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THE 1987 WALD MEMORIAL LECTURES A GENERALIZATION OF SPECTRAL ANALYSIS WITH APPLICATION TO RANKED DATA
Spectral analysis the simulation data the space
2015/7/14
An analog of the spectral analysis of time series is developed for data in
general spaces. This is applied to data from an election in which 5738 people
rank ordered five candidates. Group theoret...
Generalization of Proth's and Miller's theorems for $Kp^n+1$ numbers
Proth's Miller's theorems
2010/11/24
In this paper we generalize classical results by Miller and Proth for integers of the form $N=Kp^n+1$. The first generalization of Proth's theorem requires the use of a base which is a $p$-th power n...
Clunie and Hayman proved that if the spherical derivative of an entire function has order of growth sigma then the function itself has order at most sigma+1. We extend this result to holomorphic curv...
We extend the inequality of Audenaert et al to general von Neumann algebras.
A Generalization of the Weak Amenability of some Banach Algebra
Generalization Banach Algebra
2010/11/9
Let $A$ be a Banach algebra and $A^{**}$ be the second dual of it. We show that by some new conditions, $A$ is weakly amenable whenever $A^{**}$ is weakly amenable. We will study this problem under g...
An integrable generalization of the sine-Gordon equation on the half-line
Inverse spectral theory Riemann-Hilbert problem boundary value problem
2010/4/7
We analyze a generalization of the sine-Gordon equation in laboratory coordinates on the half-line. Using the Fokas transform method for the analysis of initial-boundary value problems for integrable ...
A generalization of Jaynes' principle: an information-theoretic interpretation of the minimum principles of quantum mechanics and gravitation
Jaynes' principle information-theoretic interpretation minimum principles
2010/11/1
By considering the "kinetic-energy" term of the minimum principle for the Schr\"{o}dinger equation as a measure of information, that minimum principle is viewed as a statistical estimation procedure,...