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Interpolation, Schur Functions and Moment Problems

✍ Scribed by Daniel Alpay, Israel Gohberg


Publisher
BirkhΓ€user Basel
Year
2006
Tongue
English
Leaves
309
Series
Operator Theory: Advances and Applications / Linear Operators and Linear Systems
Edition
1
Category
Library

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Interpolation, Schur Functions and Momen
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<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

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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