Gaussian Processes, Function Theory, and the Inverse Spectral Problem by H Mckean

Gaussian Processes, Function Theory, and the Inverse Spectral Problem by H Mckean

This book deals with the relation between the past and the future of a real, one-dimensional, stationary Gaussian process. Kolmogorov and Wiener showed how best to predict the future knowing the whole past. The more difficult problem, when only a finite segment of the past is known, was solved by M. G. Krein. A full treatment of this problem, and theprerequisites for dealing with it, occupies most of the book. The first three chapters are devoted to the necessary background in function theory, Hardy spaces and probability. Later chapters introduce the spectral theory of a weighted string developed by Krein and certain Hilbert spaces of entire functions introduced by L. de Branges. Various other connections between past and future are considered, such as mixing and Markovian character. The final chapter treats the problem of interpolation, when the whole process is known except for a gap and it is desired to predict what happens there.

SKU	Nicht verfügbar
ISBN 13	9780486462790
ISBN 10	048646279X
Titel	Gaussian Processes, Function Theory, and the Inverse Spectral Problem
Autor	H Mckean
Serie	Dover Books On Mathematics
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Dover Publications Inc.
Erscheinungsjahr	2008-02-29
Seitenanzahl	352
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
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