Interpolation, Identification, and Sampling

Autor: Jonathan Partington

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Editura: Oxford University Press

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This book is concerned with applications of functional analysis and complex analysis to problems of...

Informații despre carte

Autor

Jonathan Partington

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1997

Pagini

280

EAN

9780198500247

ISBN

0198500246

Enbook ID

04526735

Editura

Oxford University Press

Greutate

557

Dimensiuni

161 x 242 x 19

Descriere completă

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 corrupted by 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 function spaces 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 many contributions. 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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