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4.0 von 5 Sternen This is a good second or third book on generalized functions, 17. Juni 2000
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Rezension bezieht sich auf: Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications (Dover Books on Mathematics) (Taschenbuch)
This is a good second or third book on generalized functions which are otherwise known as "distributions". A good first book is "Fourier Analysis and Generalised Functions" by Lighthill. This book is based on a graduate course and provides a good introduction to distribution theory and generalized Fourier analysis. You need to have a good background in advanced calculus and be comfortable with Lebesgue theorems concerning interchangeable limit processes. The examples are quite good, but the notation is intense and the way that it is packed in small font onto a page doesn't help. The writing is compact and thorough.
I recommend this book to anyone who has had the standard digital signal processing course where the Delta function (distribution) is used freely and who has wondered what it really means.
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