Interpolation, Schur Functions and Moment Problems

Schur analysis originates with a 1917 paper by Schur where he associated to a function analytic and contractive in the open unit disk a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often called reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions such as interpolation problems, moment problems, study of the relationships between the Schur coefficients and the properties of the function, study of underlying operators and others.
This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

Riassunto

Schur analysis originates with a 1917 paper by Schur where he associated to a function analytic and contractive in the open unit disk a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often called reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions such as interpolation problems, moment problems, study of the relationships between the Schur coefficients and the properties of the function, study of underlying operators and others.
This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

Dettagli sul prodotto

• Con la collaborazione di: Daniel Alpay (Editore), Israel Gohberg (Editore), Israel C. Gohberg (Editore), Danie Alpay (Editore), Gohberg (Editore), Gohberg (Editore)
• Editore: Springer, Basel
• Lingue: Inglese
• Contenuto: Libro
• Forma del prodotto: Copertina rigida
• Data pubblicazione: 21.03.2006
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi
• EAN: 9783764375461
• ISBN: 978-3-7643-7546-1
• Numero di pagine: 304
• Illustrazioni: XI, 304 p.
• Altezza (della confezione): 24.4 cm
• Peso (della confezione): 694 g
• Serie: Operator Theory: Advances and Applications > Vol.165; Operator Theory: Advances and Applications; Linear Operators and Linear Systems
• Categorie: C, Kybernetik und Systemtheorie, Mathematics and Statistics, Functional Analysis, Systems Theory, Control, Functional analysis & transforms, Operator Theory, System Theory, Cybernetics & systems theory, Functional analysis and transforms