Interpolation, Identification, and Sampling

Interpolation, Identification, and Sampling

by Jonathan R. Partington
     
 

ISBN-10: 0198500246

ISBN-13: 9780198500247

Pub. Date: 10/28/1997

Publisher: Oxford University Press, USA

This book applies functional analysis and complex analysis to problems of interpolation in spaces of analytic functions. It examines problems of recovery—producing approximations to functions from measured values. These values may in turn be corrupted by small errors; the book discusses methods for producing good models using this partial and inaccurate

Overview

This book applies functional analysis and complex analysis to problems of interpolation in spaces of analytic functions. It examines problems of recovery—producing approximations to functions from measured values. These values may in turn be corrupted by small errors; the book discusses methods for producing good models using this partial and inaccurate information. The practical applications include systems identification, signal processing, and sampling. The book provides mathematical introductions to many important areas of current research, including H( control theory, sampling and systems processing, and the theory of worst-case identification. This is the first formal treatment of worst-case identification, a field where the author is a leading authority, and the discussion includes much practical material on input design and identification algorithms. This material is appropriate for a graduate-level course on function spaces and the operators acting on them.

Product Details

ISBN-13:
9780198500247
Publisher:
Oxford University Press, USA
Publication date:
10/28/1997
Series:
London Mathematical Society Monographs Series, #17
Pages:
288
Product dimensions:
6.30(w) x 9.30(h) x 0.80(d)

Table of Contents

1. Function spaces and operators
2. Interpolation and recovery
3. Worst-case identification of functions
4. Approximation and interpolation
5. Hilbert space methods
6. Convolution operators
7. Sampling
8. Applications

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