Overview
- Makes connections between disparate areas of mathematics and its applications
- Student friendly features: Includes worked examples, tables, images, and graphs
- Features a mix of modern and classical analysis: The exposition combines novel approaches and new research advances with classical core areas of mathematics
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2160)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some prescribed group. It is therefore both an art and a science to produce solid conclusions from restricted or limited data.
While the theory of is important in many areas of pure and applied mathematics, it is difficult for students and for the novice to the field, to find accessible presentations which cover all relevant points of view, as well as stressing common ideas and interconnections. We have aimed at filling this gap, and we have stressed hands-on-examples.
Authors and Affiliations
Bibliographic Information
Book Title: Extensions of Positive Definite Functions
Book Subtitle: Applications and Their Harmonic Analysis
Authors: Palle Jorgensen, Steen Pedersen, Feng Tian
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-39780-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-39779-5Published: 09 July 2016
eBook ISBN: 978-3-319-39780-1Published: 08 July 2016
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XXVI, 231
Number of Illustrations: 39 b/w illustrations, 9 illustrations in colour
Topics: Abstract Harmonic Analysis, Topological Groups, Lie Groups, Fourier Analysis, Functional Analysis, Mathematical Physics, Probability Theory and Stochastic Processes