Mark Krein

Q: What Schools Are Affiliated With Mark Krein

Mark Krein is affiliated with the following schools: Odesa State Academy of Civil Engineering and Architecture, Kryvyi Rih National University, Samara State Technical University, Odesa Maritime Academy, Odesa University

Mark Krein's AcademicInfluence.com Rankings

Mark Krein

Mathematics

#717

Historical Rank

Measure Theory

#1385

Historical Rank

mathematics Degrees

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Mathematics

Why Is Mark Krein Influential?

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According to Wikipedia, Mark Grigorievich Krein was a Soviet mathematician, one of the major figures of the Soviet school of functional analysis. He is known for works in operator theory , the problem of moments, classical analysis and representation theory.

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Mark Krein's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Introduction to the theory of linear nonselfadjoint operators (1969) (3326)
Stability of Solutions of Differential Equations in Banach Spaces (1974) (1330)
Linear operators leaving invariant a cone in a Banach space (1950) (1114)
The Markov Moment Problem and Extremal Problems (1977) (965)
ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM (1971) (700)
Some questions in the theory of moments (1962) (386)
Introduction to the spectral theory of operators in spaces with an indefinite metric (1982) (310)
On extreme points of regular convex sets (1940) (293)
The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations (1981) (192)
Infinite hankel matrices and generalized carathéodory — fejer and riesz problems (1968) (184)
Systems of integral equations on a half-line with kernels depending on the difference of arguments (1960) (165)
Integral equations on a half-line with kernels de-pending upon the difference of the arguments (1962) (123)
The Markov moment problem and extremal problems : ideas and problems of P.L. Čebyšev and A.A. Markov and their further development (1977) (117)
Defect subspaces and generalized resolvents of an Hermitian operator in the space Πϰ (1971) (101)
On some mathematical principles in the linear theory of damped oscillations of continua I (1978) (94)
On Regularly Convex Sets in the Space Conjugate to a Banach Space (1940) (91)
M.G. Krein's lectures on entire operators (1997) (86)
The Basic Propositions of the Theory of λ-Zones of Stability of a Canonical System of Linear Differential Equations with Periodic Coefficients (1983) (84)
On some mathematical principles in the linear theory of damped oscilations of continua II (1978) (83)
Defective subspaces and generalized resolvents of an Hermitian operator in the space Πϰ (1971) (70)
Problem of search of the minimum of entropy in indeterminate extension problems (1981) (62)
Topics in differential and integral equations and operator theory (1983) (61)
Introduction to the geometry of indefinite -spaces and to the theory of operators in those spaces (1970) (59)
Compact linear operators on functional spaces with two norms (1998) (44)
In nite Hankel block matrices and related extension problems (1978) (43)
Angular localization of the spectrum of a multiplicative integral in a Hilbert space (1969) (38)
On Certain New Studies in the Perturbation Theory for Selfadjoint Operators (1983) (33)
Infinite Hankel matrices and generalized caretheodory-fejer and I. schur Problems (1968) (33)
Description of contraction operators which are similar to unitary operators (1967) (24)
FUNDAMENTAL THEOREMS ON THE EXTENSION OF HERMITIAN OPERATORS AND SOME OF THEIR APPLICATIONS TO THE THEORY OF ORTHOGONAL POLYNOMIALS AND TO THE PROBLEM OF MOMENTS (1968) (24)
On the theory of entire matrix-functions of exponential type (1997) (23)
On some new Banach algebras and Wiener-Levy type theorems for Fourier series and integrals (1970) (20)
General theorems on triangular representations of linear operators and multiplications of their characteristic functions (1969) (18)
An interpolation problem in the class of stieltjes functions and its connection with other problems (1998) (16)
Bounded operators that commute with a contraction of class C00 of unit rank of nonunitarity (1969) (13)
On tests for stable boundedness of solutions of periodic canonical systems (1983) (13)
On the theory of transmission bands of periodic waveguides (1961) (12)
Measurable Hermitian-positive functions (1978) (12)
Four Papers on Ordinary Differential Equations (1983) (9)
Determination and fundamental properties of the characteristic function of ay-node (1970) (9)
ON THE DEFECT INDICES OF LINEAR OPERATORS IN BANACH SPACE AND ON SOME GEOMETRIC QUESTIONS (1967) (8)
Resolvent matrix of Hermitian operator and the characteristic functions related to it (1970) (7)
A Contribution to the Theory of S-Matrices of Canonical Differential Equations with Summable Potential (1983) (6)
Some applications of the theorem on factorization of a unitary matrix (1970) (6)
On the Theory of Inverse Problems for the Canonical Differential Equation (1994) (6)
Some propositions of the fourier - plancherel and paley - wiener type obtained by methods in the spectral theory of functions (1979) (4)
On Nonlinear Integral Equations which Play a Role in the Theory of Wiener-Hopf Equations. I, II (1983) (4)
On a Pair Integral Equation and its Transpose (1983) (4)
Seventeen Papers on Analysis (1963) (3)
Thirteen Papers on Functional Analysis and Partial Differential Equations (1965) (3)
New Inequalities for the Characteristic Numbers of Integral Equations with Smooth Kernels (1983) (3)
ANGULAR LOCALIZATION OF THE SPECTRUM (1969) (2)
Eleven Papers on Analysis, Probability and Topology (1959) (2)
Twelve Papers on Functional Analysis and Geometry (1969) (2)
A remark on a theorem in the paper of B. A. Yakubovich titled “A frequency theorem for the case when..., II” (1977) (1)
Eleven Papers on Logic, Algebra, Analysis and Topology (1971) (1)
A hypothesis of A. M. Lyapunov (1973) (0)
Eleven Papers on Differential Equations, Functional Analysis and Measure Theory (1966) (0)
THE S-MATRIX THEORY OF DIFFERENTIAL EQUATIONS WITH INTEGRABLE POTENTIAL. (1968) (0)
Nine papers in analysis (1962) (0)
7.6. Approximation of functions of class L∞ by functions of the class H∞+C (1984) (0)
Nine Papers on Partial Differential Equations and Functional Analysis (1967) (0)
Fifteen Papers on Analysis (1966) (0)
Hankel and toeplitz operators (1984) (0)

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What Schools Are Affiliated With Mark Krein?

Mark Krein is affiliated with the following schools:

Mark Krein's Academic­Influence.com Rankings