INTERPOLATION, SCHUR FUNCTIONS AND MOMENT PROBLEMS

By X. ELONI

TABLE OF CONTENTS BASIC BOUNDARY INTERPOLATION FOR GENERALIZED SCHUR FUNCTIONS AND FACTORIZATION RATIONAL MATRIX FUNCTIONS DISCRETE ANALOGS CANONICAL SYSTEMS WITH PSEUDO-EXPONENTIAL POTENTIAL INVERSE PROBLEMS BOUNDARY NEVANLINNA·PICK INTERPOLATION PROBLEMS FOR GENERALIZED SCHUR FUNCTIONS TRUNCATED MATRICIAL MOMENT PROBLEM FINITE INTERVAL SHIFT OPERATORS CONTAINED CONTRACTIONS, SCHUR PARAMETERS AND PSEUDOCONTINUABLE SCHUR FUNCTIONS THE MATRICIAL CARATH´EODORY PROBLEM BOTH NONDEGENERATE AND DEGENERATE CASES GOHBERG-HEINIG TYPE INVERSION FORMULA INVOLVING HANKEL OPERATORS