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    Article

    A formula for constructing infinitely many surfaces on Lie algebras and integrable equations

    Surfaces immersed in Lie algebras can be characterized by the so called fundamental forms. The coefficients of these forms satisfy a system of nonlinear partial differential equations (PDEs), the Gauss–Mainar...

    A.S. Fokas, I.M. Gel'fand, F. Finkel, Q.M. Liu in Selecta Mathematica (2000)

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    Chapter

    Bi-Hamiltonian Structures and Integrability

    The Hamiltonian approach to integrability of nonlinear evolution equations in 1+1, i.e. in one spatial and one temporal dimension, has its origin in the works of Zakharov and Faddeev [1] and Gardner [2] who in...

    A. S. Fokas, I. M. Gel’fand in Important Developments in Soliton Theory (1993)

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    A theory of noncommutative determinants and characteristic functions of graphs

    I. M. Gel'fand, V. S. Retakh in Functional Analysis and Its Applications (1992)

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    Determinants of matrices over noncommutative rings

    I. M. Gel'fand, V. S. Retakh in Functional Analysis and Its Applications (1991)

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    Crofton's function and inversion formulas in real integral geometry

    I. M. Gel'fand, M. I. Graev in Functional Analysis and Its Applications (1991)

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    Discriminants of polynomials in many variables

    I. M. Gel'fand, A. V. Zelevinskii… in Functional Analysis and Its Applications (1990)

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    Spectral theory of a pencil of skew-symmetric differential operators of third order on S1

    I. M. Gel'fand, I. S. Zakharevich in Functional Analysis and Its Applications (1989)

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    Hypergeometric functions and toral manifolds

    I. M. Gel'fand, A. V. Zelevinskii… in Functional Analysis and Its Applications (1989)

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    Article

    Heaviside functions of a configuration of hyperplanes

    A. N. Varchenko, I. M. Gel'fand in Functional Analysis and Its Applications (1987)

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    Article

    Neurite growth and formation of connections in pteropodial mollusk neurons in culture

    Neurons from the peripharyngeal nerve ring detached from the pteropodial molluskClione limacina were cultured in polylysine prepared in a 25% Leibovitz saltwater medium containing 2% embryonic calf serum. Neurite...

    Yu. I. Arshavskii, I. M. Gel'fand, T. G. Delyagina, G. N. Orlovskii… in Neurophysiology (1987)

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    General hypergeometric functions on complex Grassmannians

    V. A. Vasil'ev, I. M. Gel'fand… in Functional Analysis and Its Applications (1987)

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    Article

    Influence of the pteropod mollusk pedal ganglia locomoter system on anatomically isolated neurons

    It was established during experiments on pedal ganglia generating locomotor rhythm isolated fromClione limacina, a pteropod mollusk, that this rhythm was irregular in 30% of preparations; i.e., the locomotor gene...

    Yu. I. Arshavskii, I. M. Gel'fand, T. G. Delyagina, G. N. Orlovskii… in Neurophysiology (1986)

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    Article

    Integration on supermanifolds and Radon supertransformations

    I. M. Gel'fand, V. V. Minakhin, V. N. Shander in Functional Analysis and Its Applications (1986)

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    Article

    Algebraic and combinatorial aspects of the general theory of hypergeometric functions

    I. M. Gel'fand, A. V. Zelevinskii in Functional Analysis and Its Applications (1986)

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    Article

    Regeneration of pedal ganglion neurons in the sea butterfly Clione limacina

    In the pedal ganglia ofClione limacina the growth of neurites is traced in motoneurons after transection of the wing nerve and in interneurons after transection of the pedal commissure. Neurons were stained intra...

    Yu. I. Arshavskii, I. M. Gel'fand, G. N. Orlovskii, G. A. Pavlova… in Neurophysiology (1985)

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    Article

    Polyhedra in the scheme space and the canonical basis in irreducible representations of gl3

    I. M. Gel'fand, A. V. Zelevinskii in Functional Analysis and Its Applications (1985)

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    Models of representations of classical groups and their hidden symmetries

    I. M. Gel'fand, A. V. Zelevinskii in Functional Analysis and Its Applications (1984)

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    Article

    Differentiation of neuroblastoma cells under the influence of cytochalasin B

    V. B. Kishkina, L. V. Domnina… in Bulletin of Experimental Biology and Medic… (1983)

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    Article

    A commutative model of representation of the group of flows SL(2, R)X that is connected with a unipotent subgroup

    A. M. Vershik, I. M. Gel'fand, M. I. Graev in Functional Analysis and Its Applications (1983)

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    Article

    Geometric structures of double bundles and their relation to certain problems in integral geometry

    I. M. Gel'fand, G. S. Shmelev in Functional Analysis and Its Applications (1983)

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