Physical description 
1 online resource (xviii, 197 pages). 
Series 
Mathematics and Its Applications ; 428 

Mathematics and Its Applications ; 428.

Summary 
This volume is devoted to the use of the method of operator identities for investigating interpolation and expansion problems. A general interpolation problem comprising both classical and new elements is formulated. The solution of an abstract form of the Potapov inequality enables the description of the set of solutions of the general interpolation problem. Connections between the solved interpolation problem and important problems of analysis, occurring in, for example, spectral theory, nonlinear integrable equations, and generalised stationary processes are then considered. Audience: This book will be of interest to graduate students and researchers whose work involves approximations and expansions; operator theory; measure and integration; general mathematics systems; and Fourier analysis. 
Subject 
Mathematics.


Fourier analysis.


Operator theory.


Logic, Symbolic and mathematical.


Fourier analysis. 

Logic, Symbolic and mathematical. 

Mathematics. 

Operator theory. 

Electronic books. 
ISBN 
9789400900592 (electronic bk.) 

9400900597 (electronic bk.) 

9789401065160 

9401065160 

9400900597 
