï derz︠h︡avnoï naukovoï biblioteky imeni M. Horʹkoho : zbirka M.H. Kreĭna ; kataloh( Book )
Most widely held works by
M. G Kreĭn
Introduction to the theory of linear nonselfadjoint operators by
I Gohberg(
Book
)
22 editions published between 1969 and 1988 in English and held by 474 WorldCat member libraries worldwide
22 editions published between 1969 and 1988 in English and held by 474 WorldCat member libraries worldwide
Some questions in the theory of moments by
N. I Akhiezer(
Book
)
24 editions published between 1962 and 1994 in English and Undetermined and held by 416 WorldCat member libraries worldwide
24 editions published between 1962 and 1994 in English and Undetermined and held by 416 WorldCat member libraries worldwide
Theory and applications of Volterra operators in Hilbert space by
I Gohberg(
Book
)
17 editions published between 1970 and 2004 in English and held by 400 WorldCat member libraries worldwide
17 editions published between 1970 and 2004 in English and held by 400 WorldCat member libraries worldwide
Stability of solutions of differential equations in Banach space by
I︠U︡. L Dalet︠s︡kiĭ(
Book
)
16 editions published between 1974 and 2004 in English and held by 383 WorldCat member libraries worldwide
16 editions published between 1974 and 2004 in English and held by 383 WorldCat member libraries worldwide
The Markov moment problem and extremal problems : ideas and problems of P.L. Čebyšev and A.A. Markov and their further development by
M. G Kreĭn(
Book
)
18 editions published between 1977 and 2001 in English and Spanish and held by 325 WorldCat member libraries worldwide
18 editions published between 1977 and 2001 in English and Spanish and held by 325 WorldCat member libraries worldwide
Topics in functional analysis : essays dedicated to M.G. Krein on the occasion of his 70th birthday(
Book
)
14 editions published in 1978 in English and held by 297 WorldCat member libraries worldwide
14 editions published in 1978 in English and held by 297 WorldCat member libraries worldwide
Topics in differential and integral equations and operator theory by
M. G Kreĭn(
Book
)
14 editions published in 1983 in 3 languages and held by 273 WorldCat member libraries worldwide
In this volume three important papers of M.G. Krein appear for the first time in English translation. Each of them is a short selfcontained monograph, each a masterpiece of exposition. Although two of them were written more than twenty years ago, the passage of time has not decreased their value. They are as fresh and vital as if they had been written only yesterday. These papers contain a wealth of ideas, and will serve as a source of stimulation and inspiration for experts and beginners alike. The first paper is dedicated to the theory of canonical linear differential equations, with periodic coefficients. It focuses on the study of linear Hamiltonian systems with bounded solutions which stay bounded under small perturbations of the system. The paper uses methods from operator theory in finite and infinite dimensional spaces and complex analysis. For an account of more recent literature which was generated by this paper see AMS Translations (2), Volume 93, 1970, pages 103176 and Integral Equations and Operator Theory, Volume 5, Number 5, 1982, pages 718757
14 editions published in 1983 in 3 languages and held by 273 WorldCat member libraries worldwide
In this volume three important papers of M.G. Krein appear for the first time in English translation. Each of them is a short selfcontained monograph, each a masterpiece of exposition. Although two of them were written more than twenty years ago, the passage of time has not decreased their value. They are as fresh and vital as if they had been written only yesterday. These papers contain a wealth of ideas, and will serve as a source of stimulation and inspiration for experts and beginners alike. The first paper is dedicated to the theory of canonical linear differential equations, with periodic coefficients. It focuses on the study of linear Hamiltonian systems with bounded solutions which stay bounded under small perturbations of the system. The paper uses methods from operator theory in finite and infinite dimensional spaces and complex analysis. For an account of more recent literature which was generated by this paper see AMS Translations (2), Volume 93, 1970, pages 103176 and Integral Equations and Operator Theory, Volume 5, Number 5, 1982, pages 718757
Oscillation matrices and kernels and small vibrations of mechanical systems by
F. R Gantmakher(
Book
)
14 editions published between 1950 and 2002 in English and held by 183 WorldCat member libraries worldwide
14 editions published between 1950 and 2002 in English and held by 183 WorldCat member libraries worldwide
Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme by
F. R Gantmakher(
Book
)
11 editions published in 1960 in German and held by 178 WorldCat member libraries worldwide
11 editions published in 1960 in German and held by 178 WorldCat member libraries worldwide
Four papers on ordinary differential equations by
M. G Kreĭn(
Book
)
10 editions published in 1983 in English and Undetermined and held by 171 WorldCat member libraries worldwide
10 editions published in 1983 in English and Undetermined and held by 171 WorldCat member libraries worldwide
M.G. Krein's lectures on entire operators by
M. L Gorbachuk(
Book
)
2 editions published in 1997 in Hungarian and English and held by 161 WorldCat member libraries worldwide
This book is devoted to the theory of entire operators, founded one of the century's best known mathematicians, M.G. Krein. The theory lies at the junction of the spectral theory of Hermitian operators and the theory of analytic functions, harmoniously combining the methods of each. The purpose of the book is to show how various problems of classical and modern analysis can be looked at from the entire operator theory point of view. This is the first systematic presentation of basic concepts of Krein's theory and its applications. The present study of Krein's unpublished lectures and his works gives (over)due recognition to the unique approach he developed  an approach which for many years was not broadly known. The book is intended for researchers as well as graduate and postgraduate students interested in the spectral theory of operators, complex analysis, differential equations and extrapolation problems
2 editions published in 1997 in Hungarian and English and held by 161 WorldCat member libraries worldwide
This book is devoted to the theory of entire operators, founded one of the century's best known mathematicians, M.G. Krein. The theory lies at the junction of the spectral theory of Hermitian operators and the theory of analytic functions, harmoniously combining the methods of each. The purpose of the book is to show how various problems of classical and modern analysis can be looked at from the entire operator theory point of view. This is the first systematic presentation of basic concepts of Krein's theory and its applications. The present study of Krein's unpublished lectures and his works gives (over)due recognition to the unique approach he developed  an approach which for many years was not broadly known. The book is intended for researchers as well as graduate and postgraduate students interested in the spectral theory of operators, complex analysis, differential equations and extrapolation problems
Introduction à la théorie des opérateurs linéaires non autoadjoints dans un espace hilbertien by
I Gohberg(
Book
)
11 editions published in 1971 in French and English and held by 109 WorldCat member libraries worldwide
11 editions published in 1971 in French and English and held by 109 WorldCat member libraries worldwide
Introduction to the spectral theory of operators in spaces with an indefinite metric by
I. S Iokhvidov(
Book
)
7 editions published in 1982 in English and held by 103 WorldCat member libraries worldwide
7 editions published in 1982 in English and held by 103 WorldCat member libraries worldwide
Modern analysis and applications : the Mark Krein Centenary Conference by
V. M Adami︠a︡n(
Book
)
15 editions published in 2009 in English and held by 58 WorldCat member libraries worldwide
The International Conference on Modern Analysis and Applications, which was dedicated to the 100th anniversary of the birth of Mark Krein, one of the greatest mathematicians of the 20th century, was held in Odessa, Ukraine, on April 914, 2007. This title contains peerreviewed research and survey papers based on invited talks at this conference
15 editions published in 2009 in English and held by 58 WorldCat member libraries worldwide
The International Conference on Modern Analysis and Applications, which was dedicated to the 100th anniversary of the birth of Mark Krein, one of the greatest mathematicians of the 20th century, was held in Odessa, Ukraine, on April 914, 2007. This title contains peerreviewed research and survey papers based on invited talks at this conference
Teorii︠a︡ volʹterrovykh operatorov v gilʹbertovom prostranstve. i ee prilozhenii︠a︡ by
I Gohberg(
Book
)
4 editions published in 1967 in Russian and held by 57 WorldCat member libraries worldwide
4 editions published in 1967 in Russian and held by 57 WorldCat member libraries worldwide
Ustoĭchivostʹ resheniĭ different︠s︡ialʹnykh uravneniĭ v banakhovom prostranstve by
I︠U︡. L Dalet︠s︡kiĭ(
Book
)
5 editions published in 1970 in Russian and held by 38 WorldCat member libraries worldwide
5 editions published in 1970 in Russian and held by 38 WorldCat member libraries worldwide
Vvedenie v teorii︠u︡ lineĭnykh nesamosopri︠a︡zhennykh operatorov v gilʹbertovom prostranstve by
I Gohberg(
Book
)
3 editions published in 1965 in Russian and Slavic and held by 34 WorldCat member libraries worldwide
3 editions published in 1965 in Russian and Slavic and held by 34 WorldCat member libraries worldwide
Ost︠s︡illi︠a︡t︠s︡ionnye matrit︠s︡y i i︠a︡dra i malye kolebanii︠a︡ mekhanicheskikh sistem by
F. R Gantmakher(
Book
)
6 editions published in 1950 in Russian and held by 28 WorldCat member libraries worldwide
6 editions published in 1950 in Russian and held by 28 WorldCat member libraries worldwide
Problema momentov Markova i ekstremalʹnye zadachi. Idei i problemy P.L. Chebyshcheva i A.A. Markova i ikh dalʹneĭshee pazvitie by
M. G Kreĭn(
Book
)
2 editions published in 1973 in Russian and held by 25 WorldCat member libraries worldwide
2 editions published in 1973 in Russian and held by 25 WorldCat member libraries worldwide
Problema momentov Markova i ėkstremalʹnye zadači : idei i problemy P. L. Čebyševa i A. A. Markova i ich dalʹnejšee razvitie by
M. G Kreĭn(
Book
)
6 editions published in 1973 in Russian and Undetermined and held by 21 WorldCat member libraries worldwide
6 editions published in 1973 in Russian and Undetermined and held by 21 WorldCat member libraries worldwide
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Related Identities
 Gohberg, I. (Israel) 19282009 Author Editor
 Adami︠a︡n, V. M. Author Editor
 Dalet︠s︡kiĭ, I︠U︡. L. (I︠U︡riĭ Lʹvovich) Author
 Gantmakher, F. R. (Feliks Ruvimovich) Author
 Akhiezer, N. I. (Naum Ilʹich) 19011980 Author
 Nudelʹman, Adolʹf Abramovich
 Kac, Mark Editor
 I︠A︡kubovich, V. A. (Vladimir Andreevich)
 Gorbachuk, V. I. (Valentina Ivanovna)
 Gorbachuk, M. L. (Miroslav Lʹvovich) Author
Useful Links
Associated Subjects
Analytic functions Banach spaces Calculus, Operational Chebyshev polynomials Differential equations Differential equations, Linear Extremal problems (Mathematics) Functional analysis Global analysis (Mathematics) Hermitian operators Hilbert space Inequalities (Mathematics) Integral equations Kreĭn, M. G.(Mark Grigorʹevich), Linear operators Markov processes Mathematicians Mathematics Matrices Matrix mechanics Maxima and minima Mechanics, Analytic Metric spaces Moment spaces Nonselfadjoint operators Operator equations Operator theory Oscillations Selfadjoint operators Spectral theory (Mathematics) Stability Ukraine Vector analysis Vibration Volterra operators WienerHopf equations
Alternative Names
Kreǐn, M.
Krein, M., 19071989
Kreǐn, M. G.
Kreǐn, M.G. 1907
Kreǐn, M. G. 19071989
Krein, Mark 19071989
Krein, Mark G. 19071989
Kreǐn, Mark Grigorevič 19071989
Kreĭn, Mark Grigorʹevich 1907
Kreǐn, Mark Grigorʹevich 19071989
Krein, Mark Grigorievich.
Krein, Mark Grigorievich 19071989
Kreǐn, Mark Hryhorovych 19071989
Krein, Marko 19071989
Kreĭn, Marko Hryhorovych 19071989
Krejn, M.G.
Krejn, M.G. 1907
Krejn, M. G. 19071989
Krejn, Mark G.
Krejn, Mark Gregorevič, 19071989
Krejn, Mark Grigor'evič
Krejn, Mark Grigorʹevič 19071989
Krejn, Mark Grigorevitj, 19071989
Krejn, Mark Grigorovič 19071989
Krejn, Marko Grigorevitj, 19071989
Krejn, Marko Grigorovič, 19071989
Krejn, Marko H. 19071989
Krejn, Marko Hryhorovyč 19071989
Mark Grigorievič Krejn
Mark Grigorjewicz Krein
Mark Grigorjewitsch Krein sowjetischer Mathematiker
Mark Grigoryevich Krein matematico sovietico
Mark Krein
Mark Krein matemático ruso
Mark Krein mathématicien russe
Mark Krein Russian mathematician
Mark Krein Russisch wiskundige (19071989)
Mark Krein Ukrainian mathematician
Крейн, Марк Григорьевич
Крейн, Марк Григорьевич, 19071989
Крейн Марко Григорович
마르크 크레인
マーク・クレイン
馬克·克林
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