<P>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. U
Interpolation, Schur functions, and moment problems
β Scribed by Daniel Alpay, Israel Gohberg
- Publisher
- BirkhΓ€user Verlag
- Year
- 2006
- Tongue
- English
- Leaves
- 309
- Series
- Operator theory, advances and applications Linear operators and linear systems 165
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
<p><p>The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beg
<p><p>The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beg
These lecture notes take the reader from Lennart Carleson's first deep results on interpolation and corona problems in the unit disk to modern analogues in the disk and ball. The emphasis is on introducing the diverse array of techniques needed to attack these problems rather than producing an encyc