Gaussian Processes, Function Theory and the Inverse Spectral Problem
Author | : Harry Dym |
Publisher | : |
Total Pages | : 333 |
Release | : 1976 |
Genre | : Gaussian processes |
ISBN | : |
Download Gaussian Processes Function Theory And The Inverse Spectral Problem full books in PDF, epub, and Kindle. Read online free Gaussian Processes Function Theory And The Inverse Spectral Problem ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Harry Dym |
Publisher | : |
Total Pages | : 333 |
Release | : 1976 |
Genre | : Gaussian processes |
ISBN | : |
Author | : Harry Dym |
Publisher | : |
Total Pages | : 333 |
Release | : 1976 |
Genre | : Gaussian processes |
ISBN | : |
Author | : Harry Dym |
Publisher | : Courier Corporation |
Total Pages | : 354 |
Release | : 2008-01-01 |
Genre | : Mathematics |
ISBN | : 048646279X |
This text offers background in function theory, Hardy functions, and probability as preparation for surveys of Gaussian processes, strings and spectral functions, and strings and spaces of integral functions. It addresses the relationship between the past and the future of a real, one-dimensional, stationary Gaussian process. 1976 edition.
Author | : Harry Dym |
Publisher | : |
Total Pages | : 333 |
Release | : 1975 |
Genre | : Gaussian processes |
ISBN | : |
Author | : I.A. Ibragimov |
Publisher | : Springer Science & Business Media |
Total Pages | : 285 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461262755 |
The book deals mainly with three problems involving Gaussian stationary processes. The first problem consists of clarifying the conditions for mutual absolute continuity (equivalence) of probability distributions of a "random process segment" and of finding effective formulas for densities of the equiva lent distributions. Our second problem is to describe the classes of spectral measures corresponding in some sense to regular stationary processes (in par ticular, satisfying the well-known "strong mixing condition") as well as to describe the subclasses associated with "mixing rate". The third problem involves estimation of an unknown mean value of a random process, this random process being stationary except for its mean, i. e. , it is the problem of "distinguishing a signal from stationary noise". Furthermore, we give here auxiliary information (on distributions in Hilbert spaces, properties of sam ple functions, theorems on functions of a complex variable, etc. ). Since 1958 many mathematicians have studied the problem of equivalence of various infinite-dimensional Gaussian distributions (detailed and sys tematic presentation of the basic results can be found, for instance, in [23]). In this book we have considered Gaussian stationary processes and arrived, we believe, at rather definite solutions. The second problem mentioned above is closely related with problems involving ergodic theory of Gaussian dynamic systems as well as prediction theory of stationary processes.
Author | : A.N. Shiryayev |
Publisher | : Springer Science & Business Media |
Total Pages | : 618 |
Release | : 1992-02-29 |
Genre | : Mathematics |
ISBN | : 902772797X |
The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.
Author | : Katsumi Nomizu |
Publisher | : American Mathematical Soc. |
Total Pages | : 176 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 9780821875124 |
This book presents papers in the general area of mathematical analysis as it pertains to probability and statistics, dynamical systems, differential equations, and analytic function theory. Among the topics discussed are: stochastic differential equations, spectra of the Laplacian and Schrödinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets, and the global structure of analytic functions.
Author | : Vladislav V. Kravchenko |
Publisher | : Springer Nature |
Total Pages | : 685 |
Release | : 2020-04-11 |
Genre | : Mathematics |
ISBN | : 303035914X |
Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.
Author | : Vinai K. Singh |
Publisher | : Springer |
Total Pages | : 498 |
Release | : 2019-02-14 |
Genre | : Computers |
ISBN | : 3030024873 |
This special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathematics and Scientific Computing. The topics to be covered in this International Conference are comprehensive and will be adequate for developing and understanding about new developments and emerging trends in this area. High-Performance Computing (HPC) systems have gone through many changes during the past two decades in their architectural design to satisfy the increasingly large-scale scientific computing demand. Accurate, fast, and scalable performance models and simulation tools are essential for evaluating alternative architecture design decisions for the massive-scale computing systems. This conference recounts some of the influential work in modeling and simulation for HPC systems and applications, identifies some of the major challenges, and outlines future research directions which we believe are critical to the HPC modeling and simulation community.