Gaussian Processes, Function Theory and the Inverse Spectral Problem
Author | : Harry Dym |
Publisher | : |
Total Pages | : 333 |
Release | : 1976 |
Genre | : Gaussian processes |
ISBN | : |
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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 | : 1976 |
Genre | : Gaussian processes |
ISBN | : |
Author | : Harry Dym |
Publisher | : |
Total Pages | : 333 |
Release | : 1975 |
Genre | : Gaussian processes |
ISBN | : |
Author | : Jurgen Poschel |
Publisher | : Academic Press |
Total Pages | : 209 |
Release | : 1987-03-16 |
Genre | : Mathematics |
ISBN | : 0080874495 |
Inverse Spectral Theory
Author | : Christian Remling |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 206 |
Release | : 2018-08-21 |
Genre | : Mathematics |
ISBN | : 3110563231 |
Canonical systems occupy a central position in the spectral theory of second order differential operators. They may be used to realize arbitrary spectral data, and the classical operators such as Schrödinger, Jacobi, Dirac, and Sturm-Liouville equations can be written in this form. ‘Spectral Theory of Canonical Systems’ offers a selfcontained and detailed introduction to this theory. Techniques to construct self-adjoint realizations in suitable Hilbert spaces, a modern treatment of de Branges spaces, and direct and inverse spectral problems are discussed. Contents Basic definitions Symmetric and self-adjoint relations Spectral representation Transfer matrices and de Branges spaces Inverse spectral theory Some applications The absolutely continuous spectrum
Author | : L.A. Sakhnovich |
Publisher | : Birkhäuser |
Total Pages | : 201 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034887132 |
Theorems of factorising matrix functions and the operator identity method play an essential role in this book in constructing the spectral theory (direct and inverse problems) of canonical differential systems. Includes many varied applications of the general theory.
Author | : V. P. Havin |
Publisher | : Springer |
Total Pages | : 491 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540386262 |
Author | : Mikhail Lifshits |
Publisher | : Springer Science & Business Media |
Total Pages | : 129 |
Release | : 2012-01-11 |
Genre | : Mathematics |
ISBN | : 3642249396 |
Gaussian processes can be viewed as a far-reaching infinite-dimensional extension of classical normal random variables. Their theory presents a powerful range of tools for probabilistic modelling in various academic and technical domains such as Statistics, Forecasting, Finance, Information Transmission, Machine Learning - to mention just a few. The objective of these Briefs is to present a quick and condensed treatment of the core theory that a reader must understand in order to make his own independent contributions. The primary intended readership are PhD/Masters students and researchers working in pure or applied mathematics. The first chapters introduce essentials of the classical theory of Gaussian processes and measures with the core notions of reproducing kernel, integral representation, isoperimetric property, large deviation principle. The brevity being a priority for teaching and learning purposes, certain technical details and proofs are omitted. The later chapters touch important recent issues not sufficiently reflected in the literature, such as small deviations, expansions, and quantization of processes. In university teaching, one can build a one-semester advanced course upon these Briefs.