Izrail Moiseevich Gel'fand

Izrail Moiseevich Gel'fand's AcademicInfluence.com Rankings

Mathematics

#4838

World Rank

#6843

Historical Rank

Functional Analysis

#18

World Rank

#31

Historical Rank

Measure Theory

#487

World Rank

#692

Historical Rank

mathematics Degrees

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Mathematics

Izrail Moiseevich Gel'fand's Degrees

PhD Mathematics Moscow State University

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Izrail Moiseevich Gel'fand'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

On the determination of a differential equation from its spectral function (1955) (937)
Representations of the Rotation and Lorentz Groups and Their Applications (1965) (798)
Integration in Functional Spaces and its Applications in Quantum Physics (1960) (550)
SCHUBERT CELLS AND COHOMOLOGY OF THE SPACES G/P (1973) (531)
Generalized Functions, Volume 1: Properties and Operations (1967) (451)
Some problems in the theory of quasilinear equations (1987) (435)
Hamiltonian operators and algebraic structures related to them (1979) (423)
Asymptotic Behaviour of the Resolvent of Sturm-Liouville Equations and the Algebra of the Korteweg-De Vries Equations (1975) (420)
Fractional powers of operators and Hamiltonian systems (1976) (305)
Determinants of matrices over noncommutative rings (1991) (289)
Structure of representations generated by vectors of highest weight (1971) (277)
INDECOMPOSABLE REPRESENTATIONS OF THE LORENTZ GROUP (1968) (204)
DEFINITION AND SIMPLEST PROPERTIES OF GENERALIZED FUNCTIONS (1964) (192)
Hypergeometric functions and toral manifolds (1989) (190)
A theory of noncommutative determinants and characteristic functions of graphs (1992) (175)
On normed rings (1987) (155)
Lectures on Linear Algebra (1961) (149)
REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS (1975) (143)
Model algebras and representations of graphs (1979) (140)
The Schouten Bracket and Hamiltonian operators (1980) (139)
Selected Topics in Integral Geometry (2003) (136)
Combinatorial geometries and torus strata on homogeneous compact manifolds (1987) (135)
Integral geometry in affine and projective spaces (1982) (135)
The resolvent and Hamiltonian systems (1977) (133)
REPRESENTATIONS OF THE GROUP SL(2, R), WHERE R IS A RING OF FUNCTIONS (1973) (125)
PARTICULAR TYPES OF GENERALIZED FUNCTIONS (1964) (121)
The cohomologies of the lie algebra of the vector fields in a circle (1968) (116)
Hamiltonian operators and infinite-dimensional Lie algebras (1981) (107)
SOME METHODS OF CONTROL FOR COMPLEX SYSTEMS (1962) (102)
A Lie algebra structure in a formal variational calculation (1976) (97)
Generalized Functions, Volume 2: Spaces of Fundamental and Generalized Functions (1968) (93)
Algebraic bundles over Pn and problems of linear algebra (1978) (88)
Category ofg modules (1976) (84)
Remarks on the classification of a pair of commuting linear transformations in a finite-dimensional space (1969) (81)
COHOMOLOGY OF THE LIE ALGEBRA OF FORMAL VECTOR FIELDS (1970) (78)
Generalized Functions, Volume 4 (2016) (75)
Models of representations of classical groups and their hidden symmetries (1984) (71)
Crofton's function and inversion formulas in real integral geometry (1991) (71)
Combinatorial computation of characteristic classes (1975) (70)
Differential forms and integral geometry (1969) (69)
A formula for constructing infinitely many surfaces on Lie algebras and integrable equations (2000) (69)
Positive and Positive-Definite Generalized Functions (1964) (58)
Integrable nonlinear equations and the Liouville theorem (1979) (56)
DIFFERENTIAL OPERATORS ON A CUBIC CONE (1972) (55)
Hamiltonian operators and the classical Yang—Baxter equation (1982) (54)
Inversion method for magnetoencephalography (1996) (52)
Irreducible representations of the group GX and cohomologifs (1974) (52)
Generalized Random Processes (1964) (50)
Integral Geometry and Representation Theory (2014) (50)
Models of representations of compact Lie groups (1975) (49)
Complex manifolds whose skeletons are semisimple real Lie groups, and analytic discrete series of representations (1977) (48)
Heaviside functions of a configuration of hyperplanes (1987) (46)
Representations of the group of functions taking values in a compact Lie group (1980) (46)
Integral geometry on k-dimensional planes (1967) (46)
Representations of the group of smooth mappings of a manifold X into a compact Lie group (1977) (45)
RADON TRANSFORM OF TEST FUNCTIONS AND GENERALIZED FUNCTIONS ON A REAL AFFINE SPACE (1966) (42)
Cohomologies of the Lie algebra of formal vector fields with coefficients in its adjoint space and variations of characteristic classes of foliations (1974) (42)
CHAPTER II – FUNDAMENTAL AND GENERALIZED FUNCTIONS (1968) (41)
Algebraic and combinatorial aspects of the general theory of hypergeometric functions (1986) (41)
General hypergeometric functions on complex Grassmannians (1987) (41)
Poisson brackets and the kernel of the variational derivative in the formal calculus of variations (1976) (39)
Cohomologies of Lie algebra of tangential vector fields of a smooth manifold (1969) (39)
on Elliptic Equations (1960) (38)
Combinatorial calculation of characteristic classes (1975) (35)
A commutative model of representation of the group of flows SL(2, R)X that is connected with a unipotent subgroup (1983) (33)
The actions of infinite-dimensional Lie algebras (1972) (33)
SPACES OF TYPE W (1967) (31)
REPRESENTATIONS OF A GROUP OF MATRICES OF THE SECOND ORDER WITH ELEMENTS FROM A LOCALLY COMPACT FIELD, AND SPECIAL FUNCTIONS ON LOCALLY COMPACT FIELDS (1963) (31)
The calculus of jets and nonlinear Hamiltonian systems (1978) (31)
Cohomology of the Lie algebra of Hamiltonian formal vector fields (1972) (28)
The structure of the lie field connected with a split semisimple lie algebra (1969) (27)
Hypergeometric functions over an arbitrary field (2004) (27)
Generalized Functions, Volume 6: Representation Theory and Automorphic Functions (2016) (26)
The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations (1976) (26)
FREE MODULAR LATTICES AND THEIR REPRESENTATIONS (1974) (26)
Nonlocal inversion formulas in real integral geometry (1977) (24)
Generalized Functions, Volume 5: Integral Geometry and Representation Theory (2016) (24)
GENERAL GAMMA FUNCTIONS, EXPONENTIALS, AND HYPERGEOMETRIC FUNCTIONS (1998) (23)
HYPERGEOMETRIC FUNCTIONS ASSOCIATED WITH THE GRASSMANNIAN G3,6 (1990) (23)
INTEGRAL GEOMETRY AND ITS RELATION TO THE THEORY OF GROUP REPRESENTATIONS (1960) (23)
A local problem of integral geometry in a space of curves (1979) (21)
The Principle of Nonlocal Search in Automatic Optimization Systems (1961) (20)
Representations of quaternion groups over locally compact and functional fields (1968) (20)
Spectral theory of a pencil of skew-symmetric differential operators of third order on S1 (1989) (17)
GG-functions and their relation to general hypergeometric functions (1997) (16)
Quadratic forms over commutative group rings and the K-theory (1969) (16)
Bi-Hamiltonian Structures and Integrability (1993) (15)
Combinatorial calculus of characteristic classes (1975) (14)
Cohomologies of Lie algebra of vector fields with nontrivial coefficients (1970) (14)
[A model of control of the movement of the multiarticular extremity]. (1986) (14)
The Arnold-Gelfand Mathematical Seminars (2011) (13)
LATTICES, REPRESENTATIONS, AND ALGEBRAS CONNECTED WITH THEM. II (1976) (13)
The Gelfand Mathematical Seminars, 1993-1995 (1996) (13)
Cohomology of infinite-dimensional Lie algebras and Laplace operators (1978) (13)
A local combinatorial formula for the first class of Pontryagin (1976) (13)
[Activity of neurons of the dorsal spinocerebellar tract during locomotion]. (1972) (12)
Complexes of straight lines in the space Cn (1968) (12)
[Activity of neurons of the ventral spino-cerebellar tract during locomotion]. (1972) (12)
Projective Orientations of Matroids (1995) (11)
Generalized Functions, Volume 3: Theory of Differential Equations (2016) (11)
Discriminants of polynomials in many variables (1990) (11)
[Activity of ventral spino-cerebellar tract neurons during locomotion of cats with deafferented hindlimbs]. (1972) (10)
Admissible n-dimensional complexes of curves in Rn (1980) (10)
The abstract Hamiltonian formalism for the classical Yang-Baxter bundles (1983) (10)
Geometric structures of double bundles and their relation to certain problems in integral geometry (1983) (9)
Gabriel's theorem is also true for representations of equipped graphs by relations (1981) (8)
Topology of noncompact Lie groups (1967) (8)
Integral geometry in projective space (1970) (8)
CHAPTER III – FOURIER TRANSFORMATIONS OF FUNDAMENTAL AND GENERALIZED FUNCTIONS (1968) (8)
Quadratic Poisson algebras and their infinite‐dimensional extensions (1994) (8)
On the representation of the group GL(n, K) where K is a local field (1972) (8)
Nonlocal inversion formulas in a problem of integral geometry related to p-dimensional planes in real projective space (1982) (7)
A problem of integral geometry in RPn, connected with the integration of differential forms (1979) (6)
Upper bounds for cohomology of infinite-dimensional Lie algebras (1970) (6)
Cohomologies of Lie algebra of tangential vector fields. II (1970) (5)
IVAN GEORGIEVICH PETROVSKII (on his seventieth birthday) (1971) (5)
Two types of granular cells in the cerebellar cortex (2005) (5)
Polyhedra in the scheme space and the canonical basis in irreducible representations of gl3 (1985) (5)
[Functional organization of afferent connections of Purkinje cells in the paramedian lobe of the cerebellum]. (1967) (5)
Hypergeometric functions over finite fields (2001) (4)
Atiyah — Patodi — Singer functionals for characteristic functionals for tangent bundles (1976) (4)
Generalized Fuctions Vol-3 (1966) (4)
Schubert cells and flag space cohomologies (1973) (4)
FOURIER TRANSFORMS OF RAPIDLY INCREASING FUNCTIONS AND EVALUATION OF INTEGRALS IN THE THEORY OF GG-FUNCTIONS (1998) (4)
Representations of graphs. Perfect subrepresentations (1980) (3)
Square roots of the quasi-regular representation of the group SL(2, K) (1975) (3)
The effect of the lateral reticular nucleus of the medulla oblongata on the cerebellar cortex (2005) (3)
[Letter: Neuron activity in the ventral spinocerebellar tract during "fictitious scratching"]. (1975) (3)
[Reversible reorganization of the cytoskeleton of cultured cells induced by 12-O-tetradecanoylphorbol-13-acetate]. (1986) (3)
Anatolii Moiseevich Vershik (on his sixtieth birthday) (1994) (3)
RECENT DEVELOPMENTS IN THE THEORY OF GENERAL HYPERGEOMETRIC FUNCTIONS(Special Differential Equations) (1991) (3)
SPECIAL FUNCTIONS RELATED TO COMPLEX LIE GROUPS (1999) (3)
PL-foliations. II (1974) (3)
FOURIER TRANSFORMS OF GENERALIZED FUNCTIONS (1964) (3)
The Algebra of Chern-Simons Classes and the Poisson Bracket on it (1994) (3)
[Activity of lateral reticular nucleus neurons during scratching]. (1977) (3)
[Background activity of Purkinje cells in intact and deafferented anterior lobes of the cat cerebellar cortex]. (1971) (3)
Seventeen Papers on Analysis (1963) (3)
CHAPTER I – LINEAR TOPOLOGICAL SPACES (1968) (2)
Konstantin Ivanovich Babenko (obituary) (1988) (2)
COMBINATORIAL FORMULAS FOR PONTRYAGIN CLASSES AND GL-INVARIANT CHAINS (2004) (2)
Theory of the compression and oscillation of a plasma column in a powerful pulsed discharge (1961) (2)
ALEKSANDR Y POVZNER (on his sixtieth birthday) (1975) (2)
MATHEMATICAL EVENTS IN THE USSR: Ol'ga Arsen'evna Oleinik (on her sixtieth birthday) (1995) (2)
\mathscr N-functions and their relationship with solutions of general hypergeometric systems and GG-systems (2001) (2)
[Letter: Origin of modulation of vestibulospinal neuron activity during scratching]. (1975) (2)
Eleven Papers on Analysis, Probability and Topology (1959) (2)
MAGNETIC SURFACES OF TRIPLE-LAYER HELICAL MAGNETIC FIELD DISTURBED BY CRIMPED FIELD (1961) (2)
Representations of the group of diffeomorphisms (RMS 30:6 (1975) 1–50) (1982) (2)
[Influence of intercellular contacts in epithelial sheets on the capacity of the cell surface for adhesion and phagocytosis of particles]. (1975) (2)
Mikhail Shlëmovich Birman (on his sixtieth birthday) (1988) (2)
CORRECTNESS CLASSES FOR THE CAUCHY PROBLEM (1967) (2)
MARK ARONOVICH NAIMARK (obituary) (1980) (2)
Cohomologies of Lie algebras of vector fields on a manifold (1969) (2)
INTEGRAL GEOMETRY IN A SPACE OF CONSTANT CURVATURE (1966) (2)
[Activity of neurons of the cuneo-cerebellar tract during locomotion]. (1973) (2)
PL foliations (1973) (2)
[Principles controlling movement]. (1995) (1)
Twelve Papers on Function Theory, Probability and Differential Equations (1958) (1)
[Kinetics of proliferation in cultures of mouse embryo fibroblast-like cells]. (1971) (1)
[Prognosis of ventricular arrhythmias in myocardial infarct patients]. (1983) (1)
The theory of electron plasma non-linear oscillations☆ (1967) (1)
The Structure of a Toroidal Magnetic Field Having No Magnetic Surfaces (1963) (1)
[Mathematical prognostication of the outcome of hemorrhagic strokes for the purpose of establishing indications for their surgical treatment]. (1970) (1)
Galina Nikolaevna Tyurina (obituary) (1971) (1)
Oleg Vyacheslavovich Lokutsievskii (obituary) (1991) (1)
Feliks Aleksandrovich Berezin (obituary) (1981) (1)
AN EXAMPLE OF A TOROIDAL MAGNETIC FIELD DESTITUTE OF MAGNETIC SURFACES (1962) (1)
Twenty-Two Papers on Algebra, Number Theory and Differential Geometry (1964) (1)
[Processes determining changes in the shape of a cell following detachment from a substrate]. (1975) (1)
The Organized Search Principle in Systems With Automatic Optimization. (1961) (1)
Regeneration of pedal ganglion neurons in the sea butterfly Clione limacina (2005) (1)
Certain Classes of Games and Automata Games (1964) (1)
UNIQUENESS CLASSES FOR THE CAUCHY PROBLEM (1967) (1)
Organization of somatic nerve projections in various cortical areas of the cat cerebellum (2005) (1)
NIKOLAI IVANOVICH MUSKHELISHVILI (on his eightieth birthday) (1972) (1)
Nikolai Nikolaevich Chentsov (obituary) (1993) (1)
Integration on supermanifolds and Radon supertransformations (1986) (1)
Summary of fundamental definitions and equations of volume I (2016) (0)
IRREDUCIBLE REPRESENTATION OF LIE GROUP ALGEBRA U(p,q). (DESCRIPTION OF DISCREET CONCEPT SERIES). (1968) (0)
MEASURES IN LINEAR TOPOLOGICAL SPACES (1964) (0)
Table of Fourier transforms (2016) (0)
Fridrikh Israilevich Karpelevich (obituary) (2001) (0)
[The role of intermediate filaments in forming cellular processes induced in fibroblasts by the tumor promoter TPA]. (1992) (0)
[Selection of the information for solving medical diagnostic problems with "diagnostic games" (the example of predicting the time of sinus rhythm maintenance after eliminating atrial fibrillation)]. (1983) (0)
INTEGRAL TRANSFORMS IN THE COMPLEX DOMAIN (1966) (0)
[Initiation of DNA synthesis in fibroblast-like mouse embryonal cell cultures under the action of substances disturbing microtubule formation]. (1971) (0)
Crystal Structure of Paraoxyacetophenone. Determination of the Model of the Structure (1971) (0)
[Growth of neurites and formation of connections in cultures of pteropodial mollusc neurons]. (1987) (0)
GEORGEII EVGEN'EVICH SHILOV (obituary) (1976) (0)
ZAID ISMAILOVICH KHALILOV (on the occasion of his sixtieth birthday) (1971) (0)
[Formals for histogram analysis of Purkinje cell interspike intervals]. (1977) (0)
CHAPTER IV – SPACES OF TYPE S (1968) (0)
[Intracellular interactions in cultures of strain L transformed fibroblasts and normal mouse fibroblasts]. (1973) (0)
Notes and references to the literature (2016) (0)
[Evaluating the pressure in pulmonary artery from electro- and phonocardiographic data in interventricular septal defects]. (1971) (0)
Mark Iosifovich Vishik (on his sixtieth birthday) (1982) (0)
[Organization of interneuron afferent connections in the paramedian lobe of the cat cerebellum]. (1970) (0)
[Predicting the recurrence of hemorrhage in patients with peptic ulcer]. (1983) (0)
[Automation of the analysis of fluorograms of the chest cavity organs]. (1980) (0)
[Effect of colchicine on polarization of cells on narrow strips of an adherent substrate]. (1977) (0)
[The organization of somatic nerve projections in different regions of the cat cerebellar cortex]. (1971) (0)
[Suppression of Purkinje cell reactions in the presence of preceding activation of the reticulocerebellar tracts]. (1972) (0)
THE STRUCTURE OF A MAGNETIC TOROIDAL FIELD WHICH POSSESSES NO MAGNETIC SURFACES (1963) (0)
Guide to the literature (2016) (0)
News Items and Announcements (1974) (0)
Differentiation of neuroblastoma cells under the influence of cytochalasin B (1983) (0)
Proof of the completeness of the generalized-function space (2016) (0)
Mark Iosifovich Graev (to his 85th brithday) (2008) (0)
Twelve Papers on Topology, Algebra and Number Theory (1966) (0)
[Effect of metaphase inhibitors on the form and movement of fibroblasts in culture]. (1972) (0)
Influence of the pteropod mollusk pedal ganglia locomoter system on anatomically isolated neurons (2005) (0)
Nine Papers on Logic and Group Theory (1967) (0)
[Insensitivity of stationary cultures of transformed mouse fibroblasts to agents stimulating DNA synthesis in normal cell cultures]. (1975) (0)
[Effect of serum on manifestation of cell transformation]. (1977) (0)
Homogeneous spaces with a discrete stability group (2016) (0)
Preface to the Russian Edition (1967) (0)
[Results of intercellular collisions in cultures of normal and transformed fibroblasts]. (1974) (0)
Eight Papers on Functional Analysis and Partial Differential Equations (1957) (0)
HARMONIC ANALYSIS ON SPACES HOMOGENEOUS WITH RESPECT TO THE LORENTZ GROUP (1966) (0)
[Prognosis of the outcome of myocardial infarct by means of the "KORA-3" program]. (1977) (0)
[Retrospective evaluation of unstable angina pectoris in various types of myocardial infarct]. (1983) (0)
[Effect of the locomotor system of the pedal ganglia of the pteropodial mollusk on anatomically isolated neurons]. (1986) (0)
Sixteen papers on differential and difference equations functional analysis, games and control (1970) (0)
[Tetradecanoylphorbol acetate causes reversible segregation of cell cytoplasm into several independently moving parts]. (1988) (0)
Representations of adele groups (2016) (0)
[Differentiation of neuroblastoma cells caused by cytochalasin B]. (1983) (0)
[Effect of colcemid on the radial spreading of fibroblasts in culture]. (1977) (0)
[Migration of the nucleus and cytoplasm along the pseudopodium of the differentiated neuroblastoma cell]. (1987) (0)
[Local interactions of cells in cell complexes of ascitic hepatoma 22]. (1966) (0)
[DNA synthesis in mouse embryonic fibroblast-like cells stimulated in vitro by factors of different nature]. (1969) (0)
[Morpho-clinical variants of chronic glomerulonephritis and their significance for the evaluation of the severity of the disease]. (1984) (0)
Representations of the group of unimodular matrices of order 2 with elements from a locally compact topological field (2016) (0)
Automation of heat-treatment furnaces operating according to a preset program (1961) (0)
[In memory of Sergeĭ Vasil'evich Fomin]. (1976) (0)
LIST OF THE PRINTED PAPERS BY I. M. GEL'FAND (1974) (0)
[Behavior of fibroblasts in cell culture after removal of part of the monolayer]. (1966) (0)
The problem of integral geometry on K-3 connected with the garmonical analysis on the group SL(2, K), where K is a continuous locally compact field (1997) (0)
[Prognosis of the outcome of macrofocal myocardial infarct with the aid of the recognition program]. (1977) (0)
Effect of deafferentation of the anterior lobe of the cat cerebellum on background activity of Purkinje cells (1972) (0)
[Changes in the form and cytoskeleton of cultured fibroblasts as affected by 12-tetradecanoylphorbol-13-acetate]. (1987) (0)
Generalized functions of complex variables (2016) (0)
Quantitative evaluation of shape and orientation of cell nuclei in tissue culture. (1971) (0)
[Cell surface changes--the basis for the biological features of tumor cells]. (1968) (0)
[A method of measuring cell orientation]. (1975) (0)
Fourteen Papers on Groups and Semigroups (1964) (0)
[Nature of the interaction of light-chain immunoglobulins with immobilized heavy chains]. (1984) (0)
[Prognostication of the outcome of surgical treatment of hemorrhagic strokes using a computer]. (1976) (0)
THE KERNEL THEOREM. NUCLEAR SPACES. RIGGED HILBERT SPACE (1964) (0)
[Prognosis of uncomplicated course of myocardial infarction]. (1982) (0)
Foreword to the First Russian Edition (1964) (0)
HARMONIC ANALYSIS ON THE GROUP OF COMPLEX UNIMODULAR MATRICES IN TWO DIMENSIONS (1966) (0)
Finding Crystal Structures by Minimization of the R-Factor (1964) (0)
[Types of clinical courses in the acute period of myocardial infarction and their prognostic significance]. (1986) (0)
Neurite growth and formation of connections in pteropodial mollusk neurons in culture (2005) (0)
[Regeneration of neurons of the pedal ganglion of the pteropodal mollusk Clione limacina]. (1985) (0)
[Effect of agents disrupting microtubules on the distribution of receptors on the surface of cultured cells]. (1978) (0)
Generalization of spaces of type (2016) (0)
REPRESENTATIONS OF THE GROUP OF COMPLEX UNIMODULAR MATRICES IN TWO DIMENSIONS (1966) (0)
ON QUANTITIES WITH ANOMALOUS PARITY AND ON A POSSIBLE EXPLANATION OF PARITY DEGENERACY OF K-MESONS (1957) (0)
[Microtubule-independent cell surface stabilization in normal and transformed connective tissue cells]. (1981) (0)
[ECG manifestations in severe involvement of the coronary arteries in patients with chronic ischemic heart disease]. (1983) (0)
GENERALIZED EIGENFUNCTION EXPANSIONS (1967) (0)
Eight Papers on Group Theory (1956) (0)

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