SYSTEM THEORY, THE SCHUR ALGORITHM AND MULTIDIMENSIONAL ANALYSIS

By KENNETH MOORE

CONTENTS THE TRANSFORMATION OF ISSAI SCHUR AND RELATED TOPICS IN AN INDE?NITE SETTING A TRUNCATED MATRICIAL MOMENT PROBLEM ON A FINITE INTERVAL THE CASE OF AN ODD NUMBER OF PRESCRIBED MOMENTS ON THE IRREDUCIBILITY OF A CLASS OF HOMOGENEOUS OPERATORS CANONICAL FORMS FOR SYMMETRIC AND SKEWSYMMETRIC QUATERNIONIC MATRIX PENCILS ALGORITHMS TO SOLVE HIERARCHICALLY SEMI-SEPARABLE SYSTEMS UNBOUNDED NORMAL ALGEBRAS AND SPACES OF FRACTIONS