libcats.org
Главная

Orthogonal Rational Functions (Cambridge Monographs on Applied and Computational Mathematics)

Обложка книги Orthogonal Rational Functions (Cambridge Monographs on Applied and Computational Mathematics)

Orthogonal Rational Functions (Cambridge Monographs on Applied and Computational Mathematics)

, , ,
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.
EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb
Только что пользователи скачали эти книги:

Эдмонд Гамильтон. Звездные молот

Автор:
Размер книги: 176 Kb

Grace, The Power of The Gospel

Автор:
Размер книги: 542 Kb

The Dharma Bums

Автор:
Категория: fiction
Размер книги: 9.20 Mb