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Selected Papers of Norman Levinson John Nohel

Selected Papers of Norman Levinson By John Nohel

Selected Papers of Norman Levinson by John Nohel


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Summary

Norman Levinson (1912-1975) was a mathematician of international repute. This collection of his selected papers bears witness to the profound influence Levinson had on research in mathematical analysis with applications to problems in science and technology.

Selected Papers of Norman Levinson Summary

Selected Papers of Norman Levinson: Volume 2 by John Nohel

Norman Levinson (1912-1975) was a mathematician of international repute. This collection of his selected papers bears witness to the profound influence Levinson had on research in mathematical analysis with applications to problems in science and technology. Levinson's originality is reflected in his fundamental contributions to complex, harmonic and stochastic equations, and to analytic number theory, where he continued to make significant advances toward resolving the Riemann hypothesis up to the end of his life. The two volumes are divided by topic, with commentary by some of those who have felt the impact of Levinson's legacy.

Table of Contents

- Volume 2.- VIII. Harmonic and Complex Analysis1.- Commentary on Gap and Density Theorems by Raymond Redheffer.- [L 8] On the Closure of $$\left\{ {{e^{i{\lambda _n}x}}} \right\}$$ (1936).- [L 7] On a Class of Non-Vanishing Functions (1936).- [L 9] On a Problem of Polya (1936).- [L 10] On Certain Theorems of Polya and Bernstein (1936).- [L 11] On Non-Harmonic Fourier Series (1936).- [L13] A Theorem Relating Non-Vanishing and Analytic Functions (1938).- [L 14] On the Growth of Analytic Functions (1938).- [L 15] General Gap Tauberian Theorems: I (1938).- [L 17] Restrictions Imposed by Certain Functions on Their Fourier Transforms (1940).- [L 74] Transformation of an Analytic Function of Several Variables to a Canonical Form (1961).- [L 82] Absolute Convergence and the General High Indices Theorem (1964).- [L 107] (with R. M. Redheffer) Schurs Theorem for Hurwitz Polynomials (1972).- [L 115] On the Szasz-Muntz Theorem (1974).- IX. Stochastic Analysis.- Commentary on [L 33], [L 34], [L 69], [L 70] and [L 81] by Mark Pinsky.- [L 33] The Wiener RMS (Root Mean Square) Error Criterion in Filter Design and Prediction (1947).- [L 34] A Heuristic Exposition of Wieners Mathematical Theory of Prediction and Filtering (1947).- [L 69] Limiting Theorems for Galton-Watson Branching Process (1959).- [L 70] Limiting Theorems for Age-Dependent Branching Process (1960).- [L 81] (with H. P. McKean, Jr.) Weighted Trigonometrical Approximation on R1 with Application to the Germ Field of a Stationary Gaussian Noise (1964).- X. Elementary Number Theory and the Prime Number Theorem.- [L 98] A Motivated Account of an Elementary Proof of the Prime Number Theorem (1969).- [L 109] On the Elementary Character of Wieners General Tauberian Theorem (1973).- XI. The Riemann Zeta-Function.-XI. 1 Zeros on the Critical Line.- Commentary on [L 112], [L 113], [L 116], [L 117], [L 118], [L 120], [L 121] by Brian Conrey.- [L 19] On Hardys Theorem on Zeros of the Zeta Function (1940).- [L 64] On Closure Problems and the Zeros of the Riemann Zeta Function (1956).- [L 99] Zeros of the Riemann Zeta-Function near the 1-Line (1969).- [L 103] On Theorems of Berlowitz and Berndt (1971).- [L 112] More than One Third of Zeros of Riemanns Zeta-Function are on ? = 1/2 (1974).- [L 113] Zeros of Derivative of Riemanns ?-Function (1974).- Corrigendum (1975).- [L 116] At least One-Third of Zeros of Riemanns Zeta-Function are on ? = 1/2 (1974).- [L 117] Generalization of Recent Method Giving Lower Bound for N0(T) of Riemanns Zeta-Function (1974).- [L 118] (with H. L. Montgomery) Zeros of the Derivatives of the Riemann Zeta-Function (1974).- [L 120] A Simplification of the Proof that >N0(T) > (1/3)N(T) for Riemanns Zeta-Function (1975).- [L 121] Deduction of Semi-Optimal Mollifier for Obtaining Lower Bound for >N0(T) of Riemanns Zeta-Function (1975).- XI.2 Omega Results for the Riemann-Zeta Function.- Commentary on [L 104] by Brian Conrey.- [L 104]?-Theorems for the Riemann-Zeta Function (1972).- XI.3 Other Papers on the Riemann Zeta-Function.- [L 108] Remarks on a Formula of Riemann for his Zeta Function (1973).- [L 111] Asymptotic Formula for the Coordinates of the Zeros of Sections of the Zeta Function,?N (s), near s = 1 (1973).- [L 122] Almost All Roots of ?(s) = a Are Arbitrarily Close to ? = 1/2 (1975).- [L 123] On the Number of Sign Changes of ?(x)li x (1976).- XII. Miscellaneous Topics.- Commentary on [L 91] by John Nohel and Hector Sussman.- Commentary on [L 114] by Alladi Ramakrishnan.- [L 12] (with G. H. Hardy), Inequalities Satisfiedby a Certain Definite Integral (1937).- [L 79] Generalization of an Inequality of Ky Fan (1964).- [L 83] Generalizations of an Inequality of Hardy.- [L 91] Minimax, Liapunov and Bang-Bang (1966).- [L 92] Linear Programming in Complex Space (1966).- [L 93] A Class of Continuous Linear Programming Problems (1966).- [L 114] On Ramakrishnans Approach to Relativity (1974).

Additional information

NPB9780817639792
9780817639792
0817639799
Selected Papers of Norman Levinson: Volume 2 by John Nohel
New
Hardback
Birkhauser Boston Inc
1997-12-18
552
N/A
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