Edit Profile (opens in new tab) Levinson, Norman Compute Distance To: Compute Author ID: levinson.norman Published as: Levinson, Norman; Levinson, N. External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 147 Publications since 1934, including 5 Books 3 Further Contributions Co-Authors: 16 Co-Authors with 22 Joint Publications 235 Co-Co-Authors all top 5 Co-Authors 125 single-authored 5 Coddington, Earl A. 3 Hardy, Godfrey Harold 3 Redheffer, Raymond M. 2 Kac, Mark 2 McKean, Henry P. jun. 1 Abbott, James C. 1 Bliss, Gilbert Ames 1 Boas, Mary L. 1 Boas, Ralph Philip jun. 1 Bogert, B. P. 1 Brelot, Marcel 1 Browder, Felix Earl 1 Davis, Martin David 1 Davis, Philip J. 1 Doob, Joseph Leonard 1 Duff, George Francis Denton 1 Farnell, A. B. 1 Flatto, Leopold 1 Gerstenhaber, Murray 1 Hale-La Salle 1 Henkin, Leon Albert 1 Hersh, Reuben 1 Hurewicz, Witold 1 Jackson, Dunham 1 Kahane, Jean-Pierre 1 Kemp, R. R. D. 1 Lanczos, Cornelius 1 Langenhop, Carl Eric 1 Lax, Peter David 1 Lefschetz, Solomon 1 Levin, Jacob J. 1 Mac Lane, Leslie Saunders 1 Mandelbrojt, Szolem 1 Masani, Pesi Rustom 1 McShane, Edward James 1 Montgomery, Hugh Lowell 1 Olds, C. D. 1 Root, William L. 1 Rosenblith, W. 1 Sherman, Thomas Oakley 1 Smith, Oliver K. 1 Spanier, Edwin Henry 1 Trèves, François 1 Whyburn, Gordon Thomas 1 Wiesner, Jan 1 Zalcman, Lawrence Allen all top 5 Serials 25 Duke Mathematical Journal 14 Proceedings of the National Academy of Sciences of the United States of America 13 Journal of Mathematical Analysis and Applications 13 Journal of Mathematics and Physics 11 Bulletin of the American Mathematical Society 9 Annals of Mathematics. Second Series 6 Proceedings of the American Mathematical Society 4 Proceedings of the London Mathematical Society. Second Series 3 American Mathematical Monthly 3 Acta Mathematica 3 American Journal of Mathematics 3 Illinois Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Advances in Mathematics 2 Quarterly of Applied Mathematics 2 Proceedings of the Cambridge Philosophical Society 2 Journal of the London Mathematical Society 2 Matematisk Tidsskrift, B 2 Colloquium Publications. American Mathematical Society 2 Journal of Rational Mechanics and Analysis 1 Acta Arithmetica 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Journal of Differential Equations 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Number Theory 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Combinatorial Theory 1 Journal of Mathematics and Mechanics 1 Journal of the Society for Industrial & Applied Mathematics 1 Physical Review, II. Series 1 Časopis Pro Pěstování Matematiky a Fysiky all top 5 Fields 21 Number theory (11-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 4,582 times in 4,361 Documents Cited by ▼ Year ▼ Theory of ordinary differential equations. Zbl 0064.33002Coddington, Earl A.; Levinson, Norman 2,118 1955 On the nature of the spectrum of singular second order linear differential equations. Zbl 0042.32602Coddington, E. A.; Levinson, N. 779 1951 Gap and density theorems. JFM 66.0332.01Levinson, N. 154 1940 The asymptotic nature of solutions of linear systems of differential equations. Zbl 0040.19402Levinson, Norman 104 1948 Gap and density theorems. Zbl 0145.08003Levinson, Norman 96 1940 A general equation for relaxation oscillations. Zbl 0061.18908Levinson, Norman; Smith, Oliver K. 82 1942 More than one third of zeros of Riemann’s zeta-function are on \(\sigma=1/2\). Zbl 0281.10017Levinson, Norman 76 1974 The inverse Sturm-Liouville problem. Zbl 0041.42310Levinson, Norman 57 1949 The first boundary value problem for \(\epsilon\Delta u+A(x,y)u_x+B(x,y)u_y+C(x,y)u =D(x,y)\) for small \(\epsilon\). Zbl 0036.06801Levinson, Norman 56 1950 Linear programming in complex space. Zbl 0136.13802Levinson, N. 53 1966 A class of continuous linear programming problems. Zbl 0141.35601Levinson, N. 51 1966 Transformation theory of non-linear differential equations of the second order. Zbl 0061.18910Levinson, Norman 50 1944 Periodic solutions of singularly perturbed systems. Zbl 0066.07302Flatto, L.; Levinson, N. 47 1955 A second order differential equation with singular solutions. Zbl 0041.42311Levinson, Norman 45 1949 Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025Levinson, Norman; Montgomery, Hugh L. 45 1974 Generalization of an inequality of Ky Fan. Zbl 0128.05803Levinson, N. 44 1964 A nonlinear Volterra equation arising in the theory of superfluidity. Zbl 0094.08501Levinson, N. 41 1960 Generalizations of an inequality of Hardy. Zbl 0126.28101Levinson, N. 40 1964 Singular perturbations of non-linear systems of differential equations and an associated boundary layer equation. Zbl 0055.08204Levin, J. J.; Levinson, Norman 32 1954 On the existence of periodic solutions for second order differential equations with a forcing term. Zbl 0061.18909Levinson, Norman 32 1943 The asymptotic behaviour of a system of linear differential equations. Zbl 0061.19706Levinson, Norman 32 1946 Complex variables. Zbl 0201.40202Levinson, N.; Redheffer, R. M. 31 1970 Weighted trigonometrical approximation on \(R^ 1\) with application to the germ field of a stationary Gaussian noise. Zbl 0126.13901Levinson, N.; McKean, H. jun. 31 1964 The inverse Sturm-Liouville problem. Zbl 0045.36402Levinson, Norman 24 1949 A boundary value problem for a nonlinear differential equation with a small parameter. Zbl 0046.09503Coddington, Earl A.; Levinson, Norman 23 1952 On the uniqueness of the potential in a Schrödinger equation for a given asymptotic phase. Zbl 0032.20702Levinson, N. 22 1949 Almost all roots of \(\zeta(s)=a\) are arbitrarily close to \(\sigma=1/2\). Zbl 0301.10033Levinson, Norman 22 1975 Small periodic perturbations of an autonomous system with a stable orbit. Zbl 0038.24903Levinson, Norman 21 1950 A second order differential equation with singular solutions. Zbl 0045.36501Levinson, Norman 21 1949 A simplified proof of the expansion theorem for singular second order linear differential equations. Zbl 0044.31302Levinson, Norman 18 1951 Criteria for the limit-point case for second order linear differential operators. Zbl 0033.18102Levinson, Norman 17 1949 Positive eigenfunctions for \(\Delta u+\lambda f(u) = 0\). Zbl 0108.28902Levinson, N. 16 1962 Certain explicit relationships between phase shift and scattering potential. Zbl 0050.22704Levinson, Norman 14 1953 On a non-linear differential equation of the second order. Zbl 0061.18912Levinson, Norman 14 1943 On an inequality of Opial and Beesack. Zbl 0134.27902Levinson, N. 14 1964 Perturbations of discontinuous solutions of non-linear systems of differential equations. Zbl 0039.31404Levinson, Norman 13 1950 A boundary value problem for a singulary perturbed differential equation. Zbl 0066.06503Haber, S.; Levinson, N. 13 1955 Minimax, Liapunov and ’bang-bang’. Zbl 0201.48002Levinson, N. 12 1966 Dirichlet problem for \(\Delta u = f(P,u)\). Zbl 0124.30901Levinson, N. 11 1963 On a class of non-vanishing functions. JFM 62.0278.02Levinson, N. 10 1936 Limiting theorems for age-dependent branching processes. Zbl 0109.36101Levinson, N. 10 1960 Simplified treatment of integrals of Cauchy type, the Hilbert problem and singular integral equations. Appendix: Poincaré-Bertrand formula. Zbl 0158.08001Levinson, N. 10 1965 The growth of solutions of a differential equation. Zbl 0061.18605Boas, Mary L.; Boas, R. P. jun.; Levinson, Norman 9 1942 A canonical form for an analytic function of several variables at a critical point. Zbl 0192.18201Levinson, N. 8 1960 A heuristic exposition of Wiener’s mathematical theory of prediction and filtering. Zbl 0036.21502Levinson, Norman 8 1947 The Gontcharoff polynomials. Zbl 0060.22403Levinson, Norman 8 1944 Transformation of an analytic function of several variables to a canonical form. Zbl 0100.29002Levinson, N. 7 1961 A polynomial canonical form for certain analytic functions of two variables at a critical point. Zbl 0192.18202Levinson, N. 6 1960 \(\Omega\)-theorems for the Riemann zeta-function. Zbl 0213.06402Levinson, Norman 6 1972 Limiting theorems for Galton-Watson branching process. Zbl 0229.60057Levinson, Norman 6 1959 On the non-uniqueness of periodic solutions for an asymmetric Liénard equation. Zbl 0046.31701Duff, G. F. D.; Levinson, N. 6 1952 The growth of the solutions of a differential equation. Zbl 0024.39903Levinson, N. 5 1941 A theorem of Boas. Zbl 0024.42001Levinson, Norman 5 1941 A boundary value problem for a singularly perturbed differential equation. Zbl 0173.35301Levinson, N. 5 1958 A simple second order differential equation with singular motions. Zbl 0038.24904Levinson, N. 5 1948 Perturbations of linear systems with constant coefficients possessing periodic solutions. Zbl 0047.08701Coddington, E. A.; Levinson, N. 5 1952 On the asymptotic shape of the cavity behind an axially symmetric nose moving through an ideal fluid. I. Zbl 0061.44506Levinson, N. 5 1946 On theorems of Berlowitz and Berndt. Zbl 0224.10042Levinson, N. 4 1971 On stability of non-linear systems of differential equations. Zbl 0039.31501Levinson, Norman 4 1949 Separation of Laplace’s equation. Zbl 0041.22304Levinson, N.; Bogert, B.; Redheffer, R. M. 4 1949 Uniqueness and the convergence of successive approximations. Zbl 0047.08305Coddington, E. A.; Levinson, N. 4 1952 On the Poisson summability of Fourier series. Zbl 0013.35003Levinson, Norman 4 1936 Forced periodic solutions of a stable non-linear system of differential equations. Zbl 0042.09901Farnell, A. B.; Langenhop, C. E.; Levinson, N. 3 1951 The stability of linear, real, periodic self-adjoint systems of differential equations. Zbl 0122.32504Levinson, N. 3 1963 Summing certain number theoretic series arising in the sieve. Zbl 0157.09501Levinson, N. 3 1968 On non-harmonic Fourier series. Zbl 0015.20804Levinson, Norman 3 1936 Asymptotic formula for the coordinates of the zeros of sections of the zeta function, \(\zeta_n\)(s), near s = 1. Zbl 0253.10030Levinson, Norman 3 1973 At least one-third of zeros of Riemann’s zeta-function are on \(\sigma = 1/2\). Zbl 0277.10032Levinson, Norman 3 1974 Deduction of semi-optimal mollifier for obtaining lower bound for N\(_0\)(T) for Riemann’s zeta-function. Zbl 0294.10027Levinson, Norman 3 1975 On the Szasz-Müntz theorem. Zbl 0294.41020Levinson, Norman 3 1974 Lectures on ordinary differential equations. With a preface by Norman Levinson. With an obituary of Hurewicz by Solomon Lefschetz. Reprint of the 1964 edition. Zbl 0734.34002Hurewicz, Witold 2 1990 A motivated account of an elementary proof of the prime number theorem. Zbl 0172.06001Levinson, N. 2 1969 A theorem of Boas. JFM 67.0270.03Levinson, N. 2 1941 On non-harmonic Fourier series. JFM 62.0279.01Levinson, N. 2 1936 On the closure of \(\left\{e^{i \lambda_n x}\right\}\) and integral functions. JFM 61.0268.02Levinson, N. 2 1935 Addendum to “A simplified proof of the expansion theorem for singular second order linear differential equations”. Zbl 0045.04602Levinson, Norman 2 1951 Corrections to ’The Gontcharoff polynomials’. Zbl 0061.15110Levinson, Norman 2 1945 On a problem of Polya. Zbl 0015.30802Levinson, Norman 2 1936 General gap Tauberian theorems: I. Zbl 0019.16102Levinson, Norman 2 1938 Remarks on a formula of Riemann for his zeta-function. Zbl 0252.10042Levinson, Norman 2 1973 On the elementary character of Wiener’s general Tauberian theorem. Zbl 0256.40007Levinson, Norman 2 1973 Generalization of recent method giving lower bound for \(N_0(T)\) of Riemann’s zeta-function. Zbl 0287.10024Levinson, Norman 2 1974 Zeros of derivative of Riemann’s \(\xi\)-function. Zbl 0289.10027Levinson, Norman 2 1974 A simplification in the proof that \(N_0\;(T)>(1/3)\) \(N(T)\) for Riemann’s zeta-function. Zbl 0321.10035Levinson, Norman 2 1975 An integral inequality of the Phragmen-Lindelöf type. Zbl 0024.21902Levinson, Norman 1 1941 Norbert Wiener 1894–1964. Reprint. Zbl 0209.00101 1 1966 Restrictions imposed by certain functions on their Fourier transforms. JFM 66.0513.02Levinson, N. 1 1940 On the closure of \(\{e^{i\lambda _n x}\}\). JFM 62.0277.02Levinson, N. 1 1936 On certain theorems of Pólya and Bernstein. JFM 62.0321.01Levinson, N. 1 1936 On a problem of Pólya. JFM 62.0354.02Levinson, N. 1 1936 The expansion theorem for singular self-adjoint linear differential operators. Zbl 0055.31605Levinson, Norman 1 1954 Transform and inverse transform expansions for singular self-adjoint differential operators. Zbl 0081.07903Levinson, N. 1 1958 Remark about Wintner’s comparison theorem. Zbl 0083.07704Levinson, Norman 1 1958 On \(u''+(1+\lambda g(x))u=0\) for \(\int_0^\infty | g(x) | dx < \infty\). Zbl 0090.05802Kemp, R. R. D.; Levinson, Norman 1 1959 Weighted trigonometrical approximation on \(R^1\) with application to the germ field of a stationary Gaussian process. Zbl 0119.14103Levinson, N.; McKean, H. P. jun. 1 1964 One-sided inequalities for elliptic differential operators. Zbl 0135.15502Levinson, N. 1 1965 A variant of the Selberg inequality. Zbl 0141.04601Levinson, N. 1 1965 The sum of the intersections of a cone with a linear subspace and of dual cone with orthogonal complementary subspace. Zbl 0158.19801Levinson, N.; Sherman, T. O. 1 1966 On the non-vanishing of certain functions. Zbl 0014.06905Levinson, Norman 1 1936 On a theorem of Ingham. Zbl 0013.25802Levinson, Norman 1 1936 Lectures on ordinary differential equations. With a preface by Norman Levinson. With an obituary of Hurewicz by Solomon Lefschetz. Reprint of the 1964 edition. Zbl 0734.34002Hurewicz, Witold 2 1990 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 1 1978 Almost all roots of \(\zeta(s)=a\) are arbitrarily close to \(\sigma=1/2\). Zbl 0301.10033Levinson, Norman 22 1975 Deduction of semi-optimal mollifier for obtaining lower bound for N\(_0\)(T) for Riemann’s zeta-function. Zbl 0294.10027Levinson, Norman 3 1975 A simplification in the proof that \(N_0\;(T)>(1/3)\) \(N(T)\) for Riemann’s zeta-function. Zbl 0321.10035Levinson, Norman 2 1975 More than one third of zeros of Riemann’s zeta-function are on \(\sigma=1/2\). Zbl 0281.10017Levinson, Norman 76 1974 Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025Levinson, Norman; Montgomery, Hugh L. 45 1974 At least one-third of zeros of Riemann’s zeta-function are on \(\sigma = 1/2\). Zbl 0277.10032Levinson, Norman 3 1974 On the Szasz-Müntz theorem. Zbl 0294.41020Levinson, Norman 3 1974 Generalization of recent method giving lower bound for \(N_0(T)\) of Riemann’s zeta-function. Zbl 0287.10024Levinson, Norman 2 1974 Zeros of derivative of Riemann’s \(\xi\)-function. Zbl 0289.10027Levinson, Norman 2 1974 Asymptotic formula for the coordinates of the zeros of sections of the zeta function, \(\zeta_n\)(s), near s = 1. Zbl 0253.10030Levinson, Norman 3 1973 Remarks on a formula of Riemann for his zeta-function. Zbl 0252.10042Levinson, Norman 2 1973 On the elementary character of Wiener’s general Tauberian theorem. Zbl 0256.40007Levinson, Norman 2 1973 \(\Omega\)-theorems for the Riemann zeta-function. Zbl 0213.06402Levinson, Norman 6 1972 \(\Omega\)-theorems for quotients of zeta-functions at combinations of points. Zbl 0238.10024Levinson, Norman 1 1972 On theorems of Berlowitz and Berndt. Zbl 0224.10042Levinson, N. 4 1971 Complex variables. Zbl 0201.40202Levinson, N.; Redheffer, R. M. 31 1970 A motivated account of an elementary proof of the prime number theorem. Zbl 0172.06001Levinson, N. 2 1969 Summing certain number theoretic series arising in the sieve. Zbl 0157.09501Levinson, N. 3 1968 Linear programming in complex space. Zbl 0136.13802Levinson, N. 53 1966 A class of continuous linear programming problems. Zbl 0141.35601Levinson, N. 51 1966 Minimax, Liapunov and ’bang-bang’. Zbl 0201.48002Levinson, N. 12 1966 Norbert Wiener 1894–1964. Reprint. Zbl 0209.00101 1 1966 The sum of the intersections of a cone with a linear subspace and of dual cone with orthogonal complementary subspace. Zbl 0158.19801Levinson, N.; Sherman, T. O. 1 1966 Simplified treatment of integrals of Cauchy type, the Hilbert problem and singular integral equations. Appendix: Poincaré-Bertrand formula. Zbl 0158.08001Levinson, N. 10 1965 One-sided inequalities for elliptic differential operators. Zbl 0135.15502Levinson, N. 1 1965 A variant of the Selberg inequality. Zbl 0141.04601Levinson, N. 1 1965 Generalization of an inequality of Ky Fan. Zbl 0128.05803Levinson, N. 44 1964 Generalizations of an inequality of Hardy. Zbl 0126.28101Levinson, N. 40 1964 Weighted trigonometrical approximation on \(R^ 1\) with application to the germ field of a stationary Gaussian noise. Zbl 0126.13901Levinson, N.; McKean, H. jun. 31 1964 On an inequality of Opial and Beesack. Zbl 0134.27902Levinson, N. 14 1964 Weighted trigonometrical approximation on \(R^1\) with application to the germ field of a stationary Gaussian process. Zbl 0119.14103Levinson, N.; McKean, H. P. jun. 1 1964 Dirichlet problem for \(\Delta u = f(P,u)\). Zbl 0124.30901Levinson, N. 11 1963 The stability of linear, real, periodic self-adjoint systems of differential equations. Zbl 0122.32504Levinson, N. 3 1963 Positive eigenfunctions for \(\Delta u+\lambda f(u) = 0\). Zbl 0108.28902Levinson, N. 16 1962 Transformation of an analytic function of several variables to a canonical form. Zbl 0100.29002Levinson, N. 7 1961 A nonlinear Volterra equation arising in the theory of superfluidity. Zbl 0094.08501Levinson, N. 41 1960 Limiting theorems for age-dependent branching processes. Zbl 0109.36101Levinson, N. 10 1960 A canonical form for an analytic function of several variables at a critical point. Zbl 0192.18201Levinson, N. 8 1960 A polynomial canonical form for certain analytic functions of two variables at a critical point. Zbl 0192.18202Levinson, N. 6 1960 Limiting theorems for Galton-Watson branching process. Zbl 0229.60057Levinson, Norman 6 1959 On \(u''+(1+\lambda g(x))u=0\) for \(\int_0^\infty | g(x) | dx < \infty\). Zbl 0090.05802Kemp, R. R. D.; Levinson, Norman 1 1959 A boundary value problem for a singularly perturbed differential equation. Zbl 0173.35301Levinson, N. 5 1958 Transform and inverse transform expansions for singular self-adjoint differential operators. Zbl 0081.07903Levinson, N. 1 1958 Remark about Wintner’s comparison theorem. Zbl 0083.07704Levinson, Norman 1 1958 Theory of ordinary differential equations. Zbl 0064.33002Coddington, Earl A.; Levinson, Norman 2,118 1955 Periodic solutions of singularly perturbed systems. Zbl 0066.07302Flatto, L.; Levinson, N. 47 1955 A boundary value problem for a singulary perturbed differential equation. Zbl 0066.06503Haber, S.; Levinson, N. 13 1955 Singular perturbations of non-linear systems of differential equations and an associated boundary layer equation. Zbl 0055.08204Levin, J. J.; Levinson, Norman 32 1954 The expansion theorem for singular self-adjoint linear differential operators. Zbl 0055.31605Levinson, Norman 1 1954 Certain explicit relationships between phase shift and scattering potential. Zbl 0050.22704Levinson, Norman 14 1953 A boundary value problem for a nonlinear differential equation with a small parameter. Zbl 0046.09503Coddington, Earl A.; Levinson, Norman 23 1952 On the non-uniqueness of periodic solutions for an asymmetric Liénard equation. Zbl 0046.31701Duff, G. F. D.; Levinson, N. 6 1952 Perturbations of linear systems with constant coefficients possessing periodic solutions. Zbl 0047.08701Coddington, E. A.; Levinson, N. 5 1952 Uniqueness and the convergence of successive approximations. Zbl 0047.08305Coddington, E. A.; Levinson, N. 4 1952 On the nature of the spectrum of singular second order linear differential equations. Zbl 0042.32602Coddington, E. A.; Levinson, N. 779 1951 A simplified proof of the expansion theorem for singular second order linear differential equations. Zbl 0044.31302Levinson, Norman 18 1951 Forced periodic solutions of a stable non-linear system of differential equations. Zbl 0042.09901Farnell, A. B.; Langenhop, C. E.; Levinson, N. 3 1951 Addendum to “A simplified proof of the expansion theorem for singular second order linear differential equations”. Zbl 0045.04602Levinson, Norman 2 1951 The first boundary value problem for \(\epsilon\Delta u+A(x,y)u_x+B(x,y)u_y+C(x,y)u =D(x,y)\) for small \(\epsilon\). Zbl 0036.06801Levinson, Norman 56 1950 Small periodic perturbations of an autonomous system with a stable orbit. Zbl 0038.24903Levinson, Norman 21 1950 Perturbations of discontinuous solutions of non-linear systems of differential equations. Zbl 0039.31404Levinson, Norman 13 1950 The inverse Sturm-Liouville problem. Zbl 0041.42310Levinson, Norman 57 1949 A second order differential equation with singular solutions. Zbl 0041.42311Levinson, Norman 45 1949 The inverse Sturm-Liouville problem. Zbl 0045.36402Levinson, Norman 24 1949 On the uniqueness of the potential in a Schrödinger equation for a given asymptotic phase. Zbl 0032.20702Levinson, N. 22 1949 A second order differential equation with singular solutions. Zbl 0045.36501Levinson, Norman 21 1949 Criteria for the limit-point case for second order linear differential operators. Zbl 0033.18102Levinson, Norman 17 1949 On stability of non-linear systems of differential equations. Zbl 0039.31501Levinson, Norman 4 1949 Separation of Laplace’s equation. Zbl 0041.22304Levinson, N.; Bogert, B.; Redheffer, R. M. 4 1949 The asymptotic nature of solutions of linear systems of differential equations. Zbl 0040.19402Levinson, Norman 104 1948 A simple second order differential equation with singular motions. Zbl 0038.24904Levinson, N. 5 1948 A heuristic exposition of Wiener’s mathematical theory of prediction and filtering. Zbl 0036.21502Levinson, Norman 8 1947 The asymptotic behaviour of a system of linear differential equations. Zbl 0061.19706Levinson, Norman 32 1946 On the asymptotic shape of the cavity behind an axially symmetric nose moving through an ideal fluid. I. Zbl 0061.44506Levinson, N. 5 1946 Corrections to ’The Gontcharoff polynomials’. Zbl 0061.15110Levinson, Norman 2 1945 Transformation theory of non-linear differential equations of the second order. Zbl 0061.18910Levinson, Norman 50 1944 The Gontcharoff polynomials. Zbl 0060.22403Levinson, Norman 8 1944 On the existence of periodic solutions for second order differential equations with a forcing term. Zbl 0061.18909Levinson, Norman 32 1943 On a non-linear differential equation of the second order. Zbl 0061.18912Levinson, Norman 14 1943 A general equation for relaxation oscillations. Zbl 0061.18908Levinson, Norman; Smith, Oliver K. 82 1942 The growth of solutions of a differential equation. Zbl 0061.18605Boas, Mary L.; Boas, R. P. jun.; Levinson, Norman 9 1942 The growth of the solutions of a differential equation. Zbl 0024.39903Levinson, N. 5 1941 A theorem of Boas. Zbl 0024.42001Levinson, Norman 5 1941 A theorem of Boas. JFM 67.0270.03Levinson, N. 2 1941 An integral inequality of the Phragmen-Lindelöf type. Zbl 0024.21902Levinson, Norman 1 1941 Gap and density theorems. JFM 66.0332.01Levinson, N. 154 1940 Gap and density theorems. Zbl 0145.08003Levinson, Norman 96 1940 Restrictions imposed by certain functions on their Fourier transforms. JFM 66.0513.02Levinson, N. 1 1940 General gap Tauberian theorems: I. Zbl 0019.16102Levinson, Norman 2 1938 On a class of non-vanishing functions. JFM 62.0278.02Levinson, N. 10 1936 On the Poisson summability of Fourier series. Zbl 0013.35003Levinson, Norman 4 1936 On non-harmonic Fourier series. Zbl 0015.20804Levinson, Norman 3 1936 On non-harmonic Fourier series. JFM 62.0279.01Levinson, N. 2 1936 On a problem of Polya. Zbl 0015.30802Levinson, Norman 2 1936 On the closure of \(\{e^{i\lambda _n x}\}\). JFM 62.0277.02Levinson, N. 1 1936 On certain theorems of Pólya and Bernstein. JFM 62.0321.01Levinson, N. 1 1936 On a problem of Pólya. JFM 62.0354.02Levinson, N. 1 1936 On the non-vanishing of certain functions. Zbl 0014.06905Levinson, Norman 1 1936 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,774 Authors 23 Pečarić, Josip 23 Simon, Barry 20 Rynne, Bryan P. 17 Howes, Frederick A. 15 Brauer, Fred 15 Gesztesy, Fritz 14 Eastham, Michael S. P. 14 Johnson, Russell Allan 14 Villari, Gabriele 13 Cronin-Scanlon, Jane Smiley 13 Hinton, Don Barker 13 Hochstadt, Harry 13 Krall, Allan M. 13 Lutz, Donald A. 13 Mond, Bertram 13 Nesterov, Pavel Nikolaevich 13 Pinto, Manuel 12 Annaby, Mahmoud H. 12 Brown, B. Malcolm 12 Everitt, William Norrie 12 Franca, Matteo 12 Hanson, Morgan A. 12 Sedletskiĭ, Anatoliĭ Mechislavovich 12 Waltman, Paul Elvis 12 Zayed, Ahmed I. 11 Binding, Paul Anthony 11 Burton, Theodore Allen 11 Freedman, Herbert Irving 11 Remling, Christian 11 Shi, Yuming 11 Steuding, Jörn 10 Ugurlu, Ekin 10 Zettl, Anton 9 Harris, William A. jun. 9 Jódar Sanchez, Lucas Antonio 9 Levinson, Norman 9 Young, Robert M. 9 Zanolin, Fabio 8 Adeel, Muhammad 8 Agarwal, Ravi P. 8 Antman, Stuart S. 8 Conrey, John Brian 8 Eloe, Paul W. 8 Friedman, Charles N. 8 Hale, Jack Kenneth 8 Hastings, Stuart P. 8 Khan, Khuram Ali 8 Lai, Hang-Chin 8 Mirzoev, Karakhan Agakhan 8 Pečaric, Đilda 8 Shaw, J. K. 8 Sun, Jiong 7 Allahverdiev, Bilender Paşaoğlu 7 Andres, Jan 7 Aslanov, Afgan 7 Bailey, Paul B. 7 Bainov, Drumi Dimitrov 7 Barton, Paul I. 7 Bodine, Sigrun I. 7 Chen, Hebai 7 Christ, Michael 7 Kan-on, Yukio 7 Killip, Rowan 7 Lafitte, Olivier D. 7 Medina, Rigoberto 7 Naulin, Raúl M. 7 Nieto Roig, Juan Jose 7 O’Malley, Robert E. jun. 7 O’Regan, Donal 7 Ortega, Rafael 7 Pachpatte, Baburao Govindrao 7 Papanicolaou, Vassilis G. 7 Pearson, David B. 7 Peherstorfer, Franz 7 Robles, Nicolas 7 Russell, David L. 7 Saker, Samir H. 7 Sandstede, Björn 7 Sattinger, David H. 7 Strauss, Aaron 7 Troy, William C. 7 Weikard, Rudi 7 Wen, Chingfeng 7 Wu, Hsien-Chung 7 Yorke, James Alan 7 Zaharescu, Alexandru 7 Zumbrun, Kevin R. 6 Akhmet, Marat Ubaydulla 6 Al-Hammadi, Abdulaziz Sultan Ali 6 Atkinson, Frederick Valentine 6 Ben-Israel, Adi 6 Bhowmik, Mithun 6 Bingham, Nicholas Hugh 6 Cicogna, Giampaolo 6 Dickey, R. W. 6 Dolezal, Vaclav 6 Elaydi, Saber Nasr 6 Evans, William Desmond 6 Faierman, Melvin 6 Fulton, Charles T. ...and 4,674 more Authors all top 5 Cited in 580 Serials 450 Journal of Mathematical Analysis and Applications 285 Journal of Differential Equations 111 Proceedings of the American Mathematical Society 108 Transactions of the American Mathematical Society 79 Archive for Rational Mechanics and Analysis 60 Journal of Computational and Applied Mathematics 58 Physica D 55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 54 Communications in Mathematical Physics 53 Nonlinear Analysis. Theory, Methods & Applications 50 Applied Mathematics and Computation 50 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 49 Annali di Matematica Pura ed Applicata. Serie Quarta 48 Mathematical Notes 39 Journal of Mathematical Physics 39 Journal of Optimization Theory and Applications 37 Mathematical Biosciences 37 Journal of Functional Analysis 36 Mathematische Zeitschrift 35 Ukrainian Mathematical Journal 35 Advances in Mathematics 33 Journal of Mathematical Biology 33 Bulletin of the American Mathematical Society 31 Mathematische Nachrichten 30 International Journal of Control 30 Czechoslovak Mathematical Journal 28 Computers & Mathematics with Applications 28 Rocky Mountain Journal of Mathematics 28 Numerische Mathematik 28 Studies in Applied Mathematics 28 Journal of Dynamics and Differential Equations 24 Automatica 24 Mathematische Annalen 23 Journal d’Analyse Mathématique 23 Journal of Approximation Theory 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 23 Differential Equations 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Journal of Number Theory 22 Journal of Mathematical Sciences (New York) 21 Journal of the Franklin Institute 20 Journal of Applied Mathematics and Mechanics 20 Linear Algebra and its Applications 19 Monatshefte für Mathematik 18 Annales de l’Institut Fourier 17 Applicable Analysis 17 Acta Mathematica 17 Journal of Soviet Mathematics 17 Numerical Functional Analysis and Optimization 16 Bulletin of the Australian Mathematical Society 16 Inventiones Mathematicae 16 Quaestiones Mathematicae 16 Systems & Control Letters 16 Applied Mathematics Letters 16 Mathematical and Computer Modelling 16 Journal of Difference Equations and Applications 15 Mathematics of Computation 15 Acta Applicandae Mathematicae 15 Communications in Partial Differential Equations 15 Advances in Difference Equations 14 Journal of Computational Physics 14 Duke Mathematical Journal 14 Rendiconti del Circolo Matemàtico di Palermo. Serie II 14 Abstract and Applied Analysis 13 Physics of Fluids 13 Bulletin of Mathematical Biology 13 Integral Equations and Operator Theory 13 Results in Mathematics 13 Journal of Inequalities and Applications 13 Discrete and Continuous Dynamical Systems. Series B 12 Acta Mechanica 12 Communications on Pure and Applied Mathematics 12 Mathematical Methods in the Applied Sciences 12 Chaos, Solitons and Fractals 12 Archiv der Mathematik 12 Proceedings of the Edinburgh Mathematical Society. Series II 12 Siberian Mathematical Journal 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Nonlinear Analysis. Real World Applications 12 Proceedings of the Steklov Institute of Mathematics 11 International Journal of Engineering Science 11 Journal of Statistical Physics 11 Arkiv för Matematik 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 The Journal of Geometric Analysis 11 Calculus of Variations and Partial Differential Equations 11 Communications in Nonlinear Science and Numerical Simulation 11 Journal of Dynamical and Control Systems 10 International Journal of Systems Science 10 Letters in Mathematical Physics 10 Lithuanian Mathematical Journal 10 Applied Mathematics and Optimization 10 Mathematika 10 Tôhoku Mathematical Journal. Second Series 10 Qualitative Theory of Dynamical Systems 10 SIAM Journal on Applied Dynamical Systems 10 Boundary Value Problems 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Theoretical and Mathematical Physics 9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV ...and 480 more Serials all top 5 Cited in 61 Fields 1,665 Ordinary differential equations (34-XX) 689 Partial differential equations (35-XX) 398 Operator theory (47-XX) 375 Dynamical systems and ergodic theory (37-XX) 268 Numerical analysis (65-XX) 252 Systems theory; control (93-XX) 236 Biology and other natural sciences (92-XX) 182 Fluid mechanics (76-XX) 180 Probability theory and stochastic processes (60-XX) 166 Number theory (11-XX) 163 Calculus of variations and optimal control; optimization (49-XX) 147 Harmonic analysis on Euclidean spaces (42-XX) 136 Operations research, mathematical programming (90-XX) 129 Quantum theory (81-XX) 126 Real functions (26-XX) 124 Functions of a complex variable (30-XX) 121 Mechanics of particles and systems (70-XX) 102 Mechanics of deformable solids (74-XX) 100 Functional analysis (46-XX) 95 Difference and functional equations (39-XX) 89 Integral equations (45-XX) 89 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 85 Differential geometry (53-XX) 78 Global analysis, analysis on manifolds (58-XX) 71 Approximations and expansions (41-XX) 66 Statistical mechanics, structure of matter (82-XX) 61 Special functions (33-XX) 58 Information and communication theory, circuits (94-XX) 47 Statistics (62-XX) 32 Computer science (68-XX) 31 Several complex variables and analytic spaces (32-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 30 Optics, electromagnetic theory (78-XX) 27 Classical thermodynamics, heat transfer (80-XX) 26 Abstract harmonic analysis (43-XX) 26 Integral transforms, operational calculus (44-XX) 25 Relativity and gravitational theory (83-XX) 23 Topological groups, Lie groups (22-XX) 19 Algebraic geometry (14-XX) 18 General topology (54-XX) 17 Combinatorics (05-XX) 13 Measure and integration (28-XX) 13 Potential theory (31-XX) 12 Mathematical logic and foundations (03-XX) 11 Convex and discrete geometry (52-XX) 11 Manifolds and cell complexes (57-XX) 11 Astronomy and astrophysics (85-XX) 9 History and biography (01-XX) 8 Sequences, series, summability (40-XX) 8 Geophysics (86-XX) 7 Nonassociative rings and algebras (17-XX) 7 Group theory and generalizations (20-XX) 7 Geometry (51-XX) 6 Field theory and polynomials (12-XX) 4 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 3 Algebraic topology (55-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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