THE EXTENDED FIELD OF OPERATOR THEORY

By ISABELLA JOHNSON

CONTENTS INVERSE SCATTERING TO DETERMINE THE SHAPE OF A VOCAL TRACT POSITIVITY AND THE EXISTENCE OF UNITARY DILATIONS OF COMMUTING CONTRACTIONS THE INFINITE-DIMENSIONAL CONTINUOUS TIME KALMAN–YAKUBOVICH–POPOV INEQUALITY FROM TOEPLITZ EIGENVALUES THROUGH GREEN’S KERNELS TO HIGHER-ORDER WIRTINGER-SOBOLEV INEQUALITIES THE METHOD OF MINIMAL VECTORS APPLIED TO WEIGHTED COMPOSITION OPERATORS THE CONTINUOUS ANALOGUE OF THE RESULTANT AND RELATED CONVOLUTION OPERATORS SPLIT ALGORITHMS FOR CENTROSYMMETRIC TOEPLITZ-PLUS-HANKEL MATRICES WITH ARBITRARY RANK PROFILE SCHMIDT-REPRESENTATION OF DIFFERENCE QUOTIENT OPERATORS ALGEBRAS OF SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS ON WEIGHTED NAKANO SPACES PSEUDODIFFERENTIAL OPERATORS WITH COMPOUND SLOWLY OSCILLATING SYMBOLS EXTENSION OF OPERATOR LIPSCHITZ AND COMMUTATOR BOUNDED FUNCTIONS ON THE KERNEL OF SOME ONE-DIMENSIONAL SINGULAR INTEGRAL OPERATORS WITH SHIFT THE FREDHOLM PROPERTY OF PSEUDODIFFERENTIAL OPERATORS WITH NON-SMOOTH SYMBOLS ON MODULATION SPACES ON INDEFINITE CASES OF OPERATOR IDENTITIES WHICH ARISE IN INTERPOLATION THEORY SINGULAR INTEGRAL OPERATORS IN WEIGHTED SPACES OF CONTINUOUS FUNCTIONS WITH OSCILLATING CONTINUITY MODULI AND OSCILLATING WEIGHTS POLY-BERGMAN SPACES AND TWO-DIMENSIONAL SINGULAR INTEGRAL OPERATORS WEAK MIXING PROPERTIES OF VECTOR SEQUENCES