Operators, Functions, and Systems:: An Easy Reading: Hardy, Hankel, and Toeplitz (1) - Brossura

Nikolski, Nikolai K.

Brossura

ISBN 10: 0821849336 ISBN 13: 9780821849330

Casa editrice: Amer Mathematical Society, 2002

Riassunto

Together with the companion volume by the same author, Operators, Functions, coed Systems: An Easy Reading. Volume 2: Model Operator and Systems, Mathematical Surveys and Monographs, Vol. 93, AMS, 2002, this unique work combines four major topics of modern analysis and its applications:

A. Hardy classes of holomorphic functions.

B. Spectral theory of Hankel and Toeplitz operators,

Hardy classes of holomorphic functions is known to be the most powerful tool in complex analysis for a variety of applications, starting with Fourier series, through the Riemann ζ-function, all the way to Wiener's theory of signal processing.

Spectral theory of Hankel and Toeplitz operators becomes the supporting pillar for a large part of harmonic and complex analysis and for many of their applications. In this book, moment problems, Nevanlinna-Pick and CarathTodory interpolation, and the best rational approximations are considered to illustrate the power of Hankel and Toeplitz operators.

The book is geared toward a wide audience of readers, from graduate students to professional mathematicians, interested in operator theory and functions of a complex variable. Tire two volumes develop an elementary approach while retaining an expert level that can be applied in advanced analysis and selected applications.

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 0821849336
• ISBN 13: 9780821849330
• Rilegatura: Copertina flessibile
• Numero di pagine: 461
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile