Interpolation, Identification, and Sampling

Hardcover | July 1, 1997

byJonathan R. Partington

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This book is concerned with applications of functional analysis and complex analysis to problems of interpolation in spaces of analytic functions. The problems we look at are those of recovery, producing approximations to functions from measured values. These values may in turn be corruptedby small errors and we wish to be able to produce a good model using this partial and inaccurate information. The practical applications include systems identification, signal processing, and sampling. A selection of the material of this book would be appropriate for a graduate course on functionspaces and operators acting on them. Chapter 8 gives a mathematician's introduction to H( control theory, one of the big research areas of the last 15 years. Worst-case identification (discussed in Chapters 3,4, and 6) is a major area of modern systems theory to which the author has made manycontributions. This book gives the first theoretical treatment of this area: it includes much practical material on input design and identification algorithms. Sampling and systems processing is another active area of research. The book presents an accessible treatment of several advanced topics,some included for the first time in any book.

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From the Publisher

This book is concerned with applications of functional analysis and complex analysis to problems of interpolation in spaces of analytic functions. The problems we look at are those of recovery, producing approximations to functions from measured values. These values may in turn be corruptedby small errors and we wish to be able to pr...

Jonathan Partington is at University of Leeds.

other books by Jonathan R. Partington

Format:HardcoverDimensions:280 pages, 9.21 × 6.14 × 0.75 inPublished:July 1, 1997Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198500246

ISBN - 13:9780198500247

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Table of Contents

1. Function spaces and operators2. Interpolation and recovery3. Worst-case identification of functions4. Approximation and interpolation5. Hilbert space methods6. Convolution operators7. Sampling8. Applications

Editorial Reviews

`...the systems or signal processing engineer with some mathematical background will be delighted to find here all the mathematics he always wanted to learn, but did not know where to start. The material is presented in such a way that it is accessible for any application minded mathematicianor theory inclined engineer from graduate level ... the necessary concepts are introduced first, so that even the non-specialist will understand and appreciate the results presented.'Newsletter on Computational and Applied Mathematics, vol.14, nr.1, March 1998