Interpolation Theory and Its Applications
By: by L. A. Sakhnovich
Series: Mathematics and Its Applications -- 428; Mathematics and Its Applications -- 428
Publisher: Springer Netherlands
Published: 1997
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 197
ISBN-13: 9789401065160; 9789400900592
Subjects: Mathematics; Fourier analysis; Operator theory; Symbolic and mathematical Logic
Description: 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.
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