Klappentext

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.

Inhalt

• 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 Pólya (1936).- [L 10] On Certain Theorems of Pólya 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) Schur's Theorem for Hurwitz Polynomials (1972).- [L 115] On the Szasz-Müntz 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 Wiener's 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 Wiener's 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 Hardy's 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 Riemann's Zeta-Function are on ? = 1/2 (1974).- [L 113] Zeros of Derivative of Riemann's ?-Function (1974).- Corrigendum (1975).- [L 116] At least One-Third of Zeros of Riemann's Zeta-Function are on ? = 1/2 (1974).- [L 117] Generalization of Recent Method Giving Lower Bound for N0(T) of Riemann's 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 Riemann's Zeta-Function (1975).- [L 121] Deduction of Semi-Optimal Mollifier for Obtaining Lower Bound for >N0(T) of Riemann's 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 Héctor 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 Ramakrishnan's Approach to Relativity (1974).