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Orthogonal Rational Functions by Adhemar Bultheel: New
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eBay-Artikelnr.:402831832815
Artikelmerkmale
- Artikelzustand
- Book Title
- Orthogonal Rational Functions
- Publication Date
- 1999-02-13
- ISBN
- 9780521650069
Über dieses Produkt
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521650062
ISBN-13
9780521650069
eBay Product ID (ePID)
514326
Product Key Features
Number of Pages
424 Pages
Publication Name
Orthogonal RATIONAL Functions
Language
English
Publication Year
1999
Subject
Mathematical Analysis, Complex Analysis
Type
Textbook
Subject Area
Mathematics
Series
Cambridge Monographs on Applied and Computational Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
1.3 in
Item Weight
27.9 Oz
Item Length
9.3 in
Item Width
6.2 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
98-011646
Dewey Edition
21
Reviews
"...emphasizes new developments in contemporary mathematical and computational sciences, and it is intended that books in it should serve to inform a new generation of research students and professionals alike." Mathematical Reviews, ‘The text is written with great clarity … A book with four authors is not common, but these four … are to be applauded for their achievement.’J. H. McCabe, 'The text is written with great clarity … A book with four authors is not common, but these four … are to be applauded for their achievement.' J. H. McCabe, "...an excellent book which is indispensable for anyone who wants to loosen the shackles of the fixed pole situation present in the ordinary theory on the real line and the unit circle. To top that, the price makes it possible for everyone working in the field to buy a personal copy." Mathematics of Computation, 'The text is written with great clarity ... A book with four authors is not common, but these four ... are to be applauded for their achievement.'J. H. McCabe, "This is the first book to discuss the rational orthogonal functions in such a great detail...The well-written, cohesive presentation should be of great assistance to new and experienced researchers, both mathematicians and physicists, in the area of rational orthogonal functions." Siam Review, 'The text is written with great clarity ... A book with four authors is not common, but these four ... are to be applauded for their achievement.' J. H. McCabe, "The text is written with great clarity and the order in which the material is presented is well designed...combined very successfully in this joint venture." Proceedings of the Edinburgh Mathematical Society
Series Volume Number
Series Number 5
Illustrated
Yes
Dewey Decimal
515/.55
Table Of Content
List of symbols; Introduction; 1. Preliminaries; 2. The fundamental spaces; 3. The kernel functions; 4. Recurrence and second kind functions; 5. Para-orthogonality and quadrature; 6. Interpolation; 7. Density of the rational functions; 8. Favard theorems; 9. Convergence; 10. Moment problems; 11. The boundary case; 12. Some applications; Conclusion; Bibliography; Index.
Synopsis
This book generalises the classical theory of orthogonal polynomials on the complex unit circle or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. This theory has applications in theoretical real analysis, complex analysis, approximation theory, numerical analysis, and electrical engineering., This book generalises the classical theory of orthogonal polynomials on the complex unit circle, or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics, and moment problems are generalised and treated in detail. The same topics are discussed for the different situation where the poles are located on the unit circle or on the extended real line. In the last chapter, several applications are mentioned including linear prediction, Pisarenko modelling, lossless inverse scattering, and network synthesis. This theory has many applications in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and in electrical engineering., This volume generalizes the classical theory of orthogonal polynomials on the complex unit circle or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics, and moment problems are generalized and treated in detail. The same topics are discussed for a different situation where the poles are located on the unit circle or on the extended real line. In the last chapter, several applications are mentioned including linear prediction, Pisarenko modeling, lossless inverse scattering, and network synthesis. This theory has many applications both in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and electrical engineering.
LC Classification Number
QA404.5 .O75 1999
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- m***m (2332)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!Tobin's Spirit Guide: Official Ghostbusters Edition by Erik Burnham: Used (Nr. 404302598631)
- _***b (57)- Bewertung vom Käufer.Letzter MonatBestätigter KaufI gave 5 stars on shipping because i sent 2 separate emails + they responded with helpful info, even though it arrived late. This was a great value with free shipping + the condition is very good, better than advertised 🙂! The overall quality and appearance is excellent! I highly recommend this seller and give them 👍👍👍👍
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AlibrisBooks
98,7% positive Bewertungen•2,0 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (521.965)
- e***n (390)- Bewertung vom Käufer.Letzter MonatBestätigter KaufGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, Joe
- m***m (2332)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!Tobin's Spirit Guide: Official Ghostbusters Edition by Erik Burnham: Used (Nr. 404302598631)
- _***b (57)- Bewertung vom Käufer.Letzter MonatBestätigter KaufI gave 5 stars on shipping because i sent 2 separate emails + they responded with helpful info, even though it arrived late. This was a great value with free shipping + the condition is very good, better than advertised 🙂! The overall quality and appearance is excellent! I highly recommend this seller and give them 👍👍👍👍