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## Levinson, Norman

Compute Distance To:
 Author ID: levinson.norman Published as: Levinson, N.; Levinson, Norman External Links: MGP · Wikidata · GND · MacTutor
 Documents Indexed: 147 Publications since 1934, including 5 Books
all top 5

#### Co-Authors

 125 single-authored 5 Coddington, Earl A. 3 Redheffer, Raymond M. 2 Hardy, Godfrey Harold 2 McKean, Henry P. jun. 1 Boas, Mary L. 1 Boas, Ralph Philip jun. 1 Bogert, B. P. 1 Duff, George Francis Denton 1 Farnell, A. B. 1 Flatto, Leopold 1 Haber, Seymour 1 Kemp, R. R. D. 1 Langenhop, Carl Eric 1 Levin, Jacob J. 1 Montgomery, Hugh Lowell 1 Sherman, Thomas Oakley 1 Smith, Oliver K.
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 Functions of a complex variable (30-XX) 2 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 History and biography (01-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)

#### Citations contained in zbMATH Open

100 Publications have been cited 5,246 times in 4,212 Documents Cited by Year
Theory of ordinary differential equations. Zbl 0064.33002
Coddington, Earl A.; Levinson, Norman
1955
On the nature of the spectrum of singular second order linear differential equations. Zbl 0042.32602
Coddington, E. A.; Levinson, N.
1951
Gap and density theorems. JFM 66.0332.01
Levinson, N.
1940
Gap and density theorems. Zbl 0145.08003
Levinson, Norman
1940
The asymptotic nature of solutions of linear systems of differential equations. Zbl 0040.19402
Levinson, Norman
1948
A general equation for relaxation oscillations. Zbl 0061.18908
Levinson, Norman; Smith, Oliver K.
1942
More than one third of zeros of Riemann’s zeta-function are on $$\sigma=1/2$$. Zbl 0281.10017
Levinson, Norman
1974
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 0036.06801
Levinson, Norman
1950
Transformation theory of non-linear differential equations of the second order. Zbl 0061.18910
Levinson, Norman
1944
The inverse Sturm-Liouville problem. Zbl 0041.42310
Levinson, Norman
1949
Linear programming in complex space. Zbl 0136.13802
Levinson, N.
1966
A class of continuous linear programming problems. Zbl 0141.35601
Levinson, N.
1966
A second order differential equation with singular solutions. Zbl 0041.42311
Levinson, Norman
1949
Periodic solutions of singularly perturbed systems. Zbl 0066.07302
Flatto, L.; Levinson, N.
1955
Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025
Levinson, Norman; Montgomery, Hugh L.
1974
A nonlinear Volterra equation arising in the theory of superfluidity. Zbl 0094.08501
Levinson, N.
1960
Generalization of an inequality of Ky Fan. Zbl 0128.05803
Levinson, N.
1964
Singular perturbations of non-linear systems of differential equations and an associated boundary layer equation. Zbl 0055.08204
Levin, J. J.; Levinson, Norman
1954
On the existence of periodic solutions for second order differential equations with a forcing term. Zbl 0061.18909
Levinson, Norman
1943
Weighted trigonometrical approximation on $$R^ 1$$ with application to the germ field of a stationary Gaussian noise. Zbl 0126.13901
Levinson, N.; McKean, H. jun.
1964
A second order differential equation with singular solutions. Zbl 0045.36501
Levinson, Norman
1949
The asymptotic behaviour of a system of linear differential equations. Zbl 0061.19706
Levinson, Norman
1946
Generalizations of an inequality of Hardy. Zbl 0126.28101
Levinson, N.
1964
Complex variables. Zbl 0201.40202
Levinson, N.; Redheffer, R. M.
1970
The inverse Sturm-Liouville problem. Zbl 0045.36402
Levinson, Norman
1949
A boundary value problem for a nonlinear differential equation with a small parameter. Zbl 0046.09503
Coddington, Earl A.; Levinson, Norman
1952
On the uniqueness of the potential in a Schrödinger equation for a given asymptotic phase. Zbl 0032.20702
Levinson, N.
1949
Small periodic perturbations of an autonomous system with a stable orbit. Zbl 0038.24903
Levinson, Norman
1950
A simplified proof of the expansion theorem for singular second order linear differential equations. Zbl 0044.31302
Levinson, Norman
1951
Perturbations of discontinuous solutions of non-linear systems of differential equations. Zbl 0039.31404
Levinson, Norman
1950
Almost all roots of $$\zeta(s)=a$$ are arbitrarily close to $$\sigma=1/2$$. Zbl 0301.10033
Levinson, Norman
1975
Positive eigenfunctions for $$\Delta u+\lambda f(u) = 0$$. Zbl 0108.28902
Levinson, N.
1962
Criteria for the limit-point case for second order linear differential operators. Zbl 0033.18102
Levinson, Norman
1949
Certain explicit relationships between phase shift and scattering potential. Zbl 0050.22704
Levinson, Norman
1953
On a non-linear differential equation of the second order. Zbl 0061.18912
Levinson, Norman
1943
On an inequality of Opial and Beesack. Zbl 0134.27902
Levinson, N.
1964
A boundary value problem for a singulary perturbed differential equation. Zbl 0066.06503
Haber, S.; Levinson, N.
1955
Minimax, Liapunov and ’bang-bang’. Zbl 0201.48002
Levinson, N.
1966
Dirichlet problem for $$\Delta u = f(P,u)$$. Zbl 0124.30901
Levinson, N.
1963
Simplified treatment of integrals of Cauchy type, the Hilbert problem and singular integral equations. Appendix: Poincaré-Bertrand formula. Zbl 0158.08001
Levinson, N.
1965
Limiting theorems for age-dependent branching processes. Zbl 0109.36101
Levinson, N.
1960
A heuristic exposition of Wiener’s mathematical theory of prediction and filtering. Zbl 0036.21502
Levinson, Norman
1947
A canonical form for an analytic function of several variables at a critical point. Zbl 0192.18201
Levinson, N.
1960
The Gontcharoff polynomials. Zbl 0060.22403
Levinson, Norman
1944
Transformation of an analytic function of several variables to a canonical form. Zbl 0100.29002
Levinson, N.
1961
The growth of solutions of a differential equation. Zbl 0061.18605
Boas, Mary L.; Boas, R. P. jun.; Levinson, Norman
1942
A theorem of Boas. Zbl 0024.42001
Levinson, Norman
1941
On a class of non-vanishing functions. JFM 62.0278.02
Levinson, N.
1936
A polynomial canonical form for certain analytic functions of two variables at a critical point. Zbl 0192.18202
Levinson, N.
1960
A boundary value problem for a singularly perturbed differential equation. Zbl 0173.35301
Levinson, N.
1958
Perturbations of linear systems with constant coefficients possessing periodic solutions. Zbl 0047.08701
Coddington, E. A.; Levinson, N.
1952
On stability of non-linear systems of differential equations. Zbl 0039.31501
Levinson, Norman
1949
$$\Omega$$-theorems for the Riemann zeta-function. Zbl 0213.06402
Levinson, Norman
1972
Limiting theorems for Galton-Watson branching process. Zbl 0229.60057
Levinson, Norman
1959
On the asymptotic shape of the cavity behind an axially symmetric nose moving through an ideal fluid. I. Zbl 0061.44506
Levinson, N.
1946
The growth of the solutions of a differential equation. Zbl 0024.39903
Levinson, N.
1941
On non-harmonic Fourier series. Zbl 0015.20804
Levinson, Norman
1936
Deduction of semi-optimal mollifier for obtaining lower bound for N$$_0$$(T) for Riemann’s zeta-function. Zbl 0294.10027
Levinson, Norman
1975
Uniqueness and the convergence of successive approximations. Zbl 0047.08305
Coddington, E. A.; Levinson, N.
1952
On the non-uniqueness of periodic solutions for an asymmetric Liénard equation. Zbl 0046.31701
Duff, G. F. D.; Levinson, N.
1952
A simple second order differential equation with singular motions. Zbl 0038.24904
Levinson, N.
1948
On the Poisson summability of Fourier series. Zbl 0013.35003
Levinson, Norman
1936
On the Szasz-Müntz theorem. Zbl 0294.41020
Levinson, Norman
1974
At least one-third of zeros of Riemann’s zeta-function are on $$\sigma = 1/2$$. Zbl 0277.10032
Levinson, Norman
1974
On theorems of Berlowitz and Berndt. Zbl 0224.10042
Levinson, N.
1971
Summing certain number theoretic series arising in the sieve. Zbl 0157.09501
Levinson, N.
1968
A variant of the Selberg inequality. Zbl 0141.04601
Levinson, N.
1965
The stability of linear, real, periodic self-adjoint systems of differential equations. Zbl 0122.32504
Levinson, N.
1963
Forced periodic solutions of a stable non-linear system of differential equations. Zbl 0042.09901
Farnell, A. B.; Langenhop, C. E.; Levinson, N.
1951
Separation of Laplace’s equation. Zbl 0041.22304
Levinson, N.; Bogert, B.; Redheffer, R. M.
1949
A simplification in the proof that $$N_0\;(T)>(1/3)$$ $$N(T)$$ for Riemann’s zeta-function. Zbl 0321.10035
Levinson, Norman
1975
Zeros of derivative of Riemann’s $$\xi$$-function. Zbl 0289.10027
Levinson, Norman
1974
Generalization of recent method giving lower bound for $$N_0(T)$$ of Riemann’s zeta-function. Zbl 0287.10024
Levinson, Norman
1974
On the elementary character of Wiener’s general Tauberian theorem. Zbl 0256.40007
Levinson, Norman
1973
Asymptotic formula for the coordinates of the zeros of sections of the zeta function, $$\zeta_n$$(s), near s = 1. Zbl 0253.10030
Levinson, Norman
1973
Remarks on a formula of Riemann for his zeta-function. Zbl 0252.10042
Levinson, Norman
1973
A motivated account of an elementary proof of the prime number theorem. Zbl 0172.06001
Levinson, N.
1969
The expansion theorem for singular self-adjoint linear differential operators. Zbl 0055.31605
Levinson, Norman
1954
Addendum to “A simplified proof of the expansion theorem for singular second order linear differential equations”. Zbl 0045.04602
Levinson, Norman
1951
Corrections to ’The Gontcharoff polynomials’. Zbl 0061.15110
Levinson, Norman
1945
General gap Tauberian theorems: I. Zbl 0019.16102
Levinson, Norman
1938
On a problem of Polya. Zbl 0015.30802
Levinson, Norman
1936
On non-harmonic Fourier series. JFM 62.0279.01
Levinson, N.
1936
On the closure of $$\left\{e^{i \lambda_n x}\right\}$$ and integral functions. JFM 61.0268.02
Levinson, N.
1935
$$\Omega$$-theorems for quotients of zeta-functions at combinations of points. Zbl 0238.10024
Levinson, Norman
1972
The sum of the intersections of a cone with a linear subspace and of dual cone with orthogonal complementary subspace. Zbl 0158.19801
Levinson, N.; Sherman, T. O.
1966
One-sided inequalities for elliptic differential operators. Zbl 0135.15502
Levinson, N.
1965
Weighted trigonometrical approximation on $$R^1$$ with application to the germ field of a stationary Gaussian process. Zbl 0119.14103
Levinson, N.; McKean, H. P. jun.
1964
On $$u''+(1+\lambda g(x))u=0$$ for $$\int_0^\infty | g(x) | dx < \infty$$. Zbl 0090.05802
Kemp, R. R. D.; Levinson, Norman
1959
Remark about Wintner’s comparison theorem. Zbl 0083.07704
Levinson, Norman
1958
Transform and inverse transform expansions for singular self-adjoint differential operators. Zbl 0081.07903
Levinson, N.
1958
An integral inequality of the Phragmen-Lindelöf type. Zbl 0024.21902
Levinson, Norman
1941
A theorem of Boas. JFM 67.0270.03
Levinson, N.
1941
Restrictions imposed by certain functions on their Fourier transforms. JFM 66.0513.02
Levinson, N.
1940
On a class of non-vanishing functions. Zbl 0014.30101
Levinson, Norman
1936
On the non-vanishing of certain functions. Zbl 0014.06905
Levinson, Norman
1936
On a theorem of Ingham. Zbl 0013.25802
Levinson, Norman
1936
On a problem of Pólya. JFM 62.0354.02
Levinson, N.
1936
On the closure of $$\{e^{i\lambda _n x}\}$$. JFM 62.0277.02
Levinson, N.
1936
On the closure of $$\{e^{i\lambda_nx}\}$$ and integral functions. Zbl 0012.21302
Levinson, Norman
1935
Almost all roots of $$\zeta(s)=a$$ are arbitrarily close to $$\sigma=1/2$$. Zbl 0301.10033
Levinson, Norman
1975
Deduction of semi-optimal mollifier for obtaining lower bound for N$$_0$$(T) for Riemann’s zeta-function. Zbl 0294.10027
Levinson, Norman
1975
A simplification in the proof that $$N_0\;(T)>(1/3)$$ $$N(T)$$ for Riemann’s zeta-function. Zbl 0321.10035
Levinson, Norman
1975
More than one third of zeros of Riemann’s zeta-function are on $$\sigma=1/2$$. Zbl 0281.10017
Levinson, Norman
1974
Zeros of the derivatives of the Riemann zeta-function. Zbl 0287.10025
Levinson, Norman; Montgomery, Hugh L.
1974
On the Szasz-Müntz theorem. Zbl 0294.41020
Levinson, Norman
1974
At least one-third of zeros of Riemann’s zeta-function are on $$\sigma = 1/2$$. Zbl 0277.10032
Levinson, Norman
1974
Zeros of derivative of Riemann’s $$\xi$$-function. Zbl 0289.10027
Levinson, Norman
1974
Generalization of recent method giving lower bound for $$N_0(T)$$ of Riemann’s zeta-function. Zbl 0287.10024
Levinson, Norman
1974
On the elementary character of Wiener’s general Tauberian theorem. Zbl 0256.40007
Levinson, Norman
1973
Asymptotic formula for the coordinates of the zeros of sections of the zeta function, $$\zeta_n$$(s), near s = 1. Zbl 0253.10030
Levinson, Norman
1973
Remarks on a formula of Riemann for his zeta-function. Zbl 0252.10042
Levinson, Norman
1973
$$\Omega$$-theorems for the Riemann zeta-function. Zbl 0213.06402
Levinson, Norman
1972
$$\Omega$$-theorems for quotients of zeta-functions at combinations of points. Zbl 0238.10024
Levinson, Norman
1972
On theorems of Berlowitz and Berndt. Zbl 0224.10042
Levinson, N.
1971
Complex variables. Zbl 0201.40202
Levinson, N.; Redheffer, R. M.
1970
A motivated account of an elementary proof of the prime number theorem. Zbl 0172.06001
Levinson, N.
1969
Summing certain number theoretic series arising in the sieve. Zbl 0157.09501
Levinson, N.
1968
Linear programming in complex space. Zbl 0136.13802
Levinson, N.
1966
A class of continuous linear programming problems. Zbl 0141.35601
Levinson, N.
1966
Minimax, Liapunov and ’bang-bang’. Zbl 0201.48002
Levinson, N.
1966
The sum of the intersections of a cone with a linear subspace and of dual cone with orthogonal complementary subspace. Zbl 0158.19801
Levinson, N.; Sherman, T. O.
1966
Simplified treatment of integrals of Cauchy type, the Hilbert problem and singular integral equations. Appendix: Poincaré-Bertrand formula. Zbl 0158.08001
Levinson, N.
1965
A variant of the Selberg inequality. Zbl 0141.04601
Levinson, N.
1965
One-sided inequalities for elliptic differential operators. Zbl 0135.15502
Levinson, N.
1965
Generalization of an inequality of Ky Fan. Zbl 0128.05803
Levinson, N.
1964
Weighted trigonometrical approximation on $$R^ 1$$ with application to the germ field of a stationary Gaussian noise. Zbl 0126.13901
Levinson, N.; McKean, H. jun.
1964
Generalizations of an inequality of Hardy. Zbl 0126.28101
Levinson, N.
1964
On an inequality of Opial and Beesack. Zbl 0134.27902
Levinson, N.
1964
Weighted trigonometrical approximation on $$R^1$$ with application to the germ field of a stationary Gaussian process. Zbl 0119.14103
Levinson, N.; McKean, H. P. jun.
1964
Dirichlet problem for $$\Delta u = f(P,u)$$. Zbl 0124.30901
Levinson, N.
1963
The stability of linear, real, periodic self-adjoint systems of differential equations. Zbl 0122.32504
Levinson, N.
1963
Positive eigenfunctions for $$\Delta u+\lambda f(u) = 0$$. Zbl 0108.28902
Levinson, N.
1962
Transformation of an analytic function of several variables to a canonical form. Zbl 0100.29002
Levinson, N.
1961
A nonlinear Volterra equation arising in the theory of superfluidity. Zbl 0094.08501
Levinson, N.
1960
Limiting theorems for age-dependent branching processes. Zbl 0109.36101
Levinson, N.
1960
A canonical form for an analytic function of several variables at a critical point. Zbl 0192.18201
Levinson, N.
1960
A polynomial canonical form for certain analytic functions of two variables at a critical point. Zbl 0192.18202
Levinson, N.
1960
Limiting theorems for Galton-Watson branching process. Zbl 0229.60057
Levinson, Norman
1959
On $$u''+(1+\lambda g(x))u=0$$ for $$\int_0^\infty | g(x) | dx < \infty$$. Zbl 0090.05802
Kemp, R. R. D.; Levinson, Norman
1959
A boundary value problem for a singularly perturbed differential equation. Zbl 0173.35301
Levinson, N.
1958
Remark about Wintner’s comparison theorem. Zbl 0083.07704
Levinson, Norman
1958
Transform and inverse transform expansions for singular self-adjoint differential operators. Zbl 0081.07903
Levinson, N.
1958
Theory of ordinary differential equations. Zbl 0064.33002
Coddington, Earl A.; Levinson, Norman
1955
Periodic solutions of singularly perturbed systems. Zbl 0066.07302
Flatto, L.; Levinson, N.
1955
A boundary value problem for a singulary perturbed differential equation. Zbl 0066.06503
Haber, S.; Levinson, N.
1955
Singular perturbations of non-linear systems of differential equations and an associated boundary layer equation. Zbl 0055.08204
Levin, J. J.; Levinson, Norman
1954
The expansion theorem for singular self-adjoint linear differential operators. Zbl 0055.31605
Levinson, Norman
1954
Certain explicit relationships between phase shift and scattering potential. Zbl 0050.22704
Levinson, Norman
1953
A boundary value problem for a nonlinear differential equation with a small parameter. Zbl 0046.09503
Coddington, Earl A.; Levinson, Norman
1952
Perturbations of linear systems with constant coefficients possessing periodic solutions. Zbl 0047.08701
Coddington, E. A.; Levinson, N.
1952
Uniqueness and the convergence of successive approximations. Zbl 0047.08305
Coddington, E. A.; Levinson, N.
1952
On the non-uniqueness of periodic solutions for an asymmetric Liénard equation. Zbl 0046.31701
Duff, G. F. D.; Levinson, N.
1952
On the nature of the spectrum of singular second order linear differential equations. Zbl 0042.32602
Coddington, E. A.; Levinson, N.
1951
A simplified proof of the expansion theorem for singular second order linear differential equations. Zbl 0044.31302
Levinson, Norman
1951
Forced periodic solutions of a stable non-linear system of differential equations. Zbl 0042.09901
Farnell, A. B.; Langenhop, C. E.; Levinson, N.
1951
Addendum to “A simplified proof of the expansion theorem for singular second order linear differential equations”. Zbl 0045.04602
Levinson, Norman
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 0036.06801
Levinson, Norman
1950
Small periodic perturbations of an autonomous system with a stable orbit. Zbl 0038.24903
Levinson, Norman
1950
Perturbations of discontinuous solutions of non-linear systems of differential equations. Zbl 0039.31404
Levinson, Norman
1950
The inverse Sturm-Liouville problem. Zbl 0041.42310
Levinson, Norman
1949
A second order differential equation with singular solutions. Zbl 0041.42311
Levinson, Norman
1949
A second order differential equation with singular solutions. Zbl 0045.36501
Levinson, Norman
1949
The inverse Sturm-Liouville problem. Zbl 0045.36402
Levinson, Norman
1949
On the uniqueness of the potential in a Schrödinger equation for a given asymptotic phase. Zbl 0032.20702
Levinson, N.
1949
Criteria for the limit-point case for second order linear differential operators. Zbl 0033.18102
Levinson, Norman
1949
On stability of non-linear systems of differential equations. Zbl 0039.31501
Levinson, Norman
1949
Separation of Laplace’s equation. Zbl 0041.22304
Levinson, N.; Bogert, B.; Redheffer, R. M.
1949
The asymptotic nature of solutions of linear systems of differential equations. Zbl 0040.19402
Levinson, Norman
1948
A simple second order differential equation with singular motions. Zbl 0038.24904
Levinson, N.
1948
A heuristic exposition of Wiener’s mathematical theory of prediction and filtering. Zbl 0036.21502
Levinson, Norman
1947
The asymptotic behaviour of a system of linear differential equations. Zbl 0061.19706
Levinson, Norman
1946
On the asymptotic shape of the cavity behind an axially symmetric nose moving through an ideal fluid. I. Zbl 0061.44506
Levinson, N.
1946
Corrections to ’The Gontcharoff polynomials’. Zbl 0061.15110
Levinson, Norman
1945
Transformation theory of non-linear differential equations of the second order. Zbl 0061.18910
Levinson, Norman
1944
The Gontcharoff polynomials. Zbl 0060.22403
Levinson, Norman
1944
On the existence of periodic solutions for second order differential equations with a forcing term. Zbl 0061.18909
Levinson, Norman
1943
On a non-linear differential equation of the second order. Zbl 0061.18912
Levinson, Norman
1943
A general equation for relaxation oscillations. Zbl 0061.18908
Levinson, Norman; Smith, Oliver K.
1942
The growth of solutions of a differential equation. Zbl 0061.18605
Boas, Mary L.; Boas, R. P. jun.; Levinson, Norman
1942
A theorem of Boas. Zbl 0024.42001
Levinson, Norman
1941
The growth of the solutions of a differential equation. Zbl 0024.39903
Levinson, N.
1941
An integral inequality of the Phragmen-Lindelöf type. Zbl 0024.21902
Levinson, Norman
1941
A theorem of Boas. JFM 67.0270.03
Levinson, N.
1941
Gap and density theorems. JFM 66.0332.01
Levinson, N.
1940
Gap and density theorems. Zbl 0145.08003
Levinson, Norman
1940
Restrictions imposed by certain functions on their Fourier transforms. JFM 66.0513.02
Levinson, N.
1940
General gap Tauberian theorems: I. Zbl 0019.16102
Levinson, Norman
1938
On a class of non-vanishing functions. JFM 62.0278.02
Levinson, N.
1936
On non-harmonic Fourier series. Zbl 0015.20804
Levinson, Norman
1936
On the Poisson summability of Fourier series. Zbl 0013.35003
Levinson, Norman
1936
On a problem of Polya. Zbl 0015.30802
Levinson, Norman
1936
On non-harmonic Fourier series. JFM 62.0279.01
Levinson, N.
1936
On a class of non-vanishing functions. Zbl 0014.30101
Levinson, Norman
1936
On the non-vanishing of certain functions. Zbl 0014.06905
Levinson, Norman
1936
On a theorem of Ingham. Zbl 0013.25802
Levinson, Norman
1936
On a problem of Pólya. JFM 62.0354.02
Levinson, N.
1936
On the closure of $$\{e^{i\lambda _n x}\}$$. JFM 62.0277.02
Levinson, N.
1936
On the closure of $$\left\{e^{i \lambda_n x}\right\}$$ and integral functions. JFM 61.0268.02
Levinson, N.
1935
On the closure of $$\{e^{i\lambda_nx}\}$$ and integral functions. Zbl 0012.21302
Levinson, Norman
1935
all top 5

#### Cited by 4,750 Authors

 22 Simon, Barry 21 Rynne, Bryan P. 16 Hochstadt, Harry 16 Howes, Fred A. 15 Brauer, Fred 15 Pečarić, Josip 14 Eastham, Michael S. P. 14 Johnson, Russell Allan 14 Krall, Allan M. 13 Cronin-Scanlon, Jane Smiley 13 Gesztesy, Fritz 13 Hinton, Don Barker 13 Lutz, Donald A. 13 Mond, Bertram 12 Brown, B. Malcolm 12 Everitt, William Norrie 12 Hanson, Morgan A. 12 Nguyen Thanh Long 12 Pinto, Manuel 12 Shi, Yuming 12 Waltman, Paul Elvis 12 Zayed, Ahmed I. 11 Annaby, Mahmoud H. 11 Binding, Paul Anthony 11 Burton, Theodore Allen 11 Freedman, Herbert Irving 11 Le Thi Phuong Ngoc 11 Nesterov, Pavel Nikolaevich 11 Remling, Christian 11 Villari, Gabriele 10 Franca, Matteo 10 Ugurlu, Ekin 10 Zettl, Anton 9 Harris, William A. jun. 9 Jódar Sanchez, Lucas Antonio 9 Levinson, Norman 9 Sedletskiĭ, Anatoliĭ Mechislavovich 9 Young, Robert M. 8 Agarwal, Ravi P. 8 Antman, Stuart S. 8 Conrey, John Brian 8 Friedman, Charles N. 8 Hale, Jack Kenneth 8 Hastings, Stuart P. 8 Lafitte, Olivier D. 8 Mirzoev, Karakhan Agakhan 8 O’Malley, Robert E. jun. 8 Shaw, J. K. 8 Sun, Jiong 7 Akhmet, Marat Ubaydulla 7 Bailey, Paul B. 7 Bainov, Drumi Dimitrov 7 Barton, Paul I. 7 Christ, Michael 7 Eloe, Paul W. 7 Kan-on, Yukio 7 Medina, Rigoberto 7 Naulin, Raúl M. 7 O’Regan, Donal 7 Ortega, Rafael 7 Pachpatte, Baburao Govindrao 7 Papanicolaou, Vassilis G. 7 Peherstorfer, Franz 7 Russell, David L. 7 Saker, Samir H. 7 Sandstede, Björn 7 Sattinger, David H. 7 Steuding, Jörn 7 Strauss, Aaron 7 Troy, William C. 7 Weikard, Rudi 7 Wen, Chingfeng 7 Yorke, James Alan 7 Zumbrun, Kevin R. 6 Al-Hammadi, Abdulaziz Sultan Ali 6 Allahverdiev, Bilender Paşaoğlu 6 Andres, Jan 6 Atkinson, Frederick Valentine 6 Ben-Israel, Adi 6 Bingham, Nicholas Hugh 6 Bodine, Sigrun I. 6 Carlson, Robert C. 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. 6 Garunkštis, Ramūnas 6 Goldberg, Wallace 6 Gonek, Steven M. 6 Hoppensteadt, Frank C. 6 Kaul, R. N. 6 Ki, Haseo 6 Killip, Rowan 6 Kiselev, Alexander A. 6 Li, Yong 6 Maison, Dieter 6 McKean, Henry P. jun. ...and 4,650 more Authors
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#### Cited in 536 Serials

 467 Journal of Mathematical Analysis and Applications 291 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 62 Journal of Computational and Applied Mathematics 62 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 57 Nonlinear Analysis. Theory, Methods & Applications 54 Physica D 52 Communications in Mathematical Physics 51 Annali di Matematica Pura ed Applicata. Serie Quarta 49 Applied Mathematics and Computation 49 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 48 Mathematical Notes 40 Mathematical Biosciences 39 Journal of Mathematical Physics 38 Journal of Functional Analysis 38 Journal of Optimization Theory and Applications 34 Mathematische Zeitschrift 33 Ukrainian Mathematical Journal 33 Advances in Mathematics 33 Bulletin of the American Mathematical Society 32 Journal of Mathematical Biology 32 Automatica 31 Mathematische Nachrichten 30 International Journal of Control 29 Computers & Mathematics with Applications 29 Czechoslovak Mathematical Journal 28 Studies in Applied Mathematics 27 Numerische Mathematik 25 Journal of the Franklin Institute 25 Rocky Mountain Journal of Mathematics 25 Journal of Approximation Theory 23 Journal d’Analyse Mathématique 23 Journal of Dynamics and Differential Equations 22 Journal of Applied Mathematics and Mechanics 22 Journal of Number Theory 22 Mathematische Annalen 21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Systems & Control Letters 19 Linear Algebra and its Applications 19 Journal of Mathematical Sciences (New York) 18 Applicable Analysis 18 Journal of Computational Physics 18 Applied Mathematics Letters 18 Differential Equations 18 Nonlinear Analysis. Real World Applications 17 Acta Mathematica 17 Annales de l’Institut Fourier 17 Journal of Soviet Mathematics 17 Mathematical and Computer Modelling 16 Bulletin of the Australian Mathematical Society 16 Inventiones Mathematicae 16 Monatshefte für Mathematik 16 Numerical Functional Analysis and Optimization 16 Journal of Difference Equations and Applications 16 Abstract and Applied Analysis 15 Mathematics of Computation 15 Quaestiones Mathematicae 14 International Journal of Engineering Science 14 Rendiconti del Circolo Matemàtico di Palermo. Serie II 14 Communications in Partial Differential Equations 13 Physics of Fluids 13 Duke Mathematical Journal 13 Integral Equations and Operator Theory 13 Acta Applicandae Mathematicae 12 Communications on Pure and Applied Mathematics 12 Journal of Statistical Physics 12 Mathematical Methods in the Applied Sciences 12 Bulletin of Mathematical Biology 12 Archiv der Mathematik 12 Proceedings of the Edinburgh Mathematical Society. Series II 12 Results in Mathematics 12 Siberian Mathematical Journal 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Acta Mechanica 11 Arkiv för Matematik 11 Chaos, Solitons and Fractals 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 Calculus of Variations and Partial Differential Equations 11 Discrete and Continuous Dynamical Systems. Series B 10 International Journal of Systems Science 10 Letters in Mathematical Physics 10 Mathematika 10 Tohoku Mathematical Journal. Second Series 10 Bulletin of the American Mathematical Society. New Series 10 Journal of Dynamical and Control Systems 10 Proceedings of the Steklov Institute of Mathematics 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 9 Applied Mathematics and Optimization 9 Communications in Nonlinear Science and Numerical Simulation 9 International Journal of Control, I. Series 8 Lithuanian Mathematical Journal 8 Journal of Economic Theory 8 Theoretical Population Biology 8 Stochastic Analysis and Applications 8 Applied Numerical Mathematics ...and 436 more Serials
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#### Cited in 61 Fields

 1,618 Ordinary differential equations (34-XX) 661 Partial differential equations (35-XX) 383 Operator theory (47-XX) 353 Dynamical systems and ergodic theory (37-XX) 261 Numerical analysis (65-XX) 258 Systems theory; control (93-XX) 219 Biology and other natural sciences (92-XX) 183 Fluid mechanics (76-XX) 171 Probability theory and stochastic processes (60-XX) 150 Calculus of variations and optimal control; optimization (49-XX) 146 Number theory (11-XX) 138 Harmonic analysis on Euclidean spaces (42-XX) 127 Operations research, mathematical programming (90-XX) 122 Quantum theory (81-XX) 116 Functions of a complex variable (30-XX) 115 Mechanics of particles and systems (70-XX) 105 Real functions (26-XX) 103 Mechanics of deformable solids (74-XX) 95 Functional analysis (46-XX) 87 Difference and functional equations (39-XX) 85 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 84 Integral equations (45-XX) 78 Differential geometry (53-XX) 75 Global analysis, analysis on manifolds (58-XX) 67 Approximations and expansions (41-XX) 61 Statistical mechanics, structure of matter (82-XX) 55 Special functions (33-XX) 50 Information and communication theory, circuits (94-XX) 43 Statistics (62-XX) 28 Several complex variables and analytic spaces (32-XX) 28 Computer science (68-XX) 28 Optics, electromagnetic theory (78-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 26 Integral transforms, operational calculus (44-XX) 25 Relativity and gravitational theory (83-XX) 24 Classical thermodynamics, heat transfer (80-XX) 23 Topological groups, Lie groups (22-XX) 22 Abstract harmonic analysis (43-XX) 19 Algebraic geometry (14-XX) 17 General topology (54-XX) 15 Combinatorics (05-XX) 13 Mathematical logic and foundations (03-XX) 13 Measure and integration (28-XX) 13 Potential theory (31-XX) 11 Convex and discrete geometry (52-XX) 11 Astronomy and astrophysics (85-XX) 10 Manifolds and cell complexes (57-XX) 9 History and biography (01-XX) 9 Nonassociative rings and algebras (17-XX) 9 Sequences, series, summability (40-XX) 8 Field theory and polynomials (12-XX) 7 Group theory and generalizations (20-XX) 7 Geophysics (86-XX) 6 Geometry (51-XX) 5 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)

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