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. Under the word "Schur
analysis" one encounters a variety of problems related to Schur
functions such as interpolation problems, moment problems, study of
the relationships between the Schur coefficients and the properties
of the function, study of underlying operators and others.
This volume is almost entirely dedicated to the analysis of
Schur and CarathA(c)odory functions and to the solutions of
problems for these classes.
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