Izrail Moiseevich Gel'fand
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Functional Analysis
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Mathematics
Izrail Moiseevich Gel'fand's Degrees
- PhD Mathematics Moscow State University
Why Is Izrail Moiseevich Gel'fand Influential?
(Suggest an Edit or Addition)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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